Results 21 to 30 of about 38,827 (274)

Measure Concentration for Compound Poisson Distributions

Electronic Communications in Probability, 2006
We give a simple development of the concentration properties of compound Poisson measures on the nonnegative integers. A new modification of the Herbst argument is applied to an appropriate modified logarithmic-Sobolev inequality to derive new concentration bounds.
Kontoyiannis, Ioannis, Madiman, Mokshay
openaire   +3 more sources

Fast and exact quantification of motif occurrences in biological sequences

BMC Bioinformatics, 2021
Background Identification of motifs and quantification of their occurrences are important for the study of genetic diseases, gene evolution, transcription sites, and other biological mechanisms. Exact formulae for estimating count distributions of motifs
Mattia Prosperi, Simone Marini, Christina Boucher   +2 more
doaj   +1 more source

Julius Kruopis – the pioneer of applied statistics in Lithuania

Lithuanian Journal of Statistics, 2023
Julius Kruopis was born on 21.02.1941 in Utena district. In 1963 he graduated from Vilnius University,  Faculty of Physics and Mathematics. In 1964–1966 he worked as a  trainee lecturer at the Department of Probability Theory and Number Theory of the ...
Vilijandas Bagdonavičius, Vydas Čekanavičius, Rūta Levulienė, Pranas Vaitkus   +3 more
doaj   +3 more sources

Clan Structure Analysis and Rapidity Gap Probability [PDF]

, 1994
Clan structure analysis in rapidity intervals is generalized from negative binomial multiplicity distribution to the wide class of compound Poisson distributions.
A. Breakstone, A. Capella, A. Giovannini, A. Giovannini, C. Fuglesang, E.A. Wolf De, F. Bianchi, F. Rimondi, G.J. Alner, G.J.H. Burgers, J. Cugnon, J.D. Bjorken, J.D. Bjorken, L. Hove Van, M. Arneodo, M. Biyajima, M. Derrick, M. Derrick, N. Schmitz, N.L. Johnson, P. Abreu, P. Carruthers, P. Carruthers, P. Carruthers, R. Ugoccioni, R.E. Ansorge, S. Abachi, S. Giovannini, S. Hegyi, S. Hegyi, S. Lupia, S. Lupia   +31 more
core   +3 more sources

The Jackson Queueing Network Model Built Using Poisson Measures. Application To A Bank Model

Folia Oeconomica Stetinensia, 2014
In this paper we will build a bank model using Poisson measures and Jackson queueing networks. We take into account the relationship between the Poisson and the exponential distributions, and we consider for each credit/deposit type a node where shocks ...
Ciuiu Daniel
doaj   +1 more source

Log-concavity, ultra-log-concavity, and a maximum entropy property of discrete compound Poisson measures

, 2011
Sufficient conditions are developed, under which the compound Poisson distribution has maximal entropy within a natural class of probability measures on the nonnegative integers. Recently, one of the authors [O. Johnson, {\em Stoch. Proc.
Adelson, Artstein, Barbour, Barbour, Barron, Bobkov, Borcea, Brenti, Brightwell, Cai, Chafaï, Chudnovsky, Cover, Cover, de Pril, Flajolet, Fortuin, Gnedenko, Gurvits, Hamidoune, Hansen, Harremoës, Harris, Ioannis Kontoyiannis, Jacquet, Johnson, Johnson, Johnson, Kahn, Kahn, Kahn, Karlin, Katti, Keilson, Keilson, Kleitman, Kleitman, Knessl, Kontoyiannis, Liggett, Madiman, Mason, Mateev, Mokshay Madiman, Oliver Johnson, Panjer, Pemantle, Penrose, Radhakrishnan, Sha, Shepp, Stanley, Steutel, Tulino, Wagner, Wang, Yu, Zhao   +57 more
core   +1 more source

Approximating the distributions of runs and patterns [PDF]

, 2014
The distribution theory of runs and patterns has been successfully used in a variety of applications including, for example, nonparametric hypothesis testing, reliability theory, quality control, DNA sequence analysis, general applied probability and ...
Brad C Johnson, James C Fu
core   +1 more source

Characterization of Probability Distributions via Functional Equations of Power-Mixture Type

Mathematics, 2021
We study power-mixture type functional equations in terms of Laplace–Stieltjes transforms of probability distributions on the right half-line [0,∞).
Chin-Yuan Hu, Gwo Dong Lin, Jordan M. Stoyanov   +2 more
doaj   +1 more source

Compound Poisson and signed compound Poisson approximations to the Markov binomial law

, 2010
Compound Poisson distributions and signed compound Poisson measures are used for approximation of the Markov binomial distribution. The upper and lower bound estimates are obtained for the total variation, local and Wasserstein norms.
Vellaisamy, P., Čekanavičius, V.
core   +1 more source

Compound bi-free Poisson distributions [PDF]

Infinite Dimensional Analysis, Quantum Probability and Related Topics, 2019
In this paper, we study compound bi-free Poisson distributions for two-faced families of random variables. We prove a Poisson limit theorem for compound bi-free Poisson distributions. Furthermore, a bi-free infinitely divisible distribution for a two-faced family of self-adjoint random variables can be realized as the limit of a sequence of compound ...
openaire   +3 more sources