Affinity in paired event probability

Stephen Blythe; Stavros Busenberg; Carlos Castillo-Chavez

doi:10.1016/0025-5564(94)00075-B

Affinity in paired event probability

Stephen Blythe, Stavros Busenberg, Carlos Castillo-Chavez

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

12 Scopus citations

Abstract

It is shown that a general parametric functional generates the conditional and joint probabilities of event pairs when the order within paired events is irrelevant. The parameters represent affinities or associations between single events. If the marginal probabilities of the single events are known, then these parameters specify a hypersurface on which all the joint probabilities of event pairs must lie. Examples are presented, and applications in probability, ecology, epidemiology, genetics, and distribution theory are offered.

Original language	English (US)
Pages (from-to)	265-284
Number of pages	20
Journal	Mathematical Biosciences
Volume	128
Issue number	1-2
DOIs	https://doi.org/10.1016/0025-5564(94)00075-B
State	Published - 1995
Externally published	Yes

ASJC Scopus subject areas

Statistics and Probability
Modeling and Simulation
Biochemistry, Genetics and Molecular Biology(all)
Immunology and Microbiology(all)
Agricultural and Biological Sciences(all)
Applied Mathematics

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10.1016/0025-5564(94)00075-B

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title = "Affinity in paired event probability",

abstract = "It is shown that a general parametric functional generates the conditional and joint probabilities of event pairs when the order within paired events is irrelevant. The parameters represent affinities or associations between single events. If the marginal probabilities of the single events are known, then these parameters specify a hypersurface on which all the joint probabilities of event pairs must lie. Examples are presented, and applications in probability, ecology, epidemiology, genetics, and distribution theory are offered.",

author = "Stephen Blythe and Stavros Busenberg and Carlos Castillo-Chavez",

note = "Funding Information: S. P. Blythe's research has been partially supported by funds from the Office of the Dean of the College of Agriculture and Life Sciences at Cornell University and the Wellcome Trust. This research has also been partially supported by NSF grant DMS-9112821 to Stavros Busenberg and by NSF grant DMS-8906580, DEB-9253570 (Presidential Faculty Fellowship Award), and Hatch Project grant NYC 151-409, USDA to C. Castillo-Chavez. This research is also partially supported by the U.S. Army Research Office through the Mathematical Sciences Institute at Cornell University (contract DAAL03-91-C-O027). This research was completed while C. Castillo-Chavez was a visiting member of the Isaac Newton Institute, Cambridge University.",

year = "1995",

doi = "10.1016/0025-5564(94)00075-B",

language = "English (US)",

volume = "128",

pages = "265--284",

journal = "Mathematical Biosciences",

issn = "0025-5564",

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TY - JOUR

T1 - Affinity in paired event probability

AU - Blythe, Stephen

AU - Busenberg, Stavros

AU - Castillo-Chavez, Carlos

N1 - Funding Information: S. P. Blythe's research has been partially supported by funds from the Office of the Dean of the College of Agriculture and Life Sciences at Cornell University and the Wellcome Trust. This research has also been partially supported by NSF grant DMS-9112821 to Stavros Busenberg and by NSF grant DMS-8906580, DEB-9253570 (Presidential Faculty Fellowship Award), and Hatch Project grant NYC 151-409, USDA to C. Castillo-Chavez. This research is also partially supported by the U.S. Army Research Office through the Mathematical Sciences Institute at Cornell University (contract DAAL03-91-C-O027). This research was completed while C. Castillo-Chavez was a visiting member of the Isaac Newton Institute, Cambridge University.

PY - 1995

Y1 - 1995

N2 - It is shown that a general parametric functional generates the conditional and joint probabilities of event pairs when the order within paired events is irrelevant. The parameters represent affinities or associations between single events. If the marginal probabilities of the single events are known, then these parameters specify a hypersurface on which all the joint probabilities of event pairs must lie. Examples are presented, and applications in probability, ecology, epidemiology, genetics, and distribution theory are offered.

AB - It is shown that a general parametric functional generates the conditional and joint probabilities of event pairs when the order within paired events is irrelevant. The parameters represent affinities or associations between single events. If the marginal probabilities of the single events are known, then these parameters specify a hypersurface on which all the joint probabilities of event pairs must lie. Examples are presented, and applications in probability, ecology, epidemiology, genetics, and distribution theory are offered.

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VL - 128

SP - 265

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JO - Mathematical Biosciences

JF - Mathematical Biosciences

IS - 1-2

ER -

Affinity in paired event probability

Abstract

ASJC Scopus subject areas

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