Results 271 to 280 of about 2,121 (306)

Infinitely divisible sequences

Scandinavian Actuarial Journal, 1978
Abstract Sequences and related by the system of equations occur frequently in a number of areas of mathematics, and when they do one is often interested in relating the asymptotic behaviours of the two sequences. In probability theory sequences n , which arise when one has the added conditions b0 > 0 and aj⩾ 0, often occur.
John Hawkes, John D. Jenkins
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On Infinite Divisibility of Convolution and Mapping Kernels

Fundamenta Informaticae, 2017
Determining whether convolution and mapping kernels are always infinitely divisible has been an unsolved problem. The mapping kernel is an important class of kernels and is a generalization of the well-known convolution kernel. The mapping kernel has a wide range of application. In fact, most of kernels known in the literature for discrete data such as
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Infinitely Divisible Distributions

2014
For every n, the normal distribution with expectation μ and variance σ 2 is the nth convolution power of a probability measure (namely of the normal distribution with expectation μ/n and variance σ 2/n). This property is called infinite divisibility and is shared by other probability distributions such as the Poisson distribution and the Gamma ...
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On infinitely divisible multivariate gamma distributions

Communications in Statistics - Theory and Methods, 2023
Stephen G Walker
exaly  

Infinitely Divisible Processes

2016
Infinitely divisible stochastic processes form a broad family whose structure is reasonably well understood. A stochastic process \({\bigl (X(t),\,t \in T\bigr )}\) is said to be infinitely divisible if for every n = 1, 2, …, there is a stochastic process \(\bigl( Y(t),\, t\in T\bigr)\) such ...
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Infinitely Divisible Processes

Theory of Probability & Its Applications, 1970
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Infinitely Divisible Distributions

1975
A distribution function F (x) and the corresponding c.f. f (t) are said to be infinitely divisible if for every positive integer n there exists a c.f. f n (t) such that $$f\left( t \right) = {\left( {{f_n}\left( t \right)} \right)^n}$$ (1.1)
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On Infinitely Divisible Distributions

Theory of Probability & Its Applications, 1975
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Numerical aspects of shot noise representation of infinitely divisible laws and related processes

Probability Surveys, 2021
Reiichiro Kawai
exaly  

Infinite Divisibility of GCD Matrices

The American Mathematical Monthly, 2008
Rajendra Bhatia, J. A. Dias da Silva
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