Results 1 to 10 of about 246,204 (183)
On degenerate Poisson random variable
Mathematical and Computer Modelling of Dynamical SystemsIn this paper, we delve into the intricate properties of degenerate Poisson random variables, exploring their moment generating function, the law of large numbers, and the central limit theorem.
Mikyoung Ha, Suhyun Lee, Youngsoo Seol
doaj +4 more sources
Degenerate binomial and Poisson random variables associated with degenerate Lah-Bell polynomials
Open Mathematics, 2021 The aim of this paper is to study the Poisson random variables in relation to the Lah-Bell polynomials and the degenerate binomial and degenerate Poisson random variables in connection with the degenerate Lah-Bell polynomials. Among other things, we show
Kim Taekyun +3 more
doaj +2 more sources
Pattern Avoidance for Random Permutations [PDF]
Discrete Mathematics & Theoretical Computer Science, 2018 Using techniques from Poisson approximation, we prove explicit error bounds on the number of permutations that avoid any pattern. Most generally, we bound the total variation distance between the joint distribution of pattern occurrences and a ...
Harry Crane, Stephen DeSalvo
doaj +3 more sources
A remark on the fluctuation behavior of I.I.D. Poisson random variables
Statistics and Probability Letters, 1983 Abstract An iterated logarithm law is obtained for the almost certain fluctuation behavior of i.i.d. Poisson random variables.
Andrew Rosalsky
exaly +4 more sources
Nonuniform estimates in the approximation by the Poisson law
Lietuvos Matematikos Rinkinys, 2023 Poisson approximation for the sum of independent random variables is investigates in this paper.
Kazimieras Padvelskis
doaj +3 more sources
Degenerate Zero-Truncated Poisson Random Variables [PDF]
Russian Journal of Mathematical Physics, 2021 12
Kim, T., Kim, D. S.
openaire +2 more sources
Fully degenerate Bell polynomials associated with degenerate Poisson random variables
Open Mathematics, 2021 Many mathematicians have studied degenerate versions of quite a few special polynomials and numbers since Carlitz’s work (Utilitas Math. 15 (1979), 51–88). Recently, Kim et al.
Kim Hye Kyung
doaj +1 more source
Upper-bound estimates for weighted sums satisfying Cramer’s condition
Lietuvos Matematikos Rinkinys, 2023 Let S = ω1S1 + ω2S2 + ⋯ + ωNSN. Here Sj is the sum of identically distributed random variables and ωj > 0 denotes weight. We consider the case, when Sj is the sum of independent random variables satisfying Cramer’s condition.
Vydas Čekanavičius, Aistė Elijio
doaj +3 more sources
Dependence on a collection of Poisson random variables [PDF]
Statistical Methods & Applications, 2021 We propose two novel ways of introducing dependence among Poisson counts through the use of latent variables in a three levels hierarchical model. Marginal distributions of the random variables of interest are Poisson with strict stationarity as special case.
openaire +2 more sources
A Note on the Right Truncated Weibull Distribution and the Minimum of Power Function Distributions
Revstat Statistical Journal, 2022 In this note, the right truncated Weibull distribution is derived as the distribution of the minimum of a random number of independent and identically distributed random variables.
Pedro Jodrá
doaj +1 more source