Advances and Applications in Statistics
Volume 8, Issue 1, Pages 101 - 107
(February 2008)
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BAYESIAN TESTING FOR INDEPENDENCE IN MARSHALL AND OLKIN?S BIVARIATE EXPONENTIAL MODEL
Jang Sik Cho (Korea), Chang Wan Kang (Korea) and Seung Bae Choi (Korea)
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Abstract: In this paper, we propose a Bayesian testing procedure forindependence in Marshall and Olkin?s bivariate exponential modelbased on Bayes factor. We use a noninformative prior such as an improper prior for the parameters so that such prior is defined only upto arbitrary constant which affects the values of Bayes factors. So we compute the fractional Bayes factor (FBF) proposed by O?Hagan [6] to compensate for that arbitrariness. We compute FBF?s and calculate the posterior probabilities for the hypotheses, respectively. We illustrateour procedure through a numerical example. |
Keywords and phrases: Bayesian testing, bivariate exponential model, fractional Bayes factor, improper prior, Marshall and Olkin?s model, posterior probability. |
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