Sums of possibly associated multivariate indicator functions: The Conway–Maxwell-Multinomial distribution

Joseph B. Kadane; Zhi Wang

doi:10.1214/17-BJPS355

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Home > Journals > Braz. J. Probab. Stat. > Volume 32 > Issue 3 > Article

August 2018 Sums of possibly associated multivariate indicator functions: The Conway–Maxwell-Multinomial distribution

Joseph B. Kadane, Zhi Wang

Braz. J. Probab. Stat. 32(3): 583-596 (August 2018). DOI: 10.1214/17-BJPS355

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Abstract

The Conway–Maxwell-Multinomial distribution is studied in this paper. Its properties are demonstrated, including sufficient statistics and conditions for the propriety of posterior distributions derived from it. An application is given using data from Mendel’s ground-breaking genetic studies.

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Joseph B. Kadane. Zhi Wang. "Sums of possibly associated multivariate indicator functions: The Conway–Maxwell-Multinomial distribution." Braz. J. Probab. Stat. 32 (3) 583 - 596, August 2018. https://doi.org/10.1214/17-BJPS355

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Received: 1 July 2016; Accepted: 1 February 2017; Published: August 2018

First available in Project Euclid: 8 June 2018

zbMATH: 06930040

MathSciNet: MR3812383

Digital Object Identifier: 10.1214/17-BJPS355

Keywords: Conjugate prior distributions , Natural exponential family , proper prior distributions

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Vol.32 • No. 3 • August 2018

Brazilian Statistical Association

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Joseph B. Kadane, Zhi Wang "Sums of possibly associated multivariate indicator functions: The Conway–Maxwell-Multinomial distribution," Brazilian Journal of Probability and Statistics, Braz. J. Probab. Stat. 32(3), 583-596, (August 2018)

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