IDEAS home Printed from https://ideas.repec.org/a/eee/stapro/v125y2017icp130-140.html
   My bibliography  Save this article

Modified information approach for detecting change points in piecewise linear failure rate function

Author

Listed:
  • Cai, Xia
  • Tian, Yubin
  • Ning, Wei

Abstract

The procedure based on the modified information criterion is proposed to detect the change points in the piecewise linear failure rate function. Consistency of the test is established and the asymptotic null distribution of the test statistic is also derived as the standard chi-square distribution. The performance of the test statistic is studied through the simulations. The proposed method is applied to a real example to illustrate the detecting procedure.

Suggested Citation

  • Cai, Xia & Tian, Yubin & Ning, Wei, 2017. "Modified information approach for detecting change points in piecewise linear failure rate function," Statistics & Probability Letters, Elsevier, vol. 125(C), pages 130-140.
    • Handle: RePEc:eee:stapro:v:125:y:2017:i:c:p:130-140
    DOI: 10.1016/j.spl.2017.02.005
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0167715217300548
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.spl.2017.02.005?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Xia Cai & Khamis Khalid Said & Wei Ning, 2016. "Change-point analysis with bathtub shape for the exponential distribution," Journal of Applied Statistics, Taylor & Francis Journals, vol. 43(15), pages 2740-2750, November.
    2. Perron, Pierre & Vogelsang, Timothy J, 1992. "Testing for a Unit Root in a Time Series with a Changing Mean: Corrections and Extensions," Journal of Business & Economic Statistics, American Statistical Association, vol. 10(4), pages 467-470, October.
    3. Melody S. Goodman & Yi Li & Ram C. Tiwari, 2011. "Detecting multiple change points in piecewise constant hazard functions," Journal of Applied Statistics, Taylor & Francis Journals, vol. 38(11), pages 2523-2532, January.
    4. S. Zacks, 1984. "Estimating the Shift to Wear-Out of Systems Having Exponential-Weibull Life Distributions," Operations Research, INFORMS, vol. 32(3), pages 741-749, June.
    5. Pan, Jianmin & Chen, Jiahua, 2006. "Application of modified information criterion to multiple change point problems," Journal of Multivariate Analysis, Elsevier, vol. 97(10), pages 2221-2241, November.
    6. Wu, C. Q. & Zhao, L. C. & Wu, Y. H., 2003. "Estimation in change-point hazard function models," Statistics & Probability Letters, Elsevier, vol. 63(1), pages 41-48, May.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Martín Leandro Dutto Giolongo & Emiliano A. Carlevaro & Juan Jullier & Marcos Narváez, 2020. "Board-related corporate governance practices and performance of Argentine banks," Asociación Argentina de Economía Política: Working Papers 4340, Asociación Argentina de Economía Política.
    2. Bosker, Maarten & Brakman, Steven & Garretsen, Harry & Schramm, Marc, 2008. "A century of shocks: The evolution of the German city size distribution 1925-1999," Regional Science and Urban Economics, Elsevier, vol. 38(4), pages 330-347, July.
    3. Mariam Camarero & Juan Sapena & Cecilio Tamarit, 2020. "Modelling Time-Varying Parameters in Panel Data State-Space Frameworks: An Application to the Feldstein–Horioka Puzzle," Computational Economics, Springer;Society for Computational Economics, vol. 56(1), pages 87-114, June.
    4. Schroeder, Anna Louise & Fryzlewicz, Piotr, 2013. "Adaptive trend estimation in financial time series via multiscale change-point-induced basis recovery," LSE Research Online Documents on Economics 54934, London School of Economics and Political Science, LSE Library.
