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- Masaaki Sibuya
- 1960

Summary
This paper investigates the roles of partial correlation and conditional correlation as measures of the conditional independence of two random variables. It first establishes a sufficient… (More)

- Masaaki Sibuya
- 1979

SummaryIn this paper we introduce and study new probability distributions named “digamma” and “trigamma” defined on the set of all positive integers. They are obtained as limits of the zero-truncated… (More)

The classical occupancy problem is extended to the case where two types of balls are thrown. In particular, the probability that no urn contains both types of balls is studied. This is a birthday… (More)

- Masaaki Sibuya
- 1993

A clustering process which generates simple and uniform random partitions is studied. It has a single parameter and generates, for a special value of the parameter, the partition of a random… (More)

- Johan Segers, Masaaki Sibuya, Hideatsu Tsukahara
- J. Multivariate Analysis
- 2016

Given a sample from a multivariate distribution $F$, the uniform random variates generated independently and rearranged in the order specified by the componentwise ranks of the original sample look… (More)

SummaryRandom sequential bisection is a process to divide a given interval into two, four, eight, ... parts at random. Each division point is uniformly distributed on the interval and conditionally… (More)

- Masaaki Sibuya
- 1988

A series of inequalities involving Stirling numbers of the first and second kinds with adjacent indices are obtained. Some of them show log-concavity of Stirling numbers in three different… (More)

Abstract Some new results on “reverse order law” related to the generalized inverse of the product of two matrices are obtained, and Greville's and others' previous results are extended. The main… (More)