Results 201 to 210 of about 592,772 (239)

‘Exponential mixtures and quadratic exponential families’

Biometrika, 1994
SUMMARY Conditions are derived under which quadratic and polynomial exponential models can be generated as mixtures of linear exponential models. The conditions are highly restrictive for continuous sample spaces, but less restrictive in the discrete case.
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Unimodality and Exponential Families

Communications in Statistics - Simulation and Computation, 1973
Relationships between uninodality, strong unimodality and canonical exponential families axe studied. Furthermore, some considerations axe given pertaining to the duality viewpoint as applied to the sampling and the likelihood aspects of statistical models.
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Family of Exponentiated Exponential Distribution

2015
As was mentioned, in Chap. 1, that Gompertz (1825) raised the extreme value distribution to a positive parameter. Verhulst (1847) introduced the following CDF of a random variable X.
Essam K. AL-Hussaini, Mohammad Ahsanullah   +1 more
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Cuts in Natural Exponential Families

Theory of Probability & Its Applications, 1996
A simplified and extended theory of cuts in natural exponential families is established. Further, an open question in this subject area is solved, in the negative, by a counter-example, and a link to the recent theory of variance functions for natural exponential families is pointed out.
Barndorff-Nielsen, O. E., Koudou, A. E.
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A note on overdispersed exponential families

Biometrika, 1990
Abstract : The issue of creating overdispersion in a given one parameter one dimensional exponential family, by extending it to a two parameter exponential family with the same support, is considered. An easily verifiable sufficient condition for this is derived.
S. R. Dalal, Alan E. Gelfand
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The Exponential Projection Filter and the Selection of the Exponential Family

1996
International ...
Brigo, Damiano, Hanzon, Bernard, Le Gland, François   +2 more
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Simulation in exponential families

ACM Transactions on Modeling and Computer Simulation, 1999
An acceptance-rejection algorithm for the simulation of random variables in statistical exponential families is described. This algorithm does not require any prior knowledge of the family, except sufficient stati stics and the value of the parameter. It allows simulation from many members of the exponential family.
Philippe Barbe, Michel Broniatowski
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Conditionals in Exponential Families

1992
Following our careful analysis of the normal conditionals example in the last chapter and our brief mention of the exponential conditionals distribution in Chapter 2, it is natural to seek out more general results regarding distributions whose conditionals are posited to be members of quite general exponential families. Indeed the discussion leading up
José María Sarabia, Enrique Castillo, Barry C. Arnold   +2 more
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Meet the Exponential Family

2009
In Chapters 2 and 3 and in Appendix A, linear regression and additive modelling were discussed and various extensions allowing for different variances, nested data, temporal correlation, and spatial correlation were then discussed in Chapters 4, 5, 6, and 7.
Alain F. Zuur, Neil J. Walker, Graham M. Smith, Elena N. Ieno, Anatoly A. Saveliev   +4 more
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Exponential Family of Distributions

2017
The role of exponential family of distributions has become increasingly important for developing generalized linear models that can be extended to repeated measures data as well. Chapter 3 provides an introduction to the exponential family of distribution with several examples. Some important properties are also shown.
Rafiqul I. Chowdhury, M. Ataharul Islam
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