PyChEst: a Python package for the consistent retrospective estimation of
distributional changes in piece-wise stationary time series
- URL: http://arxiv.org/abs/2112.10565v1
- Date: Mon, 20 Dec 2021 14:39:39 GMT
- Title: PyChEst: a Python package for the consistent retrospective estimation of
distributional changes in piece-wise stationary time series
- Authors: Azadeh Khaleghi and Lukas Zierahn
- Abstract summary: We introduce PyChEst, a Python package which provides tools for the simultaneous estimation of multiple changepoints in the distribution of piece-wise stationary time series.
Nonparametric algorithms implemented are provably consistent in a general framework.
We illustrate this distinguishing feature by comparing the performance of the package against state-of-the-art models designed for a setting where the samples are independently and identically distributed.
- Score: 2.398608007786179
- License: http://creativecommons.org/licenses/by-nc-sa/4.0/
- Abstract: We introduce PyChEst, a Python package which provides tools for the
simultaneous estimation of multiple changepoints in the distribution of
piece-wise stationary time series. The nonparametric algorithms implemented are
provably consistent in a general framework: when the samples are generated by
unknown piece-wise stationary processes. In this setting, samples may have
long-range dependencies of arbitrary form and the finite-dimensional marginals
of any (unknown) fixed size before and after the changepoints may be the same.
The strength of the algorithms included in the package is in their ability to
consistently detect the changes without imposing any assumptions beyond
stationarity on the underlying process distributions. We illustrate this
distinguishing feature by comparing the performance of the package against
state-of-the-art models designed for a setting where the samples are
independently and identically distributed.
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