Morgenstern族中GOS伴随项的不精确度量
Inaccuracy measures for concomitants of GOS in Morgenstern family
摘要：
本文给出了Morgenstern族中广义顺序统计量的第r个伴随量与母体随机变量之间的不精确性度量。给出了这个结果在伴随顺序统计量和记录值中的应用。本文还研究了顺序统计量的第r伴随（记录值）的分布函数与母体随机变量的分布函数之间的累积过去不准确度（CPI）的一些结果。最后讨论了在伴随广义顺序统计量的情况下，由经验CPI估计CPI的问题。
英文摘要：
In this paper, we obtain a measure of inaccuracy between rth concomitant of generalized order statistic and the parent random variable in Morgenstern family. Applications of this result are given for concomitants of order statistics and record values. We also study some results of cumulative past inaccuracy (CPI) between the distribution function of rth concomitant of order statistic (record value) and the distribution function of parent random variable. Finally, we discuss on a problem of estimating the CPI by means of the empirical CPI in concomitants of generalized order statistics.
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