{
 "cells": [
  {
   "cell_type": "markdown",
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   "source": [
    "# Change-point study\n",
    "\n",
    "[Change point analysis](http://www.variation.com/cpa/tech/changepoint.html) or [change detection](https://en.wikipedia.org/wiki/Change_detection) deals with abrupt changes in statistical properties of time series. *bayesloop* includes two types of abrupt changes: an abrupt change in parameter values is modeled by the transition model `Changepoint`. In contrast to this change in value, the transition model itself may change at specific points in time, which we will refer to as *structural breaks*. These structural changes are implemented using the `SerialTransitionModel` class. The following two sections introduce the `ChangepointStudy` class and describe its usage to analyze both change-points and structural breaks in time series data."
   ]
  },
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   "source": [
    "%matplotlib inline\n",
    "import matplotlib.pyplot as plt # plotting\n",
    "plt.style.use('seaborn-v0_8-whitegrid')  # plot styling\n",
    "\n",
    "import bayesloop as bl\n",
    "import numpy as np"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Analyzing abrupt changes of parameter values\n",
    "\n",
    "The `ChangepointStudy` class represents an extension of the `HyperStudy` introduced above and provides an easy-to-use interface to conduct change-point studies. By calling the `fit` method, this type of study first analyzes the defined transition model and detects all instances of the `Changepoint` class. Instead of directly using all combinations of predefined change-points provided by the user, it then computes a list of all valid combinations of change-point times and fits them (basically preventing the double-counting of change-point times due to reversed order). With Bayesian evidence as an objective fitness measure, this type of study can be used to answer the general question of when changes have happened. Furthermore, we may compute a distribution of change-point times to assess the (un-)certainty of these points in time.\n",
    "\n",
    "<div style=\"background-color: #e7f2fa; border-left: 5px solid #6ab0de; padding: 0.5em; margin-top: 1em; margin-bottom: 1em\">\n",
    "**Note:** For simple change-point analyses with only one change-/break-point or multiple change-/break-points which do not \"overlap\", using the `HyperStudy` class is sufficient, too.\n",
    "</div>\n",
    "\n",
    "### Analysis of a single change-point\n",
    "In a first example, we assume a single change-point in our data set of coal mining disasters. Using the `ChangepointStudy`, we iterate over all possible time steps using the change-point model. After processing all time steps, the probability distribution of the change-point as well as an average model are computed. This study may also be carried out using MCMC methods, see e.g. the [PyMC tutorial](https://pymc-devs.github.io/pymc/tutorial.html) for comparison.\n",
    "\n",
    "The change-point study is set up as shown below. Note that we supply the value `'all'` to the change-point hyper-parameter `'t_change'`, indicating that all possible time steps are considered as a change-point. One could of course also provide a list of possible candidate time steps."
