On binomial thinning and mixing

Offer Kella; Andreas Löpker

doi:10.1016/j.indag.2022.09.003

On binomial thinning and mixing

Offer Kella^*, Andreas Löpker

^*Corresponding author for this work

Department of Statistics

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

In this paper we consider the notions of binomial thinning, binomial mixing, their generalizations, certain interplay between them, associated limit theorems and provide various examples.

Original language	American English
Pages (from-to)	1121-1145
Number of pages	25
Journal	Indagationes Mathematicae
Volume	34
Issue number	5
DOIs	https://doi.org/10.1016/j.indag.2022.09.003
State	Published - Sep 2023

Bibliographical note

Funding Information:
Supported in part by grant No. 1647/17 from the Israel Science Foundation and the Vigevani Chair in Statistics.

Publisher Copyright:
© 2022 Royal Dutch Mathematical Society (KWG)

Keywords

Alternate probability generating function
Binomial mixture
Binomial thinning

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10.1016/j.indag.2022.09.003

Cite this

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title = "On binomial thinning and mixing",

abstract = "In this paper we consider the notions of binomial thinning, binomial mixing, their generalizations, certain interplay between them, associated limit theorems and provide various examples.",

keywords = "Alternate probability generating function, Binomial mixture, Binomial thinning",

author = "Offer Kella and Andreas L{\"o}pker",

note = "Funding Information: Supported in part by grant No. 1647/17 from the Israel Science Foundation and the Vigevani Chair in Statistics. Publisher Copyright: {\textcopyright} 2022 Royal Dutch Mathematical Society (KWG)",

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language = "American English",

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AU - Kella, Offer

AU - Löpker, Andreas

N1 - Funding Information: Supported in part by grant No. 1647/17 from the Israel Science Foundation and the Vigevani Chair in Statistics. Publisher Copyright: © 2022 Royal Dutch Mathematical Society (KWG)

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N2 - In this paper we consider the notions of binomial thinning, binomial mixing, their generalizations, certain interplay between them, associated limit theorems and provide various examples.

AB - In this paper we consider the notions of binomial thinning, binomial mixing, their generalizations, certain interplay between them, associated limit theorems and provide various examples.

KW - Alternate probability generating function

KW - Binomial mixture

KW - Binomial thinning

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U2 - 10.1016/j.indag.2022.09.003

DO - 10.1016/j.indag.2022.09.003

M3 - Article

AN - SCOPUS:85139726894

SN - 0019-3577

VL - 34

SP - 1121

EP - 1145

JO - Indagationes Mathematicae

JF - Indagationes Mathematicae

IS - 5

ER -

On binomial thinning and mixing

Abstract

Bibliographical note

Keywords

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