Maximum likelihood estimation of the parameters of the inverse Gaussian distribution using maximum rank set sampling with unequal samples
Authors:
- 27 December 2021
- journal article
- research article
- Published by Taylor & Francis in Mathematical Population Studies
- Vol. 30 (1) , 1-21
Abstract
Maximum ranked set sampling with unequal samples is a sampling procedure used to reduce the error of ranking of observations and increase the efficiency of statistical inference. It is used for maximum likelihood estimation of the location and shape parameters of the inverse Gaussian distribution. Its asymptotic efficiency is at least 1.4 times higher than those of estimators based on simple random sampling. It is useful in reliability studies and in Bayesian statistics involving the inverse Gaussian distribution.Keywords
Funding Information
- National Natural Science Foundation of China (11901236)
- Scientific Research Fund of Hunan Provincial Science and Technology Department (2019JJ50479)
- Postgraduate Scientific Research Innovation Fund of Jishou University (JGY202138)
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