Exact Moments of Order Statistics and Parameter Estimation for Sushila Distribution

被引:0
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作者
Narinder Pushkarna
Jagdish Saran
Shikha Sehgal
机构
[1] University of Delhi,Department of Statistics
关键词
Order statistics; Single moments; Exact moments; L-moments; TL-moments; Method of moments; Maximum likelihood estimator; Sushila distribution (SD); Reliability function; Stress–strength set-up; 62G30; 62N05;
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摘要
In this paper, we have obtained the exact expression and recurrence relations for single moments of order statistics arising from Sushila distribution. We have also obtained L-moments, TL-moments of Sushila distribution and used them to find the L-moment and TL-moment estimators of the parameters of the distribution. The estimators of the parameters are also obtained using the method of moments and maximum likelihood. Further, by using these maximum likelihood estimators (MLEs), we have also obtained the MLEs of the measures of reliability of the considered distribution. Monte Carlo simulation has been carried out to investigate the performance of the estimators.
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页码:106 / 130
页数:24
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