Uniform and α-Monotone Discrete Distributions Article Swipe
In this partly expository article, I am concerned with some simple yet fundamental aspects of discrete distributions that are either uniform or have α-monotone probability mass functions. In the univariate case, building on work of F.W. Steutel published in 1988, I look at Khintchine’s theorem for discrete monotone distributions in terms of mixtures of discrete uniform distributions, along with similar results for discrete α-monotone distributions. In the multivariate case, I develop a new general family of multivariate discrete distributions with uniform marginal distributions associated with copulas and consider families of multivariate discrete distributions with α-monotone marginals associated with these.
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Metadata
- Type
- article
- Language
- en
- Landing Page
- https://doaj.org/article/dec3623a91934a3c80bb8878b0edad8e
- OA Status
- green
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- 10
- OpenAlex ID
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All OpenAlex metadata
Raw OpenAlex JSON
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https://openalex.org/W4376634079Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.57805/revstat.v20i4.381Digital Object Identifier
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Uniform and α-Monotone Discrete DistributionsWork title
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articleOpenAlex work type
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enPrimary language
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2022Year of publication
- Publication date
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2022-01-16Full publication date if available
- Authors
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M. C. JonesList of authors in order
- Landing page
-
https://doaj.org/article/dec3623a91934a3c80bb8878b0edad8ePublisher landing page
- Open access
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YesWhether a free full text is available
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-
greenOpen access status per OpenAlex
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https://doaj.org/article/dec3623a91934a3c80bb8878b0edad8eDirect OA link when available
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Monotone polygon, Mathematics, Applied mathematics, Pure mathematics, GeometryTop concepts (fields/topics) attached by OpenAlex
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0Total citation count in OpenAlex
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10Other works algorithmically related by OpenAlex
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