Open AccessOn lower bounds for Poisson approximation to 2-runs statistic
Author(s) -
Jūratė Petrauskienė,
Vydas Čekanavičius
Publication year - 2010
Publication title -
lietuvos matematikos rinkinys
Language(s) - English
Resource type - Journals
eISSN - 2335-898X
pISSN - 0132-2818
DOI - 10.15388/lmr.2010.85
Subject(s) - poisson distribution , statistic , mathematics , order statistic , zero inflated model , statistics , quantile , compound poisson process , poisson regression , poisson process , population , demography , sociology
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.