    5. Vicente Esteve & Manuel Navarro-Ibáñez & María A. Prats, 2013. "The present value model of US stock prices revisited: long-run evidence with structural breaks, 1871-2010," Working Papers 04/13, Instituto Universitario de Análisis Económico y Social.
    6. Irvin Tucker, 2004. "Pigskins and publications revisited," Applied Economics Letters, Taylor & Francis Journals, vol. 11(13), pages 843-845.
    7. GREKOU Gahié Lopez, 2021. "Hypothesis of Twin Deficits in Cote d’Ivoire: The Nonlinear Effect Analysis with a Smooth Transition Autoregression Model (STAR)," Applied Economics and Finance, Redfame publishing, vol. 8(1), pages 59-73, January.
    8. Haldrup, Niels & Montanes, Antonio & Sanso, Andreu, 2005. "Measurement errors and outliers in seasonal unit root testing," Journal of Econometrics, Elsevier, vol. 127(1), pages 103-128, July.
    9. Mei Li & Wei Ning & Yubin Tian, 2024. "Change Point Test for Length-Biased Lognormal Distribution under Random Right Censoring," Mathematics, MDPI, vol. 12(11), pages 1-20, June.
    10. Claude Lopez & Javier Reyes, 2009. "Stationary properties of the real interest rate and the per-capita consumption growth rate: empirical evidence for theoretical arguments," Applied Economics, Taylor & Francis Journals, vol. 41(13), pages 1643-1651.
    11. Vicente Esteve, 2004. "Política fiscal y productividad del trabajo en la economía española: un análisis de series temporales," Revista de Analisis Economico – Economic Analysis Review, Universidad Alberto Hurtado/School of Economics and Business, vol. 19(1), pages 3-29, June.
    12. Congregado, Emilio & Garcia-Clemente, Javier & Rubino, Nicola & Vilchez, Inmaculada, 2023. "Testing hysteresis for the US and UK involuntary part-time employment," MPRA Paper 118115, University Library of Munich, Germany.
    13. Mark C. Strazicich & Peter A. Groothuis & Tiberiu S.V. Ungureanu, 2024. "A Rising Tide Raises all Boats: The changing distribution of salaries in the NBA over time," Working Papers 24-20, Department of Economics, Appalachian State University.
    14. Kazuhiro Ohtani, 2004. "Exact distribution and critical values of a unit root test in the presence of change in variance," Applied Economics Letters, Taylor & Francis Journals, vol. 11(14), pages 855-860.
    15. Matteo Lanzafame, 2010. "The nature of regional unemployment in Italy," Empirical Economics, Springer, vol. 39(3), pages 877-895, December.
    16. Justus Haucap, Ulrich Heimeshoff, and Dragan Jovanovic, 2014. "Competition in Germany's Minute Reserve Power Market: An Econometric Analysis," The Energy Journal, International Association for Energy Economics, vol. 0(Number 2).
    17. Adeel Saleem & Ghulam Sarwar & Jahanzaib Sultan & Zulfiqar Ali, 2022. "Determinants of Public Healthcare Investment: Cointegration and Causality Evidence from Pakistan," Journal of Economic Impact, Science Impact Publishers, vol. 4(2), pages 01-13.
    18. Vicente Esteve & Simon Sosvilla-Rivero & Cecilio Tamarit, 2000. "Convergence in fiscal pressure across EU countries," Applied Economics Letters, Taylor & Francis Journals, vol. 7(2), pages 117-123.
    19. Muhammad Shahbaz & Nanthakumar Loganathan & Aviral Tiwari & Reza Sherafatian-Jahromi, 2015. "Financial Development and Income Inequality: Is There Any Financial Kuznets Curve in Iran?," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 124(2), pages 357-382, November.
    20. Barros, Geraldo Sant’Ana de Camargo & Carrara, Aniela Fagundes & Castro, Nicole Rennó & Silva, Adriana Ferreira, 2022. "Agriculture and inflation: Expected and unexpected shocks," The Quarterly Review of Economics and Finance, Elsevier, vol. 83(C), pages 178-188.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:stapro:v:125:y:2017:i:c:p:130-140. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/wps/find/journaldescription.cws_home/622892/description#description .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.