7 citations · 10 across the 5 of their papers we have counts for
5 papers
Bell numbers in Matsunaga's and Arima's Genjikō combinatorics: Modern perspectives and local limit theorems
Xiaoling Dou, Hsien-Kuei Hwang, Chong-Yi Li
We examine and clarify in detail the contributions of Yoshisuke Matsunaga (1694?--1744) to the computation of Bell numbers in the eighteenth century (in the Edo period), providing…
An Identity for Two Integral Transforms Applied to the Uniqueness of a Distribution via its Laplace-Stieltjes Transform
Gwo Dong Lin, Xiaoling Dou
It is well known that the Laplace-Stieltjes transform of a nonnegative random variable (or random vector) uniquely determines its distribution function. We extend this uniqueness t…
Dependence Properties of B-Spline Copulas
Xiaoling Dou, Satoshi Kuriki, Gwo Dong Lin +1
We construct by using B-spline functions a class of copulas that includes the Bernstein copulas arising in Baker's distributions. The range of correlation of the B-spline copulas i…
The Bivariate Lack-of-Memory Distributions
Gwo Dong Lin, Xiaoling Dou, Satoshi Kuriki
We treat all the bivariate lack-of-memory (BLM) distributions in a unified approach and develop some new general properties of the BLM distributions, including joint moment generat…
EM algorithms for estimating the Bernstein copula
Xiaoling Dou, Satoshi Kuriki, Gwo Dong Lin +1
A method that uses order statistics to construct multivariate distributions with fixed marginals and which utilizes a representation of the Bernstein copula in terms of a finite mi…