The Combined-Unified Hybrid Censored Samples from Pareto Distribution: Estimation and Properties

Applied Sciences

卷:11

Khalaf S. Sultan¹  Walid Emam¹ 

[1] Department of Statistics and Operations Research, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia;

关键词: maximum likelihood estimates;    unbiased estimator;    interval estimation;    minimum variance bound and relative efficiency;    combined hybrid censored and unified hybrid censored samples;   

DOI  :  10.3390/app11136000

来源: DOAJ

【 摘 要 】

In this paper, we use the combined-unified hybrid censoring samples to obtain the maximum likelihood estimates of the unknown parameters, survival, and hazard functions of Pareto distribution. Next, we discuss some efficiency criteria of the maximum likelihood estimators, including; the unbiasedness, consistency, and sufficiency. Additionally, we use MCMC to obtain the Bayesian estimates of the unknown parameters. In addition, we calculate the intervals estimation of the unknown parameters. Finally, we analyze a set of real data in view of the theoretical findings of the paper.

【 授权许可】

Unknown