   ]
  },
  {
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   "execution_count": 2,
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   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "+ Created new study.\n",
      "  --> Hyper-study\n",
      "  --> Change-point analysis\n",
      "+ Successfully imported example data.\n",
      "+ Observation model: Poisson. Parameter(s): ['accident_rate']\n",
      "+ Transition model: Change-point. Hyper-Parameter(s): ['change_point']\n",
      "+ Detected 1 change-point(s) in transition model: ['change_point']\n",
      "+ Set hyper-prior(s): ['uniform']\n",
      "+ Started new fit.\n",
      "    + 109 analyses to run.\n"
     ]
    },
    {
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      "text/plain": [
       "  0%|          | 0/109 [00:00<?, ?it/s]"
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     "name": "stdout",
     "output_type": "stream",
     "text": [
      "    + Computed average posterior sequence\n",
      "    + Computed hyper-parameter distribution\n",
      "    + Log10-evidence of average model: -77.93783\n",
      "    + Computed local evidence of average model\n",
      "    + Computed mean parameter values.\n",
      "+ Finished fit.\n"
     ]
    }
   ],
   "source": [
    "S = bl.ChangepointStudy()\n",
    "S.load_example_data()\n",
    "\n",
    "L = bl.om.Poisson('accident_rate', bl.oint(0, 6, 1000))\n",
    "T = bl.tm.ChangePoint('change_point', 'all')\n",
    "\n",
    "S.set(L, T)\n",
    "S.fit()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "After all fits are completed, we can plot the change-point distribution, by using the usual `plot` method. We may further use the `eval` method to draw quantitative conclusions from the change-point distribution:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
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    "execution": {
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     "shell.execute_reply": "2026-04-27T19:15:26.845662Z"
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   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Probability of change-point between 1887 and 1893: 0.8390920402784564\n"
     ]
    },
    {
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",
      "text/plain": [
       "<Figure size 800x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(8, 4))\n",
    "\n",
    "S.plot('change_point', color='g', alpha=.8)\n",
    "\n",
    "plt.xlim([1875, 1905])\n",
    "plt.xlabel('year')\n",
    "\n",
    "\n",
    "x, p = S.get_hyper_parameter_distribution('change_point')\n",
    "p1 = np.sum(p[x < 1887])\n",
    "p2 = np.sum(p[x > 1893])\n",
    "\n",
    "# compute probability of change-point between 1887 and 1893\n",
    "print('Probability of change-point between 1887 and 1893: {}'.format(1.-p1-p2))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "From this distribution, we may conclude that a change in safety conditions of coal mines in the UK happened during the seven-year interval from 1887 to 1893 with a probability of $\\approx 84\\%$.\n",
    "\n",
    "*bayesloop* further weighs all fitted models by their probability from the change-point distribution and subsequently adds them up, resulting in an average model, which is stored in `S.posterior_sequence` and `S.posterior_mean_values`. Additionally, the log-evidence of the average model is set by the weighted sum of all log-evidence values. These results can be plotted as before, using `plot`:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false,
    "execution": {
     "iopub.execute_input": "2026-04-27T19:15:26.847198Z",
     "iopub.status.busy": "2026-04-27T19:15:26.847119Z",
     "iopub.status.idle": "2026-04-27T19:15:26.939647Z",
     "shell.execute_reply": "2026-04-27T19:15:26.939322Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(8, 4))\n",
    "plt.bar(S.raw_timestamps, S.raw_data, align='center', facecolor='r', alpha=.5)\n",
    "S.plot('accident_rate')\n",
    "plt.xlim([1851, 1962])\n",
    "plt.xlabel('year');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "### Exploring possible change-points\n",
    "The change-point study described above explicitly assumes the existence of a single change-point in the data set. Without any prior knowledge about the data, however, this assumption can rarely be made with certainty as the number of potential change-points is often unknown.\n",
    "\n",
