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

Journal of Statistical Theory and Applications (JSTA)

关键词: Type-II exponentiated log-logistic distribution;    Moments;    Order statistics;    Best linear unbiased estimators;   

DOI  :  10.2991/jsta.d.200825.002

来源: DOAJ

【 摘 要 】

In this paper, we first derive the exact explicit expressions for the single and product moments of order statistics from the type-II 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.

【 授权许可】

Unknown