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

Abstract

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.

Keywords

• maximum likelihood estimates
• unbiased estimator
• interval estimation
• minimum variance bound and relative efficiency
• combined hybrid censored and unified hybrid censored samples