    "In order to *explore* possible change-points without prior knowledge, *bayesloop* includes the transition model `RegimeSwitch`, which assigns a minimal probability (specified on a log<sub>10</sub>-scale by `log10p_min`, relative to the probability value of a flat distribution) to all parameter values on the parameter grid at every time step. This model allows for abrupt parameter changes only, and neglects gradually varying parameter dynamics. Note that no `ChangepointStudy` is needed for this kind of analysis, the *\"standard\"* `Study` class is sufficient.\n",
    "\n",
    "For the coal mining example, the results from the regime-switching model with a minimal probability of $10^{-7}$ resemble the average model of the change-point study:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false,
    "execution": {
     "iopub.execute_input": "2026-04-27T19:15:26.940930Z",
     "iopub.status.busy": "2026-04-27T19:15:26.940837Z",
     "iopub.status.idle": "2026-04-27T19:15:27.044468Z",
     "shell.execute_reply": "2026-04-27T19:15:27.044004Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "+ Created new study.\n",
      "+ Successfully imported example data.\n",
      "+ Observation model: Poisson. Parameter(s): ['accident_rate']\n",
      "+ Transition model: Regime-switching model. Hyper-Parameter(s): ['log10pMin']\n",
      "+ Started new fit:\n",
      "    + Formatted data.\n",
      "    + Set prior (function): jeffreys. Values have been re-normalized.\n"
     ]
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "aff97083020f4a6187feea845715ab7d",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "  0%|          | 0/110 [00:00<?, ?it/s]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "    + Finished forward pass.\n",
      "    + Log10-evidence: -80.63781\n"
     ]
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "c2bc40c1cbdf44e4b4d8fcebc7aafccf",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "  0%|          | 0/110 [00:00<?, ?it/s]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "    + Finished backward pass.\n",
      "    + Computed mean parameter values.\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "S = bl.Study()\n",
    "S.load_example_data()\n",
    "\n",
    "L = bl.om.Poisson('accident_rate', bl.oint(0, 6, 1000))\n",
    "T = bl.tm.RegimeSwitch('log10p_min', -7)\n",
    "\n",
    "S.set(L, T)\n",
    "S.fit()\n",
    "\n",
    "plt.figure(figsize=(8, 4))\n",
    "plt.bar(S.raw_timestamps, S.raw_data, align='center', facecolor='r', alpha=.5)\n",
    "S.plot('accident_rate')\n",
    "plt.xlim([1851, 1962])\n",
    "plt.xlabel('year');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Analysis of multiple change-points\n",
    "Suppose the regime-switching process introduced above indicates two distinct change-points in a data set. In this case, the `ChangepointStudy` class can be used together with a `CombinedTransitionModel` to perform a comprehensive analysis assuming two change-points. The combined transition model here simply consists of two instances of the `ChangePoint` model. We use the example below to investigate possible change-points in the disaster rate after the significant decrease at the end of the 19th century, i.e. restricting the data set to the time after 1900. Note that the `ChangepointStudy` will only consider combinations of change-points that are in ascending temporal order, i.e. the second change-point must occur after the first one.\n",
    "\n",
    "After all fits are done, the resulting joint change-point distribution can be plotted using the `get_joint_hyper_parameter_distribution` (`get_joint_hyper_parameter_distribution`) method (similar to plotting the joint distribution of a hyper-study)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false,
    "execution": {
     "iopub.execute_input": "2026-04-27T19:15:27.045482Z",
     "iopub.status.busy": "2026-04-27T19:15:27.045398Z",
     "iopub.status.idle": "2026-04-27T19:15:31.725686Z",
     "shell.execute_reply": "2026-04-27T19:15:31.725151Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "+ Created new study.\n",
      "  --> Hyper-study\n",
      "  --> Change-point analysis\n",
      "+ Successfully imported example data.\n",
      "+ Observation model: Poisson. Parameter(s): ['accident_rate']\n",
      "+ Transition model: Combined transition model. Hyper-Parameter(s): ['t_1', 't_2']\n",
      "+ Detected 2 change-point(s) in transition model: ['t_1', 't_2']\n",
      "+ Set hyper-prior(s): ['uniform', 'uniform']\n",
      "+ Started new fit.\n",
      "    + 1770 analyses to run.\n"
     ]
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "2e17aab45fc6454c937b0cb327fff252",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "  0%|          | 0/1770 [00:00<?, ?it/s]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "    + Computed average posterior sequence\n",
