Inferences for Modified Lindley Distribution Under Order Statistics with Applications

被引：0
|
作者：
Goyal, A. [1 ]
Kumar, D. [2 ]
Joorel, J. P. S. [3 ]
Kumar, M. [4 ]
机构：
[1] Panjab Univ, Dept Stat, Chandigarh, India
[2] Univ Delhi, Fac Math Sci, Dept Stat, Delhi, India
[3] Univ Jammu, Dept Stat, Jammu, India
[4] Cent Univ Haryana, Dept Stat, Jaat, Haryana, India
来源：
STRENGTH OF MATERIALS | 2024年 / 56卷 / 04期
关键词：
modified Lindley distribution; moments; order statistics; maximum likelihood estimator; best linear unbiased estimates; MOMENTS;
D O I：
10.1007/s11223-024-00692-y
中图分类号：
TB3 [工程材料学];
学科分类号：
0805 ; 080502 ;
摘要：
In this study, we obtain relations for the moments of order statistics from the modified Lindley distribution without any restriction for the parameter. In addition, we use these moments to obtain the mean, variances, and covariances of order statistics from the modified Lindley distribution. In particular, we compare, through simulation study, the performance of the maximum likelihood estimation, ordinary and weighted least-squares estimation, percentile estimators, and Cram & eacute;r-von Mises estimators. Finally, we apply the paper's findings to some real data sets.
引用
收藏
页码：796 / 814
页数：19
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