Multivariate distributions of order k on a generalized sequence
type: Item
instance of: scholarly article
title: Multivariate distributions of order k on a generalized sequence
zbMATH Open document ID: 0702.62044
DOI: 10.1016/0167-7152(90)90038-9
author: Andreas N. Philippou
author: Demetrios L. Antzoulakos
published in: Statistics \& Probability Letters
publication date: 1990-01-01T00:00:00Z
review text: As an extension of independent trials with multiple outcomes, the authors define a generalized sequence of order k and derive a multivariate extended geometric distribution of order k, by using the generalized sequence of the same order. Also they obtain a multivariate extended negative binomial distribution of order k. The probability generating functions, mean, variances and covariance of these distributions are also given.
reviewed by: Song Wang
Mathematics Subject Classification ID: 62H05
zbMATH DE Number: 4151628
zbMATH Keywords: geometric
zbMATH Keywords: Poisson
zbMATH Keywords: logarithmic series
zbMATH Keywords: interrelationships
zbMATH Keywords: extension of independent trials with multiple outcomes
zbMATH Keywords: generalized sequence of order k
zbMATH Keywords: multivariate extended geometric distribution of order k
zbMATH Keywords: multivariate extended negative binomial distribution of order k
zbMATH Keywords: probability generating functions
zbMATH Keywords: mean
zbMATH Keywords: variances
zbMATH Keywords: covariance
MaRDI profile type: Publication
full work available at URL: 0167-7152(90)90038-9
OpenAlex ID: W1976991188
Wikidata QID: Q56010517
cites work: Discrete distributions of order k on a binary sequence
cites work: On discrete distributions of order k
cites work: Q5615180
cites work: Properties of the extended distributions of order k
cites work: The Negative Binomial Distribution of Orderk and Some of Its Properties
cites work: On multiparameter distributions of order k
cites work: Multivariate distributions of order k
cites work: A generalized geometric distribution and some of its properties
description: scientific article; zbMATH DE number 4151628