      "    + Computed hyper-parameter distribution\n",
      "    + Log10-evidence of average model: -39.30238\n",
      "    + Computed local evidence of average model\n",
      "    + Computed mean parameter values.\n",
      "+ Finished fit.\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "S = bl.ChangepointStudy()\n",
    "S.load_example_data()\n",
    "\n",
    "mask = S.raw_timestamps > 1900 # select timestamps greater than the year 1900\n",
    "S.raw_timestamps = S.raw_timestamps[mask]\n",
    "S.raw_data = S.raw_data[mask]\n",
    "\n",
    "L = bl.om.Poisson('accident_rate', bl.oint(0, 6, 1000))\n",
    "T = bl.tm.CombinedTransitionModel(bl.tm.ChangePoint('t_1', 'all'),\n",
    "                                  bl.tm.ChangePoint('t_2', 'all'))\n",
    "\n",
    "S.set(L, T)\n",
    "S.fit()\n",
    "\n",
    "S.get_joint_hyper_parameter_distribution(['t_1', 't_2'], plot=True, color=[0.1, 0.8, 0.1])\n",
    "plt.xlim([1899, 1962])\n",
    "plt.ylim([1899, 1962])\n",
    "\n",
    "# set proper view-point\n",
    "ax = plt.gca()\n",
    "ax.view_init(elev=35, azim=150)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Instead of focusing on the exact time steps of the change-points, some applications may call for the analysis of the time interval between two change-points. The `ChangepointStudy` class provides a method called `get_duration_distribution` which computes the probabilities of different time intervals between two change-points and optionally plots them in a bar graph. Based on the example above, the resulting *\"duration distribution\"* is shown below:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false,
    "execution": {
     "iopub.execute_input": "2026-04-27T19:15:31.726876Z",
     "iopub.status.busy": "2026-04-27T19:15:31.726774Z",
     "iopub.status.idle": "2026-04-27T19:15:31.782791Z",
     "shell.execute_reply": "2026-04-27T19:15:31.782366Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(8, 4))\n",
    "S.get_duration_distribution(['t_1', 't_2'], plot=True, color='g', alpha=.8)\n",
    "plt.xlim([0, 62]);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Finally, we plot the averaged parameter evolution of the two-change-point model. From the duration distribution as well as from the temporal evolution of the inferred disaster rate we may conclude that there is indeed a time period with a slightly increased disaster rate, which begins in $\\approx$ 1930 and ends in $\\approx$ 1945. The duration distribution underlines this finding with high probability values for durations up to 20 years."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false,
    "execution": {
     "iopub.execute_input": "2026-04-27T19:15:31.784012Z",
     "iopub.status.busy": "2026-04-27T19:15:31.783935Z",
     "iopub.status.idle": "2026-04-27T19:15:31.862459Z",
     "shell.execute_reply": "2026-04-27T19:15:31.861993Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(8, 4))\n",
    "plt.bar(S.raw_timestamps, S.raw_data, align='center', facecolor='r', alpha=.5)\n",
    "S.plot('accident_rate')\n",
    "plt.xlim([1901, 1961])\n",
    "plt.xlabel('year');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "## Analyzing structural breaks in time series models\n",
    "In contrast to a pure change in parameter value, the whole type of parameter dynamics may change at a given point in time. We will use the term *structural break* to describe such events. We have already investigated so-called serial transition models that describe parameter dynamics which change from time to time. While these serial transition models are a recurring topic in this tutorial (see [here](modelselection.ipynb#Serial-transition-model), [here](hyperparameteroptimization.ipynb) and [here](hyperstudy.ipynb)), the times at which the structural breaks happen have - up to this point - always been user-defined and fixed. This restriction can be lifted by the `ChangepointStudy` class. If a `SerialTransitionModel` is defined within the change-point study, all structural breaks will be treated as variables and the `fit` method will iterate over all possible combinations, just as with *\"normal\"* change-points.\n",
    "\n",
