Classical estimation of hazard rate and mean residual life functions of Pareto distribution期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

Classical estimation of hazard rate and mean residual life functions of Pareto distribution

Authors:	K. V. Viswakala

Affiliation:	Department of Statistics, University of Kerala, Thiruvananthapuram, India

Abstract:	Abstract In this paper we find the maximum likelihood estimates (MLEs) of hazard rate and mean residual life functions (MRLF) of Pareto distribution, their asymptotic non degenerate distribution, exact distribution and moments. We also discuss the uniformly minimum variance unbiased estimate (UMVUE) of hazard rate function and MRLF. Finally, two numerical examples with simulated data and real data set, are presented to illustrate the proposed estimates.

Keywords:	Asymptotic non degenerate distribution Hazard rate function Maximum likelihood estimates (MLEs) Mean residual life function (MRLF) Pareto distribution Uniformly minimum variance unbiased estimator (UMVUE)