STATISTICAL INFERENCE FOR GEOMETRIC PROCESS WITH THE INVERSE RAYLEIGH DISTRIBUTION

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Sigma Mühendislik ve Fen Bilimleri Dergisi
Volume:37 Issue:3
STATISTICAL INFERENCE FOR GEOMETRIC PROCESS WITH THE INVERSE RAYLEIGH DISTRIBUTION

STATISTICAL INFERENCE FOR GEOMETRIC PROCESS WITH THE INVERSE RAYLEIGH DISTRIBUTION

Authors : İlhan USTA

Pages : 871-882

View : 33 | Download : 8

Publication Date : 2020-09-01

Article Type : Research Paper

Abstract :This paper deals with the statistical inference for the geometric process insert ignore into journalissuearticles values(GP);, in which the time until the occurrence of the first event is assumed to follow inverse Rayleigh distribution. The maximum likelihood insert ignore into journalissuearticles values(ML); method is used to derive the estimators of the parameters in GP. Asymptotic distributions of the ML estimators are obtained which help us to construct confidence intervals for the parameters and show the consistency of these estimators. The performances of the ML estimators are also compared with the corresponding non-parametric modified moment estimators in terms of bias, mean squared error and Pitman nearness probability through an extensive simulation study. Finally, a real data set is provided to illustrate the results.
Keywords : Geometric process, inverse Rayleigh distribution, maximum likelihood estimator, modified moment estimator, asymptotic normality

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