For Pitman–Yor partitions, sums ∑_{j=⌊λn⌋}^{⌊μn⌋} M_jn converge in law (conditionally and marginally) to explicit mixture distributions built from truncated stable subordinators.
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Limit Theorems for the Pitman-Yor Frequency Spectrum
For Pitman–Yor partitions, sums ∑_{j=⌊λn⌋}^{⌊μn⌋} M_jn converge in law (conditionally and marginally) to explicit mixture distributions built from truncated stable subordinators.