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bcp: An R Package for Performing a Bayesian Analysis of Change Point Problems

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  • Erdman, Chandra
  • Emerson, John W.

Abstract

Barry and Hartigan (1993) propose a Bayesian analysis for change point problems. We provide a brief summary of selected work on change point problems, both preceding and following Barry and Hartigan. We outline Barry and Hartigan's approach and offer a new R package, bcp (Erdman and Emerson 2007), implementing their analysis. We discuss two frequentist alternatives to the Bayesian analysis, the recursive circular binary segmentation algorithm (Olshen and Venkatraman 2004) and the dynamic programming algorithm of (Bai and Perron 2003). We illustrate the application of bcp with economic and microarray data from the literature.

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  • Erdman, Chandra & Emerson, John W., 2007. "bcp: An R Package for Performing a Bayesian Analysis of Change Point Problems," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 23(i03).
    • Handle: RePEc:jss:jstsof:v:023:i03
    DOI: http://hdl.handle.net/10.18637/jss.v023.i03
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    1. Zeileis, Achim & Leisch, Friedrich & Hornik, Kurt & Kleiber, Christian, 2002. "strucchange: An R Package for Testing for Structural Change in Linear Regression Models," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 7(i02).
    2. Zeileis, Achim & Kleiber, Christian & Kramer, Walter & Hornik, Kurt, 2003. "Testing and dating of structural changes in practice," Computational Statistics & Data Analysis, Elsevier, vol. 44(1-2), pages 109-123, October.
    3. Loschi, R.H. & Cruz, F.R.B., 2005. "Extension to the product partition model: computing the probability of a change," Computational Statistics & Data Analysis, Elsevier, vol. 48(2), pages 255-268, February.
    4. Garcia, Rene & Perron, Pierre, 1996. "An Analysis of the Real Interest Rate under Regime Shifts," The Review of Economics and Statistics, MIT Press, vol. 78(1), pages 111-125, February.
    5. Jushan Bai & Pierre Perron, 2003. "Computation and analysis of multiple structural change models," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 18(1), pages 1-22.
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    7. Sonali Das & Rangan Gupta & Patrick Kanda & Monique Reid & Christian Tipoy & Mulatu Zerihun, 2014. "Real interest rate persistence in South Africa: evidence and implications," Economic Change and Restructuring, Springer, vol. 47(1), pages 41-62, February.
    8. Charakopoulos, Avraam & Karakasidis, Theodoros, 2022. "Backward Degree a new index for online and offline change point detection based on complex network analysis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 604(C).
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    10. Stein Olav Skrøvseth & Johan Gustav Bellika & Fred Godtliebsen, 2012. "Causality in Scale Space as an Approach to Change Detection," PLOS ONE, Public Library of Science, vol. 7(12), pages 1-14, December.
    11. Gao Wang & Abhishek Sarkar & Peter Carbonetto & Matthew Stephens, 2020. "A simple new approach to variable selection in regression, with application to genetic fine mapping," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 82(5), pages 1273-1300, December.
    12. Lindeløv, Jonas Kristoffer, 2020. "mcp: An R Package for Regression With Multiple Change Points," OSF Preprints fzqxv, Center for Open Science.
    13. Hinoveanu, Laurentiu C. & Leisen, Fabrizio & Villa, Cristiano, 2019. "Bayesian loss-based approach to change point analysis," Computational Statistics & Data Analysis, Elsevier, vol. 129(C), pages 61-78.
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    15. Ricardo C. Pedroso & Rosangela H. Loschi & Fernando Andrés Quintana, 2023. "Multipartition model for multiple change point identification," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 32(2), pages 759-783, June.
    16. Bian, Zilin & Zuo, Fan & Gao, Jingqin & Chen, Yanyan & Pavuluri Venkata, Sai Sarath Chandra & Duran Bernardes, Suzana & Ozbay, Kaan & Ban, Xuegang (Jeff) & Wang, Jingxing, 2021. "Time lag effects of COVID-19 policies on transportation systems: A comparative study of New York City and Seattle," Transportation Research Part A: Policy and Practice, Elsevier, vol. 145(C), pages 269-283.
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    18. Nora M. Villanueva & Marta Sestelo & Miguel M. Fonseca & Javier Roca-Pardiñas, 2023. "seq2R: An R Package to Detect Change Points in DNA Sequences," Mathematics, MDPI, vol. 11(10), pages 1-20, May.
    19. Aijing Zhang & Chi Zhang & Guobin Fu & Bende Wang & Zhenxin Bao & Hongxing Zheng, 2012. "Assessments of Impacts of Climate Change and Human Activities on Runoff with SWAT for the Huifa River Basin, Northeast China," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 26(8), pages 2199-2217, June.
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