MOMENTS OF SOME STATISTICS OF PITMAN SAMPLING FORMULA
Hajime Yamato, 政昭 渋谷 · Bulletin of informatics and cybernetics · 2000
For Pitman sampling formul a which is a distribution on all unordered partitions of a positive integer, we give the moments of the number of components of the random partition which are the descending factorial moments, the ascending factorial moments and the usual moments. Using them the asymptotic distribution of the number of components of the random partition is derived. The moments of Pitman sampling formula are also given. Using them we give the asymptotic distributions of the marginals and their functions.