Constructions for Clumps Statistics. [PDF]
We consider a component of the word statistics known as clump; starting from a finite set of words, clumps are maximal overlapping sets of these occurrences. This object has first been studied by Schbath with the aim of counting the number of occurrences
Frédérique Bassino +3 more
doaj +10 more sources
Improvements of Poisson approximation for n-dimensional unit cube random graph [PDF]
This paper uses the Stein-Chen method to obtain uniform and non-uniform bounds in the Poisson approximation for the n-dimensional unit cube random graph. These bounds are re-established under the restriction of Poisson mean λ = 1.
Kanint Teerapabolarn
doaj +1 more source
The Relationship between Social Support and Social Resilience of Flood-Affected Women (Case Study: Delgan City) [PDF]
The aim of this study was to investigate the relationship between social support and social resilience of women affected by floods in Delgan. The statistical population of the study was all urban and rural women over 15 years old affected by the flood of
Abdolhossein Daneshvarinasab +2 more
doaj +1 more source
New bounds on Poisson approximation to the distribution of a sum of negative binomial random variables [PDF]
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
doaj +1 more source
Integral inequalities with an extended Poisson kernel and the existence of the extremals
In this article, we first apply the method of combining the interpolation theorem and weak-type estimate developed in Chen et al. to derive the Hardy-Littlewood-Sobolev inequality with an extended Poisson kernel.
Tao Chunxia, Wang Yike
doaj +1 more source
We are interested in an n by p matrix Xn where the n rows are strictly stationary α-mixing random vectors and each of the p columns is an independent and identically distributed random vector; p=pn goes to infinity as n→∞, satisfiying 00.
Haozhu Zhao, Yong Zhang
doaj +1 more source
A non-uniform bound on Poisson approximation for a sum of negative binomial random variables [PDF]
This paper uses the Stein–Chen method to determine a non-uniform bound on the point metric between the distribution of a sum of independent negative binomial random variables and a Poisson distribution with mean 1 n i i i r q , where r i
Kanint Teerapabolarn
doaj +1 more source
Scanning for Clusters of Large Values in Time Series: Application of the Stein-Chen Method
The purpose of this application paper is to apply the Stein-Chen (SC) method to provide a Poisson-based approximation and corresponding total variation distance bounds in a time series context. The SC method that is used approximates the probability density function (PDF) defined on how many times a pattern such as It,It+1,It+2 = {1 0 1} occurs ...
Tom Burr, Brad Henderson
openaire +2 more sources
Poisson approximation of the length spectrum of random surfaces [PDF]
Multivariate Poisson approximation of the length spectrum of random surfaces is studied by means of the Chen-Stein method. This approach delivers simple and explicit error bounds in Poisson limit theorems.
Petri, Bram, Thaele, Christoph
core +4 more sources
Neck pain among smartphone users: an imminent public health issue during the pandemic time
COVID-19 Pandemic resulted in social mobility and travel restrictions to contain the infection. It has been reported that there happened post-pandemic surge in the use of the internet and social media as people rely on it more often for entertainment ...
Binoy Mathew K V +1 more
doaj +1 more source

