Results 21 to 30 of about 854 (209)

New Monotonicity and Infinite Divisibility Properties for the Mittag-Leffler Function and for Stable Distributions

open access: yesMathematics, 2023
Hyperbolic complete monotonicity property (HCM) is a way to check if a distribution is a generalized gamma (GGC), hence is infinitely divisible. In this work, we illustrate to which extent the Mittag-Leffler functions Eα,α∈(0,2], enjoy the HCM property ...
Nuha Altaymani, Wissem Jedidi
doaj   +1 more source

On Some Stationary INAR(1) Processes with Compound Poisson Distributions

open access: yesRevstat Statistical Journal, 2023
Aly and Bouzar ([2]) used the backward approach in presence of the binomial thinning operator to construct underdispersed stationary first-order autoregressive integer valued (INAR (1)) processes.
Emad-Eldin A. A. Aly, Nadjib Bouzar
doaj   +1 more source

FREE INFINITE DIVISIBILITY FOR ULTRASPHERICALS [PDF]

open access: yesInfinite Dimensional Analysis, Quantum Probability and Related Topics, 2013
We prove that the integral powers of the semicircular distribution are freely infinitely divisible. As a byproduct we get another proof of the free infinite divisibility of the classical Gaussian distribution.
Arizmendi, Octavio, Belinschi, Serban T.
openaire   +2 more sources

Wind power calculation based on sums of diffusion method and a novel power curve approximation model

open access: yesCeylon Journal of Science, 2023
Wind energy estimations using wind speed models and power curve approximations are mandatory for the optimal regulation of wind electricity generation.
H. M. D. P. Bandarathilake   +1 more
doaj   +1 more source

Eta-diagonal distributions and infinite divisibility for R-diagonals [PDF]

open access: yes, 2018
This record is for a(n) offprint of an article published in Annales de l'Institut Henri Poincaré, Probabilités et Statistiques on 2018-04-25; the version of record is available at https://doi.org/10.1214/17-AIHP826.The class of $R$-diagonal ...
Nica, Alexandru   +3 more
core   +2 more sources

ON A PROBLEM OF INFINITE DIVISIBILITY

open access: yesJournal of Mathematical Sciences, 2021
Let $f(t)$ be a characteristic function. The question on infinite divisibility of $g_{2k}(t)=f^{(2k)}(t)/f^{(2k)}(0)$ is considered. There are given the condition for that function not to be infinite divisible. Some examples of infinite divisibility of $g_{2k}(t)$ are given.
openaire   +2 more sources

A New Generalization of Weighted Geometric Distribution and its Properties [PDF]

open access: yesJournal of Statistical Theory and Applications (JSTA), 2017
Discrete distributions are widely used to model lifetime for count data. In this paper we introduce a new generalization of weighted geometric (GWG) distribution with the weight function w(x) = (1−p^{αx})^β whose special case proposes a discrete ...
H. Najarzadegan, M. H. Alamatsaz
doaj   +1 more source

Asymptotically Normal Estimators for the Parameters of the Gamma-Exponential Distribution

open access: yesMathematics, 2021
Currently, much research attention has focused on generalizations of known mathematical objects in order to obtain adequate models describing real phenomena.
Alexey Kudryavtsev, Oleg Shestakov
doaj   +1 more source

A product autoregressive model with log-Laplace marginal distribution

open access: yesStatistica, 2013
The log-Laplace distribution and its properties are considered. Some important properties like multiplicative infinite divisibility, geometric multiplicative infinite divisibility and self-decomposability are discussed.
Kanichukattu K. Jose, Manu Mariam Thomas
doaj   +1 more source

Three classes of decomposable distributions

open access: yesOpen Mathematics, 2020
In this work, we refine the results of Sendov and Shan [New representation theorems for completely monotone and Bernstein functions with convexity properties on their measures, J. Theor. Probab.
Jedidi Wissem   +2 more
doaj   +1 more source

Home - About - Disclaimer - Privacy