On properties of progressively Type-II censored conditionally N-ordered statistics arising from a non-identical and dependent random vector

References

• Joe H. Multivariate models and dependence concepts. London: Chapman & Hall; 1997.
   Google Scholar
• Müller A, Scarsini M. Archimedean copula and positive dependence. J Mult Anal. 2005;28:1–12.
   Google Scholar
• Fermanian J-D, Radulovic D, Wegkamp M. Weak convergence of empirical copula processes. Bernoulli. 2004;10(5):847–860. doi: 10.3150/bj/1099579158
   Web of Science ®Google Scholar
• McNeil AJ, Nèslehovà J. Multivariate Archimedean copulas, d-monotone functions and L1-norm symmetric distributions. Ann Stat. 2009;37:3059–3097. doi: 10.1214/07-AOS556
   Web of Science ®Google Scholar
• Nelsen RB. An introduction to copulas. New York: Springer; 2006.
   Google Scholar
• Rezapour M, Alamatsaz MH, Pellerey F. Multivariate aging with Archimedean dependence structures in high dimensions. Commun Statist – Theory Methods. 2013;42:2185–2199. doi: 10.1080/03610926.2011.606484
   Web of Science ®Google Scholar
• Rezapour M, Salehi E, Alamatsaz MH. Stochastic comparison of residual and past lifetimes of (n−k+1)-out-of-n systems with dependent components. Commun Statist – Theory Methods. 2013;42:2056–2070. doi: 10.1080/03610926.2011.602493
   Web of Science ®Google Scholar
• Hofert M, Pham D. Densities of nested Archimedean copulas. J Mult Anal. 2013;118:37–52. doi: 10.1016/j.jmva.2013.03.006
   Web of Science ®Google Scholar
• Rezapour M. On the construction of nested Archimedean copulas for d-monotone generators. Stat Probab Lett. 2015; (to apear).
   Web of Science ®Google Scholar
• Bairamov I. Progressive Type II censored order statistics for multivariate observations. J Mult Anal. 2006;97:797–809. doi: 10.1016/j.jmva.2005.05.002
   Web of Science ®Google Scholar
• Balakrishnan N. Progressive censoring methodology: an appraisal (with Discussions). Test. 2007;16:211–296. doi: 10.1007/s11749-007-0061-y
   Web of Science ®Google Scholar
• Balakrishnan N, Aggarwala R. Progressive censoring: theory, methods, and applications. Birkhäuser: Boston, MA; 2000.
   Google Scholar
• Balakrishnan N, Cramer E, Kamps U, Schenk N. Progressive Type-II censored order statistics from exponential distributions. Statistics. 2001;35:537–556. doi: 10.1080/02331880108802753
   Web of Science ®Google Scholar
• Balakrishnan N, Sandhu RA. A simple simulation algorithm for generating progressive type-II censored samples. Amer Statist. 1995;49:229–230.
   Web of Science ®Google Scholar
• Balakrishnan N, Sandhu RA. Best linear unbiased and maximum likelihood estimation for exponential distributions under general progressively Type-II censored samples. Sankhya, Ser B. 1996;58:1–9.
   Google Scholar
• Dahmen K, Burkschat M, Cramer E. A- and D-optimal progressive Type-II censoring designs based on Fisher information. J Comput Stat Data Anal. 2012;82:879–905.
   Google Scholar
• Wang B. Goodness-of-fit test for the exponential distribution based on progressively Type-II censored sample. J Comput Stat Data Anal. 2008;78:125–132.
   Google Scholar
• Balakrishnan N, Kannan N, Lin CT, Wu SJS. Inference for the extreme value distribution under progressive Type-II censoring. J Comput Stat Data Anal. 2004;74:25–45.
   Google Scholar
• Balakrishnana N, Hossain A. Inference for the Type II generalized logistic distribution under progressive Type II censoring. J Comput Stat Data Anal. 2007;77:1013–1031.
   Google Scholar
• Balakrishnan N, Lin C-T. On the distribution of a test for exponentiality based on progressively type-II right censored spacings. J Comput Stat Data Anal. 2003;73:277–283.
   Google Scholar
• Pakyari R, Balakrishnan N. Goodness-of-fit tests for progressively Type-II censored data from location-scale distributions. J Comput Stat Data Anal. 2013;83:167–178.
   Google Scholar
• Rezapour M, Alamatsaz MH, Balakrishnan N. On properties of dependent general progressively Type-II censored order statistics. Metrika. 2013;76:909–917. doi: 10.1007/s00184-012-0423-7
   Web of Science ®Google Scholar
• Rezapour M, Alamatsaz MH, Cramer E, Balakrishnan N. On properties of progressively Type-II censored order statistics arising from dependent and non-identical random variables. Stat Methods. 2013;10:58–71. doi: 10.1016/j.stamet.2012.06.001
   Web of Science ®Google Scholar
• Balakrishnan N, Cramer E. Progressive censoring from heterogeneous distributions with applications to robustness. Ann Inst Statist Math. 2008;60:151–171. doi: 10.1007/s10463-006-0070-8
   Web of Science ®Google Scholar
• Hofert M. Sampling Archimedean copulas. J Comput Stat Data Anal. 2008;52(12):5163–5174. doi: 10.1016/j.csda.2008.05.019
   Web of Science ®Google Scholar
• Fischer T, Balakrishnan N, Cramer E. Mixture representation for order statistics from INID progressive censoring and its applications. J Mult Anal. 2008;99:1999–2015. doi: 10.1016/j.jmva.2008.02.007
   Web of Science ®Google Scholar