On Mixtures of Distributions: A Survey and Some New Results on Ranking and Selection

Gupta, Shanti S.; Huang, Wen-Tao

doi:10.21236/ada077635

Cited by 9 publications

(7 citation statements)

References 74 publications

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“…Also, literature reviews on special topics related to mixtures can be found in the papers by Gupta & Huang (1981) (on ranking and selection topics), Redner & Walker (1984) (on the EM algorithm for finite mixtures) and Titterington (1990); an update of some topics covered in the book by Titterington et al (1985).…”

Section: Introductionmentioning

confidence: 99%

“…Interesting reviews for finite mixture models are given in the books by Everitt & Hand (1981), Titterington et al (1985), McLachlan & Basford (1988), Lindsay (1995), Böhning (1999), McLachlan & Peel (2000). Also, literature reviews on special topics related to mixtures can be found in the papers by Gupta & Huang (1981) (on ranking and selection topics), Redner & Walker (1984) (on the EM algorithm for finite mixtures) and Titterington (1990); an update of some topics covered in the book by Titterington et al (1985).…”

Section: Introductionmentioning

confidence: 99%

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Mixed Poisson Distributions

Karlis

Xekalaki

2007

International Statistical Review

268

209

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Mixed Poisson distributions have been used in a wide range of scientific fields for modeling nonhomogeneous populations. This paper aims at reviewing the existing literature on Poisson mixtures by bringing together a great number of properties, while, at the same time, providing tangential information on general mixtures. A selective presentation of some of the most prominent members of the family of Poisson mixtures is made.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Mixed Poisson Distributions

Karlis

Xekalaki

2007

International Statistical Review

268

209

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“…To the author's knowledge ( [2], [3] and others), no estimator of mo Keywords: Empirical distribution function, finite mixture, identifiability, mixing cdf.…”

Section: Ha(x)--fr~ F~176mentioning

confidence: 99%

On estimating of the number of constituents of a finite mixture of continuous distributions

Henna

1985

Ann Inst Stat Math

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“…Interesting reviews for finite mixture models are given in the books by Everitt and Hand (1981), McLachlan and Basford (1988), Lindsay and Roeder (1993). Also, literature reviews on special topics related to mixtures can be found in the papers by Gupta and Huang (1981), Redner and Walker (1984), and Titterington (1990). Structural representation of conditional and marginal as in (1) is also used recently by Mathai (2012) to study properties of Krätzel integrals.…”

Section: Introductionmentioning

confidence: 99%

Mixture Models and the Krätzel Integral Transform

Princy

2014

Communications in Statistics - Theory and Methods

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Continuous mixture Weibull models arise in many areas of sciences such as reliability studies, communications theory, etc. Due to its wide applicability, we introduce a class of continuous mixture Weibull models which is a combination of Weibull and generalized gamma distributions. Some characteristics of the distribution are obtained. It is seen that Krätzel integral enters into the model naturally, and then the model can be called as a Krätzel density. Applications of the density function related to fading channels and ultrasonic backscatter signals modeling are discussed. A real data analysis is given to illustrate the use of this distribution.

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On Mixtures of Distributions: A Survey and Some New Results on Ranking and Selection

Cited by 9 publications

References 74 publications

Mixed Poisson Distributions

Mixed Poisson Distributions

On estimating of the number of constituents of a finite mixture of continuous distributions

Mixture Models and the Krätzel Integral Transform

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