ESTIMATION OF CHANGE POINTS IN HAZARD RATES
Keywords:
hazard rate, life table, segmented regression, quadratic hazard rate model.DOI:
https://doi.org/10.17654/0972361722028Abstract
Class of distributions that arise naturally in the human mortality study and reliability situations is characterized by “bathtub shaped” failure rate functions. In this study, the life table of different populations is considered and studied. Hazard rate at various ages of human life cycle and change points of hazard rate are estimated by quadratic hazard rate model using mortality index of life tables for populations under consideration. It is noted that some of the considered high-income category countries (have only one breakpoint in hazard curve) possess a single breakpoint whereas some of the countries fitted with two breakpoints, which are because of high infant mortality rates.
Received: December 18, 2021
Accepted: March 2, 2022
References
L. J. Bain, Analysis for the linear failure-rate life-testing distribution, Technometrics 16(4) (1974), 551-559.
M. Bebbington, C. D. Lai and R. Zitikis, Modeling human mortality using mixtures of bathtub shaped failure distributions, Journal of Theoretical Biology 245(3) (2007), 528-538.
M. J. Crowder, A. C. Kimber, R. L. Smith and T. J. Sweeting, Statistical Analysis of Reliability Data, Routledge, New York, 2017.
M. S. Goodman, Y. Li and R. C. Tiwari, Detecting multiple change points in piecewise constant hazard functions, Journal of Applied Statistics 38(11) (2011), 2523-2532.
A. P. Gore, S. Paranjape, M. B. Rajarshi and M. Gadgil, Some methods for summarizing survivorship data in nonstandard situations, Biometrical Journal 28(5) (1986), 577-586.
S. Joshi, K. K. Jose and D. Bhati, Estimation of a change point in the hazard rate of Lindley model under right censoring, Communications in Statistics-Simulation and Computation 46(5) (2017), 3563-3574.
C. D. Lai, M. Xie and D. N. P. Murthy, Chapter 3, Bathtub-shaped failure rate life distributions, Handbook of Statistics 20 (2001), 69-104.
J. F. Lawless, Statistical methods in reliability, Technometrics 25(4) (1983), 305-316.
D. E. Matthews, V. T. Farewell and R. Pyke, Asymptotic score-statistic processes and tests for constant hazard against a change-point alternative, The Annals of Statistics (1985), 583-591.
V. M. Muggeo, Estimating regression models with unknown break-points, Statistics in Medicine 22(19) (2003), 3055-3071.
V. M. R. Muggeo, Segmented: An R package to fit regression models with broken line relationships, Rnews 8 (2008), 20-25.
K. B. Kulasekera and K. M. Lal Saxena, Estimation of change point in failure rate models, Journal of Statistical Planning and Inference 29(1-2) (1991), 111-124.
H. T. Nguyen, G. S. Rogers and E. A. Walker, Estimation in change point hazard rate models, Biometrika 71(2) (1984), 299-304.
S. Paranjape, M. B. Rajarshi and A. P. Gore, On a model for hazard rates, Biom. J. 27 (1985), 913-917.
J. E. Pinder III, J. G. Wiener and M. H. Smith, The Weibull distribution: a new method of summarizing survivorship data, Ecology 59(1) (1978), 175-179.
S. Rajarshi and M. B. Rajarshi, Bathtub distributions: A review, Communications in Statistics-Theory and Methods 17(8) (1988), 2597-2621.
K. S. Wang, F. S. Hsu and P. P. Liu, Modeling the bathtub shape hazard rate function in terms of reliability, Reliability Engineering and System Safety 75(3) (2002), 397-406.
World Health Organization, Global Health Estimates Technical Paper WHO, Geneva: HIS/GHE/2013.4. WHO, 2013, pp. 2000-2011.
Downloads
Published
Issue
Section
License
Copyright (c) 2022 Pushpa Publishing House, Prayagraj, India

This work is licensed under a Creative Commons Attribution 4.0 International License.
____________________________
Attribution: Credit Pushpa Publishing House as the original publisher, including title and author(s) if applicable.
No Derivatives: Modifying or creating derivative works not allowed without written permission.
Contact Pushpa Publishing House for more info or permissions.
Journal Impact Factor: 