## Abstract Change points detection in time series is an important area of research in statistics, has a long history and has many applications. However, very often change point analysis is only focused on the changes in the mean value of some quantity in a process. In this work we consider time se
A Bayesian approach to detecting change points in climatic records
β Scribed by Eric Ruggieri
- Publisher
- John Wiley and Sons
- Year
- 2012
- Tongue
- English
- Weight
- 267 KB
- Volume
- 33
- Category
- Article
- ISSN
- 0899-8418
- DOI
- 10.1002/joc.3447
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β¦ Synopsis
Abstract
Given distinct climatic periods in the various facets of the Earth's climate system, many attempts have been made to determine the exact timing of βchange pointsβ or regime boundaries. However, identification of change points is not always a simple task. A time series containing N data points has approximately N^k^ distinct placements of k change points, rendering brute force enumeration futile as the length of the time series increases. Moreover, how certain are we that any one placement of change points is superior to the rest? This paper introduces a Bayesian Change Point algorithm which provides uncertainty estimates both in the number and location of change points through an efficient probabilistic solution to the multiple change point problem. To illustrate its versatility, the Bayesian Change Point algorithm is used to analyse both the NOAA/NCDC annual global surface temperature anomalies time series and the much longer Ξ΄^18^O record of the PlioβPleistocene. Copyright Β© 2012 Royal Meteorological Society
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