Titlebook: A Modern Course on Statistical Distributions in Scientific Work; Proceedings of the N G. P. Patil,S. Kotz,J. K. Ord Conference proceedings

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A Modern Course on Statistical Distributions in Scientific Work978-94-010-1842-5Series ISSN 1389-2185

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Jong Hyun Kim,Jung Min Han,Sunghoon Kimng functions involve hypergeometric functions. This extension contains other distributions appearing in the literature as particular cases. Various methods of estimating the parameters are investigated and their asymptotic efficiency relative to maximum likelihood estimators compared.

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https://doi.org/10.1007/978-3-642-68579-8ltivariate standpoint. Known results on estimating parameters of the laws are summarized and some new Monte Carlo results involving estimation by using sample characteristic functions is reported. The growing controversy regarding the application of these laws in the field of Finance is examined in terms of the most recent evidence.

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Martin Beaumont,François BlachierSome recent results in power series distributions (.’s on the following topics are discussed: (i) minimum variance unbiased estimation, (ii) elementary integral expressions for the distribution function, and (iii) sum-symmetric powers series distributions which is a multivariate extension of univariate .’s.

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Amino-Acid Homopolymers Occurring in NatureThe four distributions discussed here belong to two partially overlapping classes. The class (es) to which each belongs is found to determine the kinds of models giving rise to it. Urn, contagion, stochastic and STER process models are considered together with conditionally, weighting and mixing models.

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