Titlebook: Statistical Distributions in Scientific Work; Volume 4 — Models, S Charles Taillie,Ganapati P. Patil,Bruno A. Baldess Conference proceeding

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crease

On Bivariate Discrete Distributions Generated by Compoundingprobability generating function techniques. Special attention is given to power series distributions (PSD), in particular when Z is a compound Poisson. Recurrences for joint probabilities and cumulants are indicated. Several . estimation techniques are discussed.

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A Bivariate Hyper-Poisson Distributionas its marginals and bivariate Poisson distribution as a particular case. Various other particular cases and some properties of the new bivariate distribution are discussed. The moment method has been employed to estimate the parameters.

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The Independence of Size and Shape before and after Scale Changeape after the change cannot be independent of the same ratio applied to . unless again G(.)/G(.) is degenerate. A consequence is that if proportions (shape) follow a generalized Dirichlet distribution before the change on . they cannot do so after the change.

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农学

A Note on the Inverse Gaussian Distribution application in varied fields. From the point of view of distribution theory too, there seems to be a plethora of remarkable properties which the Inverse Gaussian shares with the normal distribution. The object of this note is to study a few properties hitherto unnoticed. Two problems are posed whose solutions still remain unresolved.

要素

Statistical Predictive Distributionsin a number of other applications, particularly when modelling is of a complex nature. The purpose of this paper is to review the state of the art, first recalling the basic structure of the prediction problem, then highlighting more recent research developments, and discussing in some detail comple

ABIDE

Hyperbolic Distributions and Ramifications: Contributions to Theory and Applicationthe hyperbolic distribution are considered in some detail. Various ways of approximating a theoretical distribution by one of the hyperbolic or generalized hyperbolic distributions are outlined and as an application of this an approximation is obtained to the distribution of the sum of a sample of o

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Multivariate Distributions of Hyperbolic Typermation and to contain as well multivariate location-scale submodels as exponential submodels. Two members of this family, the d-dimensional hyperbolic distribution, which describes a specific form of non-normal variation, and the d-dimensional hyperboloid distribution, an analogue of the von Mises-