基于序统计量的ii型指数对数- logistic分布的推论及应用

IF 1 Q3 Mathematics

Journal of Statistical Theory and Applications Pub Date : 2020-09-01 DOI:10.2991/jsta.d.200825.002

D. Kumar, Maneesh Kumar, S. Dey

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引用次数: 2

摘要

本文首先从ii型指数对数-logistic分布中导出了阶统计量的单阶矩和积阶矩的精确显式表达式，然后利用这些结果计算了n阶统计量的均值、方差、偏度和峰度。此外，研究了具有已知形状参数的ii型指数型logistic分布的位置参数和尺度参数的最佳线性无偏估计。最后，用一个实际数据集对结果进行了说明。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Inferences for the Type-II Exponentiated Log-Logistic Distribution Based on Order Statistics with Application

In this paper, we first derive the exact explicit expressions for the single and product moments of order statistics from the typeII exponentiated log-logistic distribution, and then use these results to compute the means, variances, skewness and kurtosis of rth order statistics. Besides, best linear unbiased estimators (BLUEs) for the location and scale parameters for the type-II exponentiated log-logistic distribution with known shape parameters are studied. Finally, the results are illustrated with a real data set.

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来源期刊

Journal of Statistical Theory and Applications STATISTICS & PROBABILITY-

CiteScore

2.30

自引率

0.00%

发文量

审稿时长

13 weeks