2024/09/11 by Arshad, Mohd., Khandelwal, Nancy, Athar, Haseeb +1
Economics, Econometrics and Finance · Mathematics · #Financial Risk and Volatility Modeling #Generalized order statistics #Statistical Distribution Estimation and Applications #Statistical Methods and Inference #improved estimator #modified maximum likelihood estimator #progressive type II censoring scheme #scaled squared error loss #uniformly minimum variance unbiased estimator
paper · doi:10.57805/20s78c07
openalex publication_date 2024/09/11 · openalex created_date 2025/12/10 · openalex updated_date 2026/07/28
The paper addresses the estimation of a common scale parameter in k(≥ 2) Pareto populations with unknown shape parameters, using generalized order statistics. Maximum likelihood, modified maximum likelihood, and uniformly minimum variance unbiased estimators are derived. A class of estimators, improving upon the maximum likelihood estimator, is introduced based on the minimum risk criterion with a scaled squared error loss function. The performance of the estimators is analyzed through simulations under progressive type II censoring, and two empirical datasets are used to demonstrate the practical application of the findings.