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INFERENCE IN THE MULTIVARIATE EXPONENTIAL MODELS

Keywords: Fisher information , Generalized likelihood ratio test , Maximum likelihood estimator , Multivariate exponential model , Simultaneous failures.

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Abstract:

Block (1975) extended bivariate exponential distributions (BVEDs) of Freund (1961)and Proschan and Sullo (1974) to multivariate case and called them as Generalized Freund-Weinman's multivariate exponential distributions (MVEDs). In this paper, we obtain MLEs of theparameters and large sample test for testing independence and symmetry of k components in thegeneralized Freund-Weinman's MVEDs.

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