Multivariate Lagrange distributions and a subfamiliy

Mihoko Minami

doi:10.1080/03610929808832222

Multivariate Lagrange distributions and a subfamiliy

Mihoko Minami

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

Second order moments about its means, i.e. the variances and covariances for multivariate Lagrange distributions are derived in a matrix form. A subfamily of multivariate Lagrange distributions which can be characterized as the distributions of customers served in a busy period in qnonos with some conditions are considered. Theorems about their probability functions, one of which is a multivariate generalization of a formula by Takàcs(1989), are given and the means and second order moments about its means are considered. As an example, a multivariate Borel-Tanner distribution is derived.

Original language	English
Pages (from-to)	2185-2197
Number of pages	13
Journal	Communications in Statistics - Theory and Methods
Volume	27
Issue number	9
DOIs	https://doi.org/10.1080/03610929808832222
Publication status	Published - 1998 Jan 1
Externally published	Yes

Keywords

Busy period
Multivariate Borel-Tanner distribution
Multivariate Lagrange expansion
Second order moments about its means

ASJC Scopus subject areas

Statistics and Probability

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10.1080/03610929808832222

Cite this

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AB - Second order moments about its means, i.e. the variances and covariances for multivariate Lagrange distributions are derived in a matrix form. A subfamily of multivariate Lagrange distributions which can be characterized as the distributions of customers served in a busy period in qnonos with some conditions are considered. Theorems about their probability functions, one of which is a multivariate generalization of a formula by Takàcs(1989), are given and the means and second order moments about its means are considered. As an example, a multivariate Borel-Tanner distribution is derived.

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Multivariate Lagrange distributions and a subfamiliy

Abstract

Keywords

ASJC Scopus subject areas

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