Title : ( A flexible ranked set sampling schemes: Statistical analysis on scale parameter )
Authors: Abbas Eftekharian , Mostafa Razmkhah , Jafar Ahmadi ,
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Abstract
A flexible ranked set sampling scheme including some various existing sampling methods is proposed. This scheme may be used to minimize the error of ranking and the cost of sampling. Based on the data obtained from this scheme, the maximum likelihood estimation as well as the Fisher information are studied for the scale family of distributions. The existence and uniqueness of the maximum likelihood estimator of the scale parameter of the exponential and normal distributions are investigated. Moreover, the optimal scheme is derived via simulation and numerical computations.
Keywords
Fisher information; Maximum likelihood estimation; Optimality; Order statistics; Relative efficiency.
@article{paperid:1088821,
author = {Eftekharian, Abbas and Razmkhah, Mostafa and Ahmadi, Jafar},
title = {A flexible ranked set sampling schemes: Statistical analysis on scale parameter},
journal = {Statistics, Optimization and Information Computing},
year = {2021},
volume = {9},
month = {March},
issn = {2311-004X},
pages = {189--203},
numpages = {14},
keywords = {Fisher information; Maximum likelihood estimation; Optimality; Order statistics; Relative efficiency.},
}
%0 Journal Article
%T A flexible ranked set sampling schemes: Statistical analysis on scale parameter
%A Eftekharian, Abbas
%A Razmkhah, Mostafa
%A Ahmadi, Jafar
%J Statistics, Optimization and Information Computing
%@ 2311-004X
%D 2021
