新二元Gompertz分布阶统计量的伴随性

Q3 Mathematics

Journal of Modern Applied Statistical Methods Pub Date : 2020-01-01 DOI:10.22237/jmasm/1604189820

Sumit Kumar, Mohd. Juned Khan, Surinder Kumar

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引用次数: 2

摘要

对于新的二元Gompertz分布，导出了n阶统计量的概率密度函数(pdf)和伴随统计量的概率密度函数(pdf)的表达式。由相应的序统计量产生的伴随性质被用来推导这些结果。导出了n阶伴随统计量的矩生成函数(mgf)的精确表达式。利用n阶统计量的伴随量的mgf计算了n阶统计量的伴随量的均值，并推导了两个非相邻阶统计量的伴随量的联合密度的精确表达式。

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Concomitant of Order Statistics from New Bivariate Gompertz Distribution

For the new bivariate Gompertz distribution, the expression for probability density function (pdf) of rth order statistics and pdf of concomitant arising from rth order statistics are derived. The properties of concomitant arising from the corresponding order statistics are used to derive these results. The exact expression for moment generating function (mgf) of concomitant of order rth statistics is derived. Also, the mean of concomitant arising from rth order statistics is computed using the mgf of concomitant of rth order statistics, and the exact expression for joint density of concomitant of two non-adjacent order statistics are derived.

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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.