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Abstrakty
Ranked set sampling (RSS) is a data collection method that allows us to direct attention toward measurements of more representative sample units. This article deals with estimating a time-dependent reliability measure under a generalization of the RSS. Some results concerning optimal properties of the proposed estimator are presented. Monte Carlo simulation is employed to assess performance of the estimator. A sport data set is finally analyzed.
Słowa kluczowe
Czasopismo
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Tom
Strony
1--18
Opis fizyczny
Bibliogr. 14 poz., wykr.
Twórcy
autor
- Department of Statistics, Hakim Sabzevari University, P.O. Box 397, Sabzevar, Iran
autor
- Department of Statistics, University of Isfahan, P.O. Box 81746-73441, Isfahan, Iran
Bibliografia
- [1] M. F. Al-Saleh and M. A. Al-Kadiri, Double-ranked set sampling, Statist. Probab. Lett. 48 (2) (2000), pp. 205-212.
- [2] M. F. Al-Saleh and A. I. Al-Omari, Multistage ranked set sampling, J. Statist. Plann. Inference 102 (2) (2002), pp. 273-286.
- [3] M. F. Al-Saleh and M. H. Samuh, On multistage ranked set sampling for distribution and median estimation, Comput. Statist. Data Anal. 52 (4) (2008), pp. 2066-2078.
- [4] Z. M. Birnbaum, On a use of the Mann-Whitney statistic, in: Proceedings of the Third Berkeley Symposium on Mathematical Statistics and Probability, Volume 1: Contributions to the Theory of Statistics, J. Neyman (Ed.), University of California Press, Berkeley 1956, pp. 13-17.
- [5] Z. Chen, Ranked set sampling: Its essence and some new applications, Environ. Ecol. Stat. 14 (4) (2007), pp. 355-363.
- [6] S. Kotz, Y. Lumelskii, and M. Pensky, The Stress-Strength Model and Its Generalizations: Theory and Applications, World Scientific, River Edge, NJ, 2003.
- [7] E. L. Lehmann, Some concepts of dependence, Ann. Math. Statist. 37 (1966), pp. 1137-1153.
- [8] M. Mahdizadeh and E. Zamanzade, A new reliability measure in ranked set sampling, Statist. Papers 59 (3) (2018), pp. 861-891.
- [9] G. A. McIntyre, A method for unbiased selective sampling using ranked sets, Aust. J. Agric. Res. 3 (1952), pp. 385-390.
- [10] S. Sengupta and S. Mukhuti, Unbiased estimation of P(X > Y ) using ranked set sample data, Statistics 42 (3) (2008), pp. 223-230.
- [11] S. L. Stokes, Ranked set sampling with concomitant variables, Comm. Statist. Theory Methods 6 (1977), pp. 1207-1211.
- [12] K. Takahasi and K. Wakimoto, On unbiased estimates of the population mean based on the sampling stratified by means of ordering, Ann. Inst. Statist. Math. 20 (1968), pp. 1-31.
- [13] D. A. Wolfe, Ranked set sampling: An approach to more efficient data collection, Statist. Sci. 19 (4) (2004), pp. 636-643.
- [14] V. Zardasht and M. Asadi, Evaluation of P(Xt > Yt) when both Xt and Yt are residual lifetimes of two systems, Stat. Neerl. 64 (4) (2010), pp. 460-481.
Typ dokumentu
Bibliografia
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