Number of appearances of events in random sequences: A new approach to non-overlapping runs |
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| Authors: | Yong Kong |
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| Institution: | 1. Department of Molecular Biophysics and Biochemistry, W.M. Keck Foundation Biotechnology Resource Laboratory, Yale University, New Haven, CT, USAyong.kong@yale.edu |
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| Abstract: | ABSTRACTDistributions 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. |
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| Keywords: | Generating function Asymptotic distributions Runs statistics Matrix |
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