    "In this section, our goal is to build a model to determine how long it took for the disaster rate to decrease from $\\approx$ 3 disasters per year to only $\\approx$ 1 per year. This kind of study may generally be applied to assess the effectiveness of policies like safety regulations. Here, we devise a simple serial transition model that consists of three phases to describe the change in the annual number of coal mining disasters: in the first and the last phase, we assume a constant disaster rate, while the intermediate phase is modeled by a linear decrease of the disaster rate. By providing multiple values for the slope of the intermediate phase, we can combine the advantages of both hyper- and change-point study in order to consider the uncertainty of the change-points *and* the uncertainty of the slope of the intermediate phase. We restrict the data set to the years from 1870 to 1910, and assume an improvement of the disaster rate by 0 to 2.0 disasters per year.\n",
    "\n",
    "_**Note:** The following analysis consists of 23,400 individual model fits. It may take several minutes to complete. Some candidate break-point and slope combinations imply parameter values outside the grid; bayesloop assigns zero evidence to those invalid fits and prints only the first few boundary warnings._"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false,
    "execution": {
     "iopub.execute_input": "2026-04-27T19:15:31.863529Z",
     "iopub.status.busy": "2026-04-27T19:15:31.863454Z",
     "iopub.status.idle": "2026-04-27T19:16:46.347650Z",
     "shell.execute_reply": "2026-04-27T19:16:46.347255Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "+ Successfully imported example data.\n",
      "+ Transition model: Serial transition model. Hyper-Parameter(s): ['slope', 't_1', 't_2']\n",
      "+ Detected 2 break-point(s) in transition model: ['t_1', 't_2']\n",
      "+ Set hyper-prior(s): ['uniform', 'uniform', 'uniform']\n",
      "+ Started new fit.\n",
      "    + 23400 analyses to run.\n"
     ]
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "f10e214c7abd463a87cf84dac846fe02",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "  0%|          | 0/23400 [00:00<?, ?it/s]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "    ! WARNING: Posterior distribution contains only zeros, check parameter boundaries!\n",
      "      Stopping inference process. Setting model evidence to zero.\n",
      "    ! WARNING: Posterior distribution contains only zeros, check parameter boundaries!\n",
      "      Stopping inference process. Setting model evidence to zero.\n",
      "    ! WARNING: Posterior distribution contains only zeros, check parameter boundaries!\n",
      "      Stopping inference process. Setting model evidence to zero.\n",
      "    ! WARNING: Posterior distribution contains only zeros, check parameter boundaries!\n",
      "      Stopping inference process. Setting model evidence to zero.\n",
      "    ! WARNING: Posterior distribution contains only zeros, check parameter boundaries!\n",
      "      Stopping inference process. Setting model evidence to zero.\n",
      "    ! WARNING: Will omit further warnings about parameter boundaries.\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "    + Computed average posterior sequence\n",
      "    + Computed hyper-parameter distribution\n",
      "    + Log10-evidence of average model: -30.63974\n",
      "    + Computed local evidence of average model\n",
      "    + Computed mean parameter values.\n",
      "+ Finished fit.\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "S.load_example_data()\n",
    "\n",
    "mask = (S.raw_timestamps >= 1870)*(S.raw_timestamps <= 1910) # restrict analysis to 1870-1910\n",
    "S.raw_timestamps = S.raw_timestamps[mask]\n",
    "S.raw_data = S.raw_data[mask]\n",
    "\n",
    "T = bl.tm.SerialTransitionModel(bl.tm.Static(),\n",
    "                                bl.tm.BreakPoint('t_1', 'all'),\n",
    "                                bl.tm.Deterministic(lambda t, slope=np.linspace(-2.0, 0.0, 30): t*slope, \n",
    "                                                    target='accident_rate'),\n",
    "                                bl.tm.BreakPoint('t_2', 'all'),\n",
    "                                bl.tm.Static()\n",
    "                                )\n",
    "\n",
    "S.set(T)\n",
    "S.fit()\n",
    "\n",
    "S.get_joint_hyper_parameter_distribution(['t_1', 't_2'], plot=True, color=[0.1, 0.8, 0.1])\n",
    "plt.xlim([1869, 1911])\n",
    "plt.ylim([1869, 1911])\n",
    "\n",
    "# set proper view-point\n",
    "ax = plt.gca()\n",
    "ax.view_init(elev=35, azim=125)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Apart from this rather non-intuitive joint distribution of the two structural break times, we can also plot the marginal distribution of the inferred slope of the intermediate phase:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false,
    "execution": {
     "iopub.execute_input": "2026-04-27T19:16:46.348876Z",
     "iopub.status.busy": "2026-04-27T19:16:46.348776Z",
