Compound Poisson and signed compound Poisson approximations to the Markov binomial law
Copyright policy )Compound Poisson and signed compound Poisson approximations to the Markov binomial law
Compound Poisson distributions and signed compound Poisson measures are used for approximation of the Markov binomial distribution. The upper and lower bound estimates are obtained for the total variation, local and Wasserstein norms. In a special case, asymptotically sharp constants are calculated. For the upper bounds, the smoothing properties of compound Poisson distributions are applied. For the lower bound estimates, the characteristic function method is used.
Published in at http://dx.doi.org/10.3150/09-BEJ246 the Bernoulli (http://isi.cbs.nl/bernoulli/) by the International Statistical Institute/Bernoulli Society (http://isi.cbs.nl/BS/bshome.htm)
Analysis of variance and covariance (ANOVA), compound Poisson approximation, Mathematics - Statistics Theory, Statistics Theory (math.ST), local norm, geometric distribution, total variation norm, Wasserstein norm, FOS: Mathematics, Probability distributions: general theory, Markov binomial distribution, signed compound Poisson measure
Analysis of variance and covariance (ANOVA), compound Poisson approximation, Mathematics - Statistics Theory, Statistics Theory (math.ST), local norm, geometric distribution, total variation norm, Wasserstein norm, FOS: Mathematics, Probability distributions: general theory, Markov binomial distribution, signed compound Poisson measure
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).9 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Top 10% impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!