Estimation of the Marshall-Olkin Pareto distribution parameters: comparative study. (English) Zbl 1478.62033
Summary: This article deals with different methods of point estimation for the unknown parameters of Marshall-Olkin Pareto distribution (MOP). This is a new lifetime that generalizes Pareto distribution, which was introduced by Marshall-Olkin (1997). Some classical point estimation methods are considered and their asymptotic properties are discussed along with studying Bayesian estimation method. The main purpose of this work is to determine which estimation method is more efficient under MOP distribution based on minimum average relative mean square error (MSE). Real data analyses are performed and it has been shown that MOP distribution is a better fit than the original Pareto distribution. In this paper, we compare the performances of these procedures through extensive numerical simulations.
MSC:
| 62E10 | Characterization and structure theory of statistical distributions |
| 60E05 | Probability distributions: general theory |
| 62E15 | Exact distribution theory in statistics |
| 62F10 | Point estimation |
| 62N05 | Reliability and life testing |
Keywords:
Marshall-Olkin distribution; Pareto distribution; percentile estimation method; least square estimation; L-moments estimation; Bayesian estimation; Lindley method; Monte Carlo simulations; Newton-Raphson methodSoftware:
LMOMENTSReferences:
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