Some Characterization and Relations Based on K-th Lower Record Values

Author:

Al-Shomrani Ali A.

Abstract

In this paper, we obtain certain expressions and recurrence relations for two general classes of distributions based on some conditional expectations of k-th lower record values. We consider the necessary and sufficient conditions such that these conditional expectations hold for some distribution functions. Furthermore, an expression of conditional expectation of other general class of distributions through truncated moments of some random variable is considered. Some distributions as examples of these general classes are shown in Tables1and2accordingly.

Publisher

Bentham Science Publishers Ltd.

Reference20 articles.

1. Kamps U. Reliability properties of record values from non-identically distributed random variables. Communication in Statistics, Theory and Methods 1994; 23 : 2101-12.

2. Chandler KN. The distribution and frequency of record values. Journal of the Royal Statistical Society: Series B 1952; 14 : 220-8.

3. Dziubdziela W, Kopociński B. Limiting properties of the k-th record values. Applicationes Mathematicae 1976; 2 : 187-90.

4. Nagaraja HN. Some characterizations of continuous distributions based on regressions of adjacent order statistics and record values sankhyaseriesa Sankhya: The Indian Journal of Statistics, Series A (1961-2002) 1988; 50 : 70-3.

5. Franco M, Ruiz JM. On characterization of continuous distributions by conditional expectation of record values. sankhyaseriesa Sankhya: The Indian Journal of Statistics, Series A (1961-2002) 1996; 58 : 135-41.

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1. Some mathematical properties of Odd Kappa-G family;Research in Mathematics;2022-07-07

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