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math.ST updates on arXiv.org

What is Learnable in Valiant's Theory of the Learnable? 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On Bivariate Generalized Exponential-Power Series Class of Distributions
Ali Akbar Jafari, Rasool Roozegar · 2015-08-02 · via math.ST updates on arXiv.org

In this paper, we introduce a new class of bivariate distributions by compounding the bivariate generalized exponential and power-series distributions. This new class contains some new sub-models such as the bivariate generalized exponential distribution, the bivariate generalized exponential-poisson, -logarithmic, -binomial and -negative binomial distributions. We derive different properties of the new class of distributions. The EM algorithm is used to determine the maximum likelihood estimates of the parameters. We illustrate the usefulness of the new distributions by means of an application to a real data set.

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