Number of appearances of events in random sequences: A new approach to non-overlapping runs

Yong Kong

Communications in Statistics - Theory and Methods, 2016, vol. 45, issue 22, 6765-6772

Abstract: Distributions of non-overlapping runs in multistate systems are derived using a new generating function (GF) approach, which has been applied previously mainly to exact length runs. By utilizing this method, univariate and multivariate joint distributions of non-overlapping runs are derived in a unified way. The GF approach also leads naturally to the asymptotic Gaussian distributions, with the mean, variance, and covariance linear in the size of the system.

Date: 2016
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DOI: 10.1080/03610926.2014.968728

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