Efficient estimation of Pareto model: Some modified percentile estimators

被引：12

作者：

Bhatti, Sajjad Haider ^{[1
]}

Hussain, Shahzad ^{[1
]}

Ahmed, Tanvir ^{[1
]}

Aslam, Muhammad ^{[2
]}

Aftab, Muhammad ^{[1
]}

Raza, Muhammad Ali ^{[1
]}

机构：

[1] Govt Coll Univ, Dept Stat, Faisalabad, Pakistan

[2] Bahauddin Zakariya Univ, Dept Stat, Multan, Pakistan

来源：

PLOS ONE | 2018年 / 13卷 / 05期

关键词：

3-PARAMETER LOGNORMAL-DISTRIBUTION; RIDGE-REGRESSION ESTIMATORS; MODIFIED MAXIMUM-LIKELIHOOD; OF-FIT TESTS; WEIBULL DISTRIBUTION; MODIFIED MOMENT; PARAMETERS; DISTRIBUTIONS; PERFORMANCE; LAW;

D O I：

10.1371/journal.pone.0196456

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

The article proposes three modified percentile estimators for parameter estimation of the Pareto distribution. These modifications are based on median, geometric mean and expectation of empirical cumulative distribution function of first-order statistic. The proposed modified estimators are compared with traditional percentile estimators through a Monte Carlo simulation for different parameter combinations with varying sample sizes. Performance of different estimators is assessed in terms of total mean square error and total relative deviation. It is determined that modified percentile estimator based on expectation of empirical cumulative distribution function of first-order statistic provides efficient and precise parameter estimates compared to other estimators considered. The simulation results were further confirmed using two real life examples where maximum likelihood and moment estimators were also considered.

引用

页数：15

共 43 条

[1] Parameter estimation for the truncated pareto distribution [J].