Classical estimation of hazard rate and mean residual life functions of Pareto distribution. (English) Zbl 1508.62228
Summary: 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.
MSC:
| 62N02 | Estimation in survival analysis and censored data |
| 62F10 | Point estimation |
| 62N05 | Reliability and life testing |
Keywords:
asymptotic nondegenerate distribution; hazard rate function; maximum likelihood estimates (MLEs); mean residual life function (MRLF); Pareto distribution; uniformly minimum variance unbiased estimator (UMVUE)References:
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