IDEAS home Printed from https://ideas.repec.org/a/eee/stapro/v125y2017icp130-140.html

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

    for a different version of it.

    References listed on IDEAS

    as
    1. 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.
    2. 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.
    3. 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.
    4. 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.
    5. 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.
    6. 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.
    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. Matteo Mogliani, 2010. "Residual-based tests for cointegration and multiple deterministic structural breaks: A Monte Carlo study," Working Papers halshs-00564897, HAL.
    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. Perron, Pierre & Wada, Tatsuma, 2016. "Measuring business cycles with structural breaks and outliers: Applications to international data," Research in Economics, Elsevier, vol. 70(2), pages 281-303.
    5. 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.
    6. 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.
    7. GwanSeon Kim & Tyler Mark, 2017. "Impacts of corn price and imported beef price on domestic beef price in South Korea," Agricultural and Food Economics, Springer;Italian Society of Agricultural Economics (SIDEA), vol. 5(1), pages 1-13, December.
    8. Steenkamp, J-B.E.M. & Nijs, V.R. & Hanssens, D.M. & Dekimpe, M.G., 2002. "Competitive Reactions and the Cross-Sales Effects of Advertising and Promotion," ERIM Report Series Research in Management ERS-2002-20-MKT, Erasmus Research Institute of Management (ERIM), ERIM is the joint research institute of the Rotterdam School of Management, Erasmus University and the Erasmus School of Economics (ESE) at Erasmus University Rotterdam.
    9. Pierre Perron & Yohei Yamamoto, 2022. "Structural change tests under heteroskedasticity: Joint estimation versus two‐steps methods," Journal of Time Series Analysis, Wiley Blackwell, vol. 43(3), pages 389-411, May.
    10. Edward Ghartey, 2006. "Exchange Pressure, Sterilized Intervention and Monetary Policy in Ghana," EcoMod2006 272100031, EcoMod.
    11. Jinho Bae & Chang-Jin Kim & Dong Kim, 2012. "The evolution of the monetary policy regimes in the U.S," Empirical Economics, Springer, vol. 43(2), pages 617-649, October.
    12. Themba G. Chirwa & Nicholas M. Odhiambo, 2016. "What Drives Long-Run Economic Growth? Empirical Evidence from South Africa," Economia Internazionale / International Economics, Camera di Commercio Industria Artigianato Agricoltura di Genova, vol. 69(4), pages 429-456.
    13. Bill Russell & Dooruj Rambaccussing, 2019. "Breaks and the statistical process of inflation: the case of estimating the ‘modern’ long-run Phillips curve," Empirical Economics, Springer, vol. 56(5), pages 1455-1475, May.
    14. Irvin Tucker, 2004. "Pigskins and publications revisited," Applied Economics Letters, Taylor & Francis Journals, vol. 11(13), pages 843-845.
    15. Lisa Cook, 2014. "Violence and economic activity: evidence from African American patents, 1870–1940," Journal of Economic Growth, Springer, vol. 19(2), pages 221-257, June.
    16. International Monetary Fund, 2006. "Portugal: Selected Issues," IMF Staff Country Reports 2006/386, International Monetary Fund.
    17. Pierre Perron & Zhongjun Qu, 2007. "An Analytical Evaluation of the Log-periodogram Estimate in the Presence of Level Shifts," Boston University - Department of Economics - Working Papers Series wp2007-044, Boston University - Department of Economics.
    18. 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.
    19. Kleopatra Nikolaou, 2007. "The behaviour of the real exchange rate: Evidence from regression quantiles," Money Macro and Finance (MMF) Research Group Conference 2006 46, Money Macro and Finance Research Group.
    20. Muhammad Shahbaz & Pervaz Azim & Khalil Ahmad, 2011. "Exports-Led Growth Hypothesis in Pakistan: Further Evidence," Asian Economic and Financial Review, Asian Economic and Social Society, vol. 1(3), pages 182-197.

    More about this item

    Keywords

    ;
    ;
    ;
    ;

    Statistics

    Access and download statistics

    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.