Inference for IZAWA’S Bivariate Gamma Distribution

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초록

In this article, we aim to establish some theoretical properties of Izawa’s bivariate gamma distribution having equal shape parameters. First, we propose a procedure to obtain the maximum likelihood estimates and derive an expression for the Fisher information. Simulation studies illuminate the properties of maximum likelihood estimators. We also establish an asymptotic test for independence based on the limiting distribution of maximum likelihood estimators. © 2018, © 2018 Taylor & Francis Group, LLC.

키워드

Asymptotic distributionbivariate gamma distributionfisher informationindependence testlikelihood ratio testMLEFisher information matrixStatistical testsAsymptotic distributionsBivariate gamma distributionFisher informationIndependence testsLikelihood ratio testsMaximum likelihood estimation
제목
Inference for IZAWA’S Bivariate Gamma Distribution
저자
Cho, S.-H.Johnson, R.A.
DOI
10.1080/03610926.2018.1494288
발행일
2019-09
유형
Article in Press
저널명
Communications in Statistics - Theory and Methods
48
17
페이지
4350 ~ 4366