Total positivity properties of the bivariate diagonal natural exponential families

I. Li Lu; Donald Richards

doi:10.1016/0167-7152(94)00261-4

Total positivity properties of the bivariate diagonal natural exponential families

I. Li Lu, Donald Richards

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Abstract

The diagonal natural exponential families (NEFs) on ℝⁿ were defined and classified recently by Bar-Lev et al. (1994). In this paper, we apply explicit formulas for the Mehler kernels of certain bivariate diagonal NEF classes to develop the total positivity properties of these NEFs and the variation-diminishing properties of their Mehler kernels.

Original language	English (US)
Pages (from-to)	119-124
Number of pages	6
Journal	Statistics and Probability Letters
Volume	26
Issue number	2
DOIs	https://doi.org/10.1016/0167-7152(94)00261-4
State	Published - Feb 1 1996

All Science Journal Classification (ASJC) codes

Statistics and Probability
Statistics, Probability and Uncertainty

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10.1016/0167-7152(94)00261-4

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title = "Total positivity properties of the bivariate diagonal natural exponential families",

abstract = "The diagonal natural exponential families (NEFs) on ℝn were defined and classified recently by Bar-Lev et al. (1994). In this paper, we apply explicit formulas for the Mehler kernels of certain bivariate diagonal NEF classes to develop the total positivity properties of these NEFs and the variation-diminishing properties of their Mehler kernels.",

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AB - The diagonal natural exponential families (NEFs) on ℝn were defined and classified recently by Bar-Lev et al. (1994). In this paper, we apply explicit formulas for the Mehler kernels of certain bivariate diagonal NEF classes to develop the total positivity properties of these NEFs and the variation-diminishing properties of their Mehler kernels.

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JO - Statistics and Probability Letters

JF - Statistics and Probability Letters

SN - 0167-7152

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ER -

Total positivity properties of the bivariate diagonal natural exponential families

Abstract

All Science Journal Classification (ASJC) codes

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