Improved Shrinkage Estimators in Zero-Inflated Negative Binomial Regression Model

نویسندگان

چکیده

‎Zero-inflated negative binomial model is an appropriate choice to count response variables with excessive zeros and over-dispersion simultaneously. ‎This paper addressed parameter estimation in the zero-inflated when there are many parameters, ‎so that some of them have not influence on variable. ‎We proposed based linear shrinkage, ‎pretest, ‎shrinkage pretest, ‎Stein-type, ‎and positive Stein-type estimators. obtained asymptotic distributional biases risks suggested estimators theoretically. ‎‎We also conducted a Monte Carlo simulation study ‎to compare performance each estimator unrestricted using simulated relative efficiency (SRE) criterion.‎‎ ‎The results reveal SREs higher than estimator. were applied wildlife fish data appraise their performance.

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ژورنال

عنوان ژورنال: Hacettepe journal of mathematics and statistics

سال: 2021

ISSN: ['1303-5010']

DOI: https://doi.org/10.15672/hujms.911424