Characterizations of generalized mixtures of geometric and exponential distributions based on upper record values

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Title:	Characterizations of generalized mixtures of geometric and exponential distributions based on upper record values
Authors:	吳忠武;Wu, Jong-wuu
Contributors:	淡江大學統計學系
Keywords:	Characterization;Record values;Conditional expectation;Failure rate;Difference equations;Differential equations;Generalized mixtures of geometric;distribution;Generalized mixtures of exponential distribution
Date:	2001-01-01
Issue Date:	2009-11-30 12:53:27 (UTC+8)
Publisher:	Springer
Abstract:	Let XU(1) < XU(2) < ... < XU(n) < ... be the sequence of the upper record values from a population with common distribution function F. In this paper, we first give a theorem to characterize the generalized mixtures of geometric distribution by the relation between E[(XU(n+1)-XU(n)2¦XU(n)=x and the function of the failure rate of the distribution, for any positive integer n. Secondly, we also use the same relation to characterize the generalized mixtures of exponential distribution. The characterizing relations were motivated by the work of Balakrishnan and Balasubramanian (1995).
Relation:	Statistical Papers 42(1), pp.123-133
DOI:	10.1007/s003620000045
Appears in Collections:	[Graduate Institute & Department of Statistics] Journal Article

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