Results 221 to 230 of about 212,411 (244)

HEISENBERG–WEYL LIE ALGEBRA AND NATURAL EXPONENTIAL FAMILIES

Infinite Dimensional Analysis, Quantum Probability and Related Topics, 2007
We present in this work a specific construction of raising and lowering operators for 2-orthogonal quasi-monomial polynomials associated with continuous and discrete natural exponential families. We use these operators in order to characterize the real class of cubic natural exponential families.
openaire   +2 more sources

A new bivariate distribution in natural exponential family

Metrika, 2005
We propose a new bivariate distribution following a GLM form i.e., natural exponential family given the constantly correlated covariance matrix. The proposed distribution can represent an independent bivariate gamma distribution as a special case. In order to derive the distribution we utilize an integrating factor method to satisfy the integrability ...
Masakazu Iwasaki, Hiroe Tsubaki
openaire   +1 more source

Inequalities for predictive ratios and posterior variances in natural exponential families

, 1990
The predictive ratio is considered as a measure of spread for the predictive distribution. It is shown that, in the exponential families, ordering according to the predictive ratio is equivalent to ordering according to the posterior covariance matrix of
J. Kadane, I. Olkin, M. Scarsini
semanticscholar   +1 more source

Limit distributions of unbiased estimators in natural exponential families

Statistics, 2002
We obtain the possible limit distributions of unbiased estimators of functions of the parameter of a natural exponential family. The limit distribution depends on j , the order of the first non-zero derivative at the true (but usually unknown) value of the parameter.
F. Lo´pez-Bla´zquez, B. Salamanca-Miño   +1 more
openaire   +1 more source

Natural exponential families associated to Pick functions

Test, 1998
The main purpose of the paper is to study the effect of a quadratic action on some classes of natural exponential families (NEFs) and to use it for deciding on the existence of certain NEFs whose variance functions have the form of Pick functions. Section 2 considers the group \(\text{SL}(2,{\mathbf R})\) of the \(2\times 2\) (invertible) real matrices
openaire   +1 more source

Some characterizations of the natural exponential families in R2 and related Laplace transforms

, 2016
J. Matysiak
semanticscholar   +1 more source

Trace of the Variance-Covariance Matrix in Natural Exponential Families

, 2015
Taher Ben Arab, A. Masmoudi, M. Zribi
semanticscholar   +1 more source

Real natural exponential families and generalized orthogonality

Communications in Statistics - Theory and Methods, 2023
Raouf Fakhfakh, Marwa Hamza
openaire   +1 more source

A compendium of variance functions for real natural exponential families

1994
This item was digitized as part of a project to share McGill's intellectual legacy with the public. If you are the copyright holder or a relative of the copyright holder who is deceased, you may request withdrawal by emailing escholarship.library@mcgill.ca.
openaire   +1 more source

Wavelet shrinkage for natural exponential families with quadratic variance functions

, 2001
A. Antoniadis, T. Sapatinas
semanticscholar   +1 more source