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 | |
| State | Published - Feb 1 1996 |
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All Science Journal Classification (ASJC) codes
- Statistics and Probability
- Statistics, Probability and Uncertainty
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Total positivity properties of the bivariate diagonal natural exponential families. / Lu, I. Li; Richards, Donald.
In: Statistics and Probability Letters, Vol. 26, No. 2, 01.02.1996, p. 119-124.Research output: Contribution to journal › Article
TY - JOUR
T1 - Total positivity properties of the bivariate diagonal natural exponential families
AU - Lu, I. Li
AU - Richards, Donald
PY - 1996/2/1
Y1 - 1996/2/1
N2 - 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.
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.
UR - http://www.scopus.com/inward/record.url?scp=0030079259&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0030079259&partnerID=8YFLogxK
U2 - 10.1016/0167-7152(94)00261-4
DO - 10.1016/0167-7152(94)00261-4
M3 - Article
AN - SCOPUS:0030079259
VL - 26
SP - 119
EP - 124
JO - Statistics and Probability Letters
JF - Statistics and Probability Letters
SN - 0167-7152
IS - 2
ER -