Results 221 to 230 of about 54,704 (250)
Some of the next articles are maybe not open access.
Natural Exponential Families and Generalized Hypergeometric Measures
Communications in Statistics - Theory and Methods, 2008Letbe a positive Borel measure on R n and pFq(a1,... ,ap;b1,... ,bq;s) be a generalized hypergeometric series. We define a generalized hypergeomet- ric measure, µp,q := pFq(a1,... ,ap;b1,... ,bq; ), as a series of convolution powers of the measure , and we investigate classes of probability distri- butions which are expressible as such a measure.
I-Li Lu, Donald St. P. Richards
openaire +1 more source
On the $q$-continuous natural exponential family
Теория вероятностей и ее примененияВ этой статье мы представляем концепцию $q$-натуральных экспоненциальных семейств в рамках $q$-исчисления, которое расширяет классическое понятие, используя $q$-ядро $e_q^{\theta x f(x)^{q-1}}$ вместо традиционного экспоненциального ядра $e^{\theta x}$.
openaire +1 more source
Inverse Natural Exponential Families on Jr
1994Abstract Recall that in Chapter 1, Section 1.4 we promised an explanation of the term ‘inverse’ appearing in the inverse Gaussian distribution. We shall now offer an explanation and justification of this usage by introducing the concept of inverse pairs of distributions (measures) and natural exponential families on R The ideas were ...
openaire +1 more source
HEISENBERG–WEYL LIE ALGEBRA AND NATURAL EXPONENTIAL FAMILIES
Infinite Dimensional Analysis, Quantum Probability and Related Topics, 2007We 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, 2005We 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
Conditionally Reducible Natural Exponential Families and Enriched Conjugate Priors
Scandinavian Journal of Statistics, 2001Consider a standard conjugate family of prior distributions for a vector‐parameter indexing an exponential family. Two distinct model parameterizations may well lead to standard conjugate families which are not consistent, i.e. one family cannot be derived from the other by the usual change‐of‐variable technique.
G. CONSONNI, VERONESE, PIERO
openaire +2 more sources
On the mean value parametrization of natural exponential families — a revisited review
Mathematical Methods of Statistics, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bar-Lev, S. K., Kokonendji, Célestin C.
openaire +2 more sources
Limit distributions of unbiased estimators in natural exponential families
Statistics, 2002We 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 +1 more
openaire +1 more source
Natural exponential families associated to Pick functions
Test, 1998The 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
Posterior variance for quadratic natural exponential families
Statistics & Probability Letters, 2001zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +1 more source