Results 11 to 20 of about 13,348,367 (183)
A Note on the Distribution of the Extreme Degrees of a Random Graph Via the Stein-Chen Method [PDF]
AbstractWe offer an alternative proof, using the Stein-Chen method, of Bollobás’ theorem concerning the distribution of the extreme degrees of a random graph. Our proof also provides a rate of convergence of the extreme degree to its asymptotic distribution.
Malinovsky, Yaakov
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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
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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
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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
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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
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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
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Goodness-of-fit tests for Poisson count time series based on the Stein–Chen identity
This is an open access article under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0/).To test the null hypothesis of a Poisson marginal distribution, test statistics based on the Stein–Chen identity are
Aleksandrov, Boris +2 more
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On the constant in the nonuniform version of the Berry-Esseen theorem
In 2001, Chen and Shao gave the nonuniform estimation of the rate of convergence in Berry-Esseen theorem for independent random variables via Stein-Chen-Shao method.
K. Neammanee
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An Alternative Proof for the Expected Number of Distinct Consecutive Patterns in a Random Permutation [PDF]
Let $\pi_n$ be a uniformly chosen random permutation on $[n]$. Using an analysis of the probability that two overlapping consecutive $k$-permutations are order isomorphic, the authors of a recent paper showed that the expected number of distinct ...
Anant Godbole, Hannah Swickheimer
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Einleitung zu dem Reichs-Hof-Raths-Proceß
Vorlageform des Erscheinungsvermerks: Franckfurth und Leipzig, Bey Johann Stein, An ...
Moser, Johann Jacob
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