Results 21 to 30 of about 854 (209)
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
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On Some Stationary INAR(1) Processes with Compound Poisson Distributions
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
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FREE INFINITE DIVISIBILITY FOR ULTRASPHERICALS [PDF]
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.
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Wind power calculation based on sums of diffusion method and a novel power curve approximation model
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
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Eta-diagonal distributions and infinite divisibility for R-diagonals [PDF]
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
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ON A PROBLEM OF INFINITE DIVISIBILITY
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.
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A New Generalization of Weighted Geometric Distribution and its Properties [PDF]
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
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Asymptotically Normal Estimators for the Parameters of the Gamma-Exponential Distribution
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
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A product autoregressive model with log-Laplace marginal distribution
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
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Three classes of decomposable distributions
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
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