Abstract
Inferential results for progressive hybrid and adaptive progressive Type-II censored data are shown. A special focus is given to one- and two-parameter exponential distributions.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Amin ZH (2008a) Bayesian inference for the Pareto lifetime model under progressive censoring with binomial removals. J Appl Stat 35:1203–1217
Balakrishnan N, Iliopoulos G (2009) Stochastic monotonicity of the MLE of exponential mean under different censoring schemes. Ann Inst Stat Math 61:753–772
Balakrishnan N, Kundu D (2013) Hybrid censoring: models, inferential results and applications (with discussions). Comput Stat Data Anal 57:166–209
Balakrishnan N, Varadan J (1991) Approximate MLEs for the location and scale parameters of the extreme value distribution with censoring. IEEE Trans Reliab 40:146–151
Balakrishnan N, Kannan N, Lin CT, Wu SJS (2004a) Inference for the extreme value distribution under progressive Type-II censoring. J Stat Comput Simul 74:25–45
Balakrishnan N, Cramer E, Iliopoulos G (2014) On the method of pivoting the CDF for exact confidence intervals with illustration for exponential mean under life-test with time constraints. Stat Probab Lett 89:124–130
Barlow RE, Madansky A, Proschan F, Scheuer EM (1968) Statistical estimation procedures for the ‘burn-in’ process. Technometrics 10:51–62
Bobotas P, Kourouklis S (2011) Improved estimation of the scale parameter, the hazard rate parameter and the ratio of the scale parameters in exponential distributions: an integrated approach. J Stat Plan Infer 141:2399–2416
Casella G, Berger RL (2002) Statistical inference, 2nd edn. Duxbury Press, Pacific Grove
Chen SM, Bhattacharyya GK (1988) Exact confidence bounds for an exponential parameter under hybrid censoring. Comm Stat Theory Meth 16:2429–2442
Childs A, Chandrasekar B, Balakrishnan N, Kundu D (2003) Exact likelihood inference based on Type-I and Type-II hybrid censored samples from the exponential distribution. Ann Inst Stat Math 55:319–330
Childs A, Chandrasekar B, Balakrishnan N (2008) Exact likelihood inference for an exponential parameter under progressive hybrid censoring schemes. In: Vonta F, Nikulin M, Limnios N, Huber-Carol C (eds) Statistical models and methods for biomedical and technical systems. Birkhäuser, Boston, pp 323–334
Childs A, Balakrishnan N, Chandrasekar B (2012) Exact distribution of the MLEs of the parameters and of the quantiles of two-parameter exponential distribution under hybrid censoring. Statistics 46:441–458
Cramer E, Balakrishnan N (2013) On some exact distributional results based on Type-I progressively hybrid censored data from exponential distributions. Stat Meth 10:128–150
Cramer E, Iliopoulos G (2010) Adaptive progressive Type-II censoring. TEST 19:342–358
Cramer E, Burkschat M, Górny J (2014) On some exact distributional results based on Type-II progressively hybrid censored data from exponential distributions (submitted)
Epstein B (1954) Truncated life tests in the exponential case. Ann Math Stat 25:555–564
Ganguly A, Mitra S, Samanta D, Kundu D (2012) Exact inference for the two-parameter exponential distribution under Type-II hybrid censoring. J Stat Plan Infer 142:613–625
Hemmati F, Khorram E (2013) Statistical analysis of the log-normal distribution under Type-II progressive hybrid censoring schemes. Comm Stat Simul Comput 42:52–75
Joarder A, Krishna H, Kundu D (2009) On Type-II progressive hybrid censoring. J Mod Appl Stat Meth 8:534–546
Kamps U, Cramer E (2001) On distributions of generalized order statistics. Statistics 35:269–280
Kundu D, Joarder A (2006a) Analysis of Type-II progressively hybrid censored competing risks data. J Mod Appl Stat Meth 5:152–170
Kundu D, Joarder A (2006b) Analysis of Type-II progressively hybrid censored data. Comput Stat Data Anal 50:2509–2528
Kundu D, Samanta D, Ganguly A, Mitra S (2013) Bayesian analysis of different hybrid and progressive life tests. Comm Stat Simul Comput 42:2160–2173
Lin CT, Huang YL (2012) On progressive hybrid censored exponential distribution. J Stat Comput Simul 82:689–709
Lin CT, Ng HKT, Chan PS (2009b) Statistical inference of Type-II progressively hybrid censored data with Weibull lifetimes. Comm Stat Theory Meth 38:1710–1729
Lin CT, Chou CC, Huang YL (2012) Inference for the Weibull distribution with progressive hybrid censoring. Comput Stat Data Anal 56:451–467
MIL-STD-781-C (1977) Reliability design qualification and production acceptance tests: exponential distribution. U.S. Government Printing Office, Washington
Mokhtari EB, Rad AH, Yousefzadeh F (2011) Inference for Weibull distribution based on progressively Type-II hybrid censored data. J Stat Plan Infer 141:2824–2838
Ng HKT, Kundu D, Chan PS (2009) Statistical analysis of exponential lifetimes under an adaptive Type-II progressive censoring scheme. Naval Res Logist 56:687–698
Sarhan AM, Al-Ruzaizaa A (2010) Statistical inference in connection with the Weibull model using Type-II progressively censored data with random scheme. Pakistan J Stat 26:267–279
Tomer SK, Panwar MS (2014) Estimation procedures for Maxwell distribution under type-I progressive hybrid censoring scheme. J Stat Comput Simul (to appear)
Tse SK, Xiang L (2003) Interval estimation for Weibull-distributed life data under Type II progressive censoring with random removals. J Biopharm Stat 13:1–16
Tse SK, Yang C (2003) Reliability sampling plans for the Weibull distribution under Type II progressive censoring with binomial removals. J Appl Stat 30:709–718
Tse SK, Yuen HK (1998) Expected experiment times for the Weibull distribution under progressive censoring with random removals. J Appl Stat 25:75–83
Tse SK, Yang C, Yuen HK (2000) Statistical analysis of Weibull distributed lifetime data under Type II progressive censoring with binomial removals. J Appl Stat 27:1033–1043
Wu SJ (2003) Estimation for the two-parameter Pareto distribution under progressive censoring with uniform removals. J Stat Comput Simul 73:125–134
Wu SJ, Chang CT (2002) Parameter estimations based on exponential progressive type II censored data with binomial removals. Int J Inform Manag Sci 13:37–46
Wu CC, Wu SF, Chan HY (2006b) MLE and the estimated expected test time for the two-parameter Gompertz distribution under progressive censoring with binomial removals. Appl Math Comput 181:1657–1670
Wu SJ, Chen YJ, Chang CT (2007b) Statistical inference based on progressively censored samples with random removals from the Burr type XII distribution. J Stat Comput Simul 77:19–27
Yuen HK, Tse SK (1996) Parameters estimation for Weibull distributed lifetimes under progressive censoring with random removals. J Stat Comput Simul 55:57–71
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2014 Springer Science+Business Media New York
About this chapter
Cite this chapter
Balakrishnan, N., Cramer, E. (2014). Progressive Hybrid and Adaptive Censoring and Related Inference. In: The Art of Progressive Censoring. Statistics for Industry and Technology. Birkhäuser, New York, NY. https://doi.org/10.1007/978-0-8176-4807-7_14
Download citation
DOI: https://doi.org/10.1007/978-0-8176-4807-7_14
Published:
Publisher Name: Birkhäuser, New York, NY
Print ISBN: 978-0-8176-4806-0
Online ISBN: 978-0-8176-4807-7
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)