Results 11 to 20 of about 322 (196)
FREE INFINITE DIVISIBILITY FOR ULTRASPHERICALS [PDF]
Infinite 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.
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On Some Stationary INAR(1) Processes with Compound Poisson Distributions
Revstat 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
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Wind power calculation based on sums of diffusion method and a novel power curve approximation model
Ceylon 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
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ON A PROBLEM OF INFINITE DIVISIBILITY
Journal 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.
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A New Generalization of Weighted Geometric Distribution and its Properties [PDF]
Journal 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
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A product autoregressive model with log-Laplace marginal distribution
Statistica, 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
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Three classes of decomposable distributions
Open 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
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Asymptotically Normal Estimators for the Parameters of the Gamma-Exponential Distribution
Mathematics, 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
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On the infinite divisibility of distributions of some inverse subordinators
Modern Stochastics: Theory and Applications, 2018 We consider the infinite divisibility of distributions of some well-known inverse subordinators. Using a tail probability bound, we establish that distributions of many of the inverse subordinators used in the literature are not infinitely divisible.
Arun Kumar, Erkan Nane
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