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Ordered and unordered random partitions of an integer and the GEM distribution

Sibuya, Masaaki; Yamato, Hajime - In: Statistics & Probability Letters 25 (1995) 2, pp. 177-183

The joint distribution of ordered (or unordered) frequencies of a sample from random proportions is the Donnelly-Tavaré-Griffiths formula (or the Ewens sampling formula) if and only if the size-biased permutation of the random proportions has the GEM distribution.

Persistent link: https://www.econbiz.de/10005143418

A simplified proof of a Bonferroni-type inequality by Tan and Xu and its extension

Sibuya, Masaaki - In: Statistics & Probability Letters 11 (1991) 3, pp. 255-257

A Bonferroni-type inequality by Tan and Xu (1989) is extended, and proved by a simple method. The stringency of the extended inequality is also confirmed.

Persistent link: https://www.econbiz.de/10005138040

Occupancy with two types of balls

Nishimura, Kazuo; Sibuya, Masaaki - In: Annals of the Institute of Statistical Mathematics 40 (1988) 1, pp. 77-91

Persistent link: https://www.econbiz.de/10005616078

Log-concavity of stirling numbers and unimodality of stirling distributions

Sibuya, Masaaki - In: Annals of the Institute of Statistical Mathematics 40 (1988) 4, pp. 693-714

Persistent link: https://www.econbiz.de/10005616092

Prediction of the Maximum Size in Wicksell's Corpuscle Problem

Takahashi, Rinya; Sibuya, Masaaki - In: Annals of the Institute of Statistical Mathematics 50 (1998) 2, pp. 361-377

Persistent link: https://www.econbiz.de/10005616093

The maximum size of the planar sections of random spheres and its application to metallurgy

Takahashi, Rinya; Sibuya, Masaaki - In: Annals of the Institute of Statistical Mathematics 48 (1996) 1, pp. 127-144

Persistent link: https://www.econbiz.de/10005616355

Prediction of the Maximum Size in Wicksell's Corpuscle Problem, II

Takahashi, Rinya; Sibuya, Masaaki - In: Annals of the Institute of Statistical Mathematics 53 (2001) 3, pp. 647-660

Persistent link: https://www.econbiz.de/10005616405

Bonferroni-type inequalities; Chebyshev-type inequalities for the distributions on [0, n]

Sibuya, Masaaki - In: Annals of the Institute of Statistical Mathematics 43 (1991) 2, pp. 261-285

Persistent link: https://www.econbiz.de/10005616406

Optimal Threshold for the k-Out-Of-n Monitor with Dual Failure Modes

Sibuya, Masaaki; Suzuki, Kazuyuki - In: Annals of the Institute of Statistical Mathematics 53 (2001) 2, pp. 189-202

Persistent link: https://www.econbiz.de/10005616456

Bivariate extreme statistics, I

Sibuya, Masaaki - In: Annals of the Institute of Statistical Mathematics 11 (1959) 2, pp. 195-210

Persistent link: https://www.econbiz.de/10005395711