Results 241 to 250 of about 8,012,542 (291)

Natural exponential families and self-decomposability

Statistics and Probability Letters, 1992
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shaul Bar-Lev, Gérard Letac, Daoud Bshouty   +2 more
exaly   +2 more sources

Haight's distributions as a natural exponential family

Statistics and Probability Letters, 1988
In an index to the distributions of mathematical statistics, \textit{F. A. Haight} [J. Res. Nat. Bureau of Standards 65B(1), 23-60 (1961)] considers, without giving any references, the following distribution: \[ \alpha^{-1}\exp (-xe^{\alpha}\alpha^{- 1})\sum^{\infty}_{n=0}(n+1)^{n-1}(n!)^{-2}x^ n\mathbf{1}_{(0,\infty)}(x)dx\quad for\quad ...
Letac, Gérard, Seshadri, V.
exaly   +2 more sources

On the ${q}$-Continuous Natural Exponential Family

Theory of Probability and Its Applications
В 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 $e^{\theta x}$.
exaly   +2 more sources

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.
exaly   +3 more sources

Cuts in Natural Exponential Families

Theory of Probability & Its Applications, 1996
The concept of cuts [\textit{O. E. Barndorff-Nielsen}, Exponential families and conditioning. Sc. D. Thesis, Univ. Copenhagen (1973; Zbl 0297.62001)], which is intimately connected to the concepts of \(S\)-ancillarity and \(S\)-sufficiency, has been studied in the context of general exponential families.
Barndorff-Nielsen, O. E., Koudou, A. E.
openaire   +3 more sources

A note on natural exponential families with cuts

Statistics & Probability Letters, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bar-Lev, Shaul K., Pommeret, Denys
openaire   +2 more sources

Laplace Approximations for Natural Exponential Families with Cuts

Scandinavian Journal of Statistics, 1998
Standard and fully exponential form Laplace approximations to marginal densities are described and conditions under which these give exact answers are investigated. A general result is obtained and is subsequently applied in the case of natural exponential families with cuts, in order to derive the marginal posterior density of the mean parameter ...
Efstathiou, M., Gutiérrez-Peña, E., Smith, A. F. M.   +2 more
openaire   +2 more sources

The Lindsay transform of natural exponential families

Canadian Journal of Statistics, 1994
AbstractLet μ be an infinitely divisible positive measure on R. If the measure ρμ is such that x‐2[ρμ(dx)—ρμ({0})δ0(dx)] is the Lévy measure associated with μ and is infinitely divisible, we consider for all positive reals α and β the measure Tα,β(μ) which is the convolution of μ*α and ρμ*β.
Kokonendji, C. C., Seshadri, V.
openaire   +1 more source

New q-general natural exponential family

Communications in Statistics Part B: Simulation and Computation
Nahla Ben Salah
exaly   +2 more sources

Natural Exponential Families and Umbral Calculus

1998
We use the Umbral Calculus to investigate the relation between natural exponential families and Sheffer polynomials. As a corollary, we obtain a new transparent proof of Feinsilver’s theorem which says that natural exponential families have a quadratic variance function if and only if their associated Sheffer polynomials are orthogonal.
Di Bucchianico, A., Loeb, D.E.
openaire   +2 more sources