     "iopub.status.idle": "2026-04-27T19:16:46.391822Z",
     "shell.execute_reply": "2026-04-27T19:16:46.391368Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(8,4))\n",
    "S.plot('slope', color='g', alpha=.8)\n",
    "plt.xlim([-2.1, 0.1]);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The plot above indicates that the decrease of the disaster rate is indeed a gradual process, as high probabilities are assigned to rather small slopes with an absolute value < 0.5. However, there is still a significant probability of slopes with an absolute value that is larger than 0.5:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": false,
    "execution": {
     "iopub.execute_input": "2026-04-27T19:16:46.392947Z",
     "iopub.status.busy": "2026-04-27T19:16:46.392872Z",
     "iopub.status.idle": "2026-04-27T19:16:46.394922Z",
     "shell.execute_reply": "2026-04-27T19:16:46.394478Z"
    }
   },
   "outputs": [],
   "source": [
    "x, p = S.get_hyper_parameter_distribution('slope')\n",
    "np.sum(p[np.abs(x) > 0.5]);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "More intuitive than the slope is the duration between the two structural breaks. This period of time directly measures the time it takes for the disaster rate to decrease from three to one disaster per year. The plot below shows the distribution for this period of time:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": false,
    "execution": {
     "iopub.execute_input": "2026-04-27T19:16:46.395978Z",
     "iopub.status.busy": "2026-04-27T19:16:46.395901Z",
     "iopub.status.idle": "2026-04-27T19:16:46.527472Z",
     "shell.execute_reply": "2026-04-27T19:16:46.527023Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(8,4))\n",
    "d, p = S.get_duration_distribution(['t_1', 't_2'], plot=True, color='g', alpha=.8)\n",
    "plt.xlim([-0.5, 40.5]);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "From this plot, we see that the period between the two structural breaks cannot be inferred with great accuracy. The accuracy may be improved by extending the simple serial model used in this example or by incorporating more data points (only 40 data points have been used here). We may still conclude that this analysis indicates an intermediate phase of improvement that is shorter than 15 years, with a probability of $\\approx 70\\%$:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": false,
    "execution": {
     "iopub.execute_input": "2026-04-27T19:16:46.528533Z",
     "iopub.status.busy": "2026-04-27T19:16:46.528456Z",
     "iopub.status.idle": "2026-04-27T19:16:46.530700Z",
     "shell.execute_reply": "2026-04-27T19:16:46.530349Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "np.float64(0.7152847684469197)"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.sum(p[np.abs(d) < 15])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The results from the break-point analysis are further illustrated by the temporal evolution of the inferred disaster rate. Below, the average model of the complete analysis is used to display the inferred changes in the disaster rate:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "collapsed": false,
    "execution": {
     "iopub.execute_input": "2026-04-27T19:16:46.531698Z",
     "iopub.status.busy": "2026-04-27T19:16:46.531621Z",
     "iopub.status.idle": "2026-04-27T19:16:46.609425Z",
     "shell.execute_reply": "2026-04-27T19:16:46.608966Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 800x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(8, 4))\n",
    "plt.bar(S.raw_timestamps, S.raw_data, align='center', facecolor='r', alpha=.5)\n",
    "S.plot('accident_rate')\n",
    "plt.xlim([1870, 1910])\n",
    "plt.xlabel('year');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Finally, we want to stress the difference between change-points and break-points again: If the `BreakPoint` transition model is used within the `SerialTransitionModel` class, different transition models will be specified before and after the break-point, but the parameter values will not be *reset* at the break-point. In contrast, the `ChangePoint` transition model can also be used in a `SerialTransitionModel` (not shown in this tutorial). In addition to the different parameter dynamics before and after the change-point, this case allows for an abrupt change of the parameter values. Finally, if the `ChangePoint` model is used *without* a `SerialTransitionModel`, the parameter dynamics will stay the same before and after the change-point, but an abrupt change of the parameter values is expected."
   ]
  }
 ],
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