On lower bounds for Poisson approximation to 2-runs statistic
Articles
Jūratė Petrauskienė
Vilnius University
Vydas Čekanavičius
Vilnius University
Published 2010-12-21
https://doi.org/10.15388/LMR.2010.85
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Keywords

2-runs
compound Poisson distribution
m-dependent variables
uniform Kolmogorov norm
local norm

How to Cite

Petrauskienė J. and Čekanavičius V. (2010) “On lower bounds for Poisson approximation to 2-runs statistic”, Lietuvos matematikos rinkinys, 51(proc. LMS), pp. 470–474. doi: 10.15388/LMR.2010.85.

Abstract

Two-runs statistic is approximated by various compound Poisson distributions and second order asymptotic expansions. Estimates of lower bounds are obtained for the uniform Kolmogorov and local metrics.

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