Abstract
Results for counting and quantile processes based on progressively Type-II censored data are presented.
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References
Alvarez-Andrade S, Bordes L (2004) Empirical quantile process under type-II progressive censoring. Stat Probab Lett 68:111–123
Alvarez-Andrade S, Bordes L (2008) Type-II progressive censoring and related processes. Rev Roumaine Math Pures Appl 63:267–276
Alvarez-Andrade S, Balakrishnan N, Bordes L (2007) Homogeneity tests based on several progressively Type-II censored samples. J Multivariate Anal 98:1195–1213
Alvarez-Andrade S, Balakrishnan N, Bordes L (2009) Proportional hazards regression under progressive Type-II censoring. Ann Inst Stat Math 61:887–903
Andersen PK, Borgan Ø, Gill RD, Keiding N (1993) Statistical models based on counting processes. Springer, New York
Balakrishnan N, Bordes L (2004) Non-parametric hazard rate estimation under progressive Type-II censoring. In: Balakrishnan N, Rao CR (eds) Advances in survival analysis. Handbook of statistics, vol 23. Elsevier, Amsterdam, pp 227–249
Balakrishnan N, Bordes L, Zhao X (2010c) Minimum-distance parametric estimation under progressive Type-I censoring. IEEE Trans Reliab 59:413–425
Bordes L (2004) Non-parametric estimation under progressive censoring. J Stat Plan Infer 119:171–189
Burke M (2011) Nonparametric estimation of a survival function under progressive Type-I multistage censoring. J Stat Plan Infer 141:910–923
Fleming TR, Harrington DP (2005) Counting processes and survival analysis. Wiley, New York
Pollard D (1984) Convergence of stochastic processes. Springer, New York
Viveros R, Balakrishnan N (1994) Interval estimation of parameters of life from progressively censored data. Technometrics 36:84–91
Watson GS, Leadbetter MR (1964a) Hazard analysis. I. Biometrika 51:175–184
Watson GS, Leadbetter MR (1964b) Hazard analysis II. Sankhyā Ser A 26:101–116
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Balakrishnan, N., Cramer, E. (2014). Counting and Quantile Processes and Progressive Censoring. 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_20
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DOI: https://doi.org/10.1007/978-0-8176-4807-7_20
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