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Characterizations of probability distributions by different regression conditions on generalized order statistics has attracted the attention of many researchers. We present here, characterization of Pareto and Weibull distributions based on the conditional expectation of generalized order statistics extending the characterization results reported by Jin and Lee (2014). We also present a characterization of the power function distribution based on the conditional expectation of lower generalized order statistics.
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참고문헌 (8)
참고문헌 신청
M. Ahsanullah / 2013 / Characterizations of continuous distri-butions based on conditional expectation of generalized order statistics / Comm. Statist. Theory-Methods 42:3608~3613
M. Ahsanullah / 2010 / Exponential Distribution: Theory and Methods / NOVA Publishers
M. Bieniek / 2009 / A note on characterizations of distributions by regressions of non-adjacent generalized order statistics / Aust. N. Z. J. Stat 51:89~99
M. Bieniek / 2003 / Characterizations of distributions via linearity of regression of generalized order statistics / Metrika 58:259~271
M. Burkschat / 2003 / Dual Generalized Order Statistics / Metron LXI:13~26
M. Ahsanullah / 2010 / Exponential Distribution: Theory and Methods / NOVA Publishers
M. Bieniek / 2009 / A note on characterizations of distributions by regressions of non-adjacent generalized order statistics / Aust. N. Z. J. Stat 51:89~99
M. Bieniek / 2003 / Characterizations of distributions via linearity of regression of generalized order statistics / Metrika 58:259~271
M. Burkschat / 2003 / Dual Generalized Order Statistics / Metron LXI:13~26
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