Results 21 to 30 of about 246,303 (282)
Poissonization Principle for a Class of Additive Statistics
Mathematics, 2022 In this paper, we consider a class of additive functionals of a finite or countable collection of the group frequencies of an empirical point process that corresponds to, at most, a countable partition of the sample space.
Igor Borisov, Maman Jetpisbaev
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Compound Poisson Approximations for Sums of Random Variables [PDF]
The Annals of Probability, 1985 We show that a sum of dependent random elements taking values in a semigroup is approximately compound Poisson when the elements are rarely nonzero and, given they are nonzero, their conditional distributions are nearly identical. We give several upper bounds on the total-variation distance between the distribution of such a sum and a compound Poisson ...
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Complementary Gamma Zero-Truncated Poisson Distribution and Its Application
Mathematics, 2023 Numerous lifetime distributions have been developed to assist researchers in various fields. This paper proposes a new continuous three-parameter lifetime distribution called the complementary gamma zero-truncated Poisson distribution (CGZTP), which ...
Ausaina Niyomdecha +1 more
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SOME RESULTS ON r-TRUNCATED DEGENERATE POISSON RANDOM VARIABLES
Fractals, 2022 The zero-truncated Poisson distributions are certain discrete probability distributions whose supports are the set of positive integers, which are also known as the conditional Poisson distributions or the positive Poisson distributions. Recently, as a natural extension of those distributions, Kim–Kim studied the zero-truncated degenerate Poisson ...
Kim, Taekyun +6 more
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Approximation Results for Sums of Independent Random Variables
Revstat Statistical Journal, 2022 In this article, we consider Poisson and Poisson convoluted geometric approximation to the sums of n independent random variables under moment conditions. We use Stein’s method to derive the approximation results in total variation distance.
Pratima Eknath Kadu
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The lower tail: Poisson approximation revisited [PDF]
, 2014 The well-known "Janson's inequality" gives Poisson-like upper bounds for the lower tail probability \Pr(X \le (1-\eps)\E X) when X is the sum of dependent indicator random variables of a special form.
Janson, Svante, Warnke, Lutz
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Umbral nature of the Poisson random variables [PDF]
, 2001 23 ...
DI NARDO, Elvira, D. SENATO PULLANO
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New bounds on Poisson approximation to the distribution of a sum of negative binomial random variables [PDF]
Songklanakarin Journal of Science and Technology (SJST), 2018 The Stein-Chen method is usedto give new bounds, non-uniform bounds, for the distances between the distribution of a sum of independent negative binomial random variables and a Poisson distribution with mean, where ri and pi = 1-qi are parameters of ...
Kanint Teerapabolarn
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Entropy and the Law of Small Numbers [PDF]
, 2004 Two new information-theoretic methods are introduced for establishing Poisson approximation inequalities. First, using only elementary information-theoretic techniques it is shown that, when $S_n=\sum_{i=1}^nX_i$ is the sum of the (possibly dependent ...
Harremoes, Peter +2 more
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Modelling Generalized Poisson Regression in the Number of Dengue Hemorrhagic Fever (DHF) in East Nusa Tenggara [PDF]
E3S Web of Conferences, 2020 Regression analysis is an analysis used to model the relationship between the dependent variable (Y) and the independent variable (X). If the dependent variable is a discrete random variable, it is developed using the Poisson regression model.
Prahutama Alan +2 more
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