扩展指数分布的上记录值

Q3 Mathematics

Journal of Modern Applied Statistical Methods Pub Date : 2019-05-06 DOI:10.22237/JMASM/1557149263

D. Kumar, S. Dey

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引用次数: 3

摘要

Nadarajah和Haghighi(2011)为扩展指数分布的上记录值的单矩和积矩建立了一些递归关系，作为gamma、Weibull和指数分布的替代。给出了上记录值的负矩和商矩的递推关系。利用单矩和积矩的关系，从大小不超过10的样本中得到的上记录值的均值、方差和协方差被制表为形状参数和尺度参数的各种值。提出了一种基于记录值条件矩的分布特征。

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Upper Record Values from Extended Exponential Distribution

Some recurrence relations are established for the single and product moments of upper record values for the extended exponential distribution by Nadarajah and Haghighi (2011) as an alternative to the gamma, Weibull, and the exponentiated exponential distributions. Recurrence relations for negative moments and quotient moments of upper record values are also obtained. Using relations of single moments and product moments, means, variances, and covariances of upper record values from samples of sizes up to 10 are tabulated for various values of the shape parameter and scale parameter. A characterization of this distribution based on conditional moments of record values is presented.

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来源期刊

Journal of Modern Applied Statistical Methods STATISTICS & PROBABILITY-

CiteScore

0.50

自引率

0.00%

发文量

期刊介绍： The Journal of Modern Applied Statistical Methods is an independent, peer-reviewed, open access journal designed to provide an outlet for the scholarly works of applied nonparametric or parametric statisticians, data analysts, researchers, classical or modern psychometricians, and quantitative or qualitative methodologists/evaluators.