A central limit theorem is established for stochastic fluctuations of empirical k-tuple frequencies in mutation systems, with an explicit limiting covariance matrix derived via spectral projection and martingale methods.
Origin and evolution of tandem repeats in the mitochondrial dna control region of shrikes (lanius spp.),
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Central Limit Theorem for Mutation Systems
A central limit theorem is established for stochastic fluctuations of empirical k-tuple frequencies in mutation systems, with an explicit limiting covariance matrix derived via spectral projection and martingale methods.