A central limit theorem is established for homozygosity statistics of the hierarchical Pitman-Yor process, yielding explicit asymptotic variances that highlight power-law effects.
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A quenched functional central limit theorem is proved for component counts in Ewens-Pitman partitions, showing fluctuations split into two conditionally independent sources given alpha-diversity.
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Central limit theorem for the homozygosity of the hierarchical Pitman-Yor process
A central limit theorem is established for homozygosity statistics of the hierarchical Pitman-Yor process, yielding explicit asymptotic variances that highlight power-law effects.
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On central limit theorems for Ewens-Pitman model
A quenched functional central limit theorem is proved for component counts in Ewens-Pitman partitions, showing fluctuations split into two conditionally independent sources given alpha-diversity.