Results 11 to 20 of about 475,253 (253)
On a Method of Introducing Free-Infinitely Divisible Probability Measures
Demonstratio Mathematica, 2016 Random integral mappings give isomorphism between the subsemigroups of the classical (I D, *) and the free-infinite divisible (I D, ⊞) probability measures.
Jurek Zbigniew J.
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On the Preservation of Infinite Divisibility under Length-Biasing [PDF]
, 2014 The law of has distribution function and first moment . The law of the length-biased version of has by definition the distribution function . It is known that is infinitely divisible if and only if , where is independent of . Here we assume this relation
A. Pakes
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Infinitely divisible Gibbs States [PDF]
Rocky Mountain Journal of Mathematics, 1984 The author explores a notion of infinite divisibility for Gibbs states which is based on the structure of the configuration space for lattice systems as a direct product of cyclic groups of order two. Many simple examples are given to show that such infinitely divisible measures do exist. Partial solutions to several problems are given.
Ed Waymire
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NOTE ON THE p-DIVISIBILITY OF CLASS NUMBERS OF AN INFINITE FAMILY OF IMAGINARY QUADRATIC FIELDS
Glasgow Mathematical Journal, 2021 For any odd prime p, we construct an infinite family of imaginary quadratic fields whose class numbers are divisible by p. We give a corollary that settles Iizuka’s conjecture for the case n=1 and p>2.
S. Krishnamoorthy +1 more
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Mathematics, 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
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On the Notion of Reproducibility and Its Full Implementation to Natural Exponential Families
Mathematics, 2021 Let F=Fθ:θ∈Θ⊂R be a family of probability distributions indexed by a parameter θ and let X1,⋯,Xn be i.i.d. r.v.’s with L(X1)=Fθ∈F. Then, F is said to be reproducible if for all θ∈Θ and n∈N, there exists a sequence (αn)n≥1 and a mapping gn:Θ→Θ,θ⟼gn(θ ...
Shaul K. Bar-Lev
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Branching trees I: concatenation and infinite divisibility [PDF]
Electronic Journal of Probability, 2016 The goal of this work is to decompose random populations with a genealogy in subfamilies of a given degree of kinship and to obtain a notion of infinitely divisible genealogies.
P. Gloede, A. Greven, Thomas Rippl
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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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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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