On Ling's binomial and negative binomial distributions of order k
type: Item
instance of: scholarly article
title: On Ling's binomial and negative binomial distributions of order k
zbMATH Open document ID: 0728.60017
DOI: 10.1016/0167-7152(91)90115-8
author: Katuomi Hirano
author: Sigeo Aki
author: Nobuhisa Kashiwagi
author: Hisataka Kuboki
published in: Statistics \& Probability Letters
publication date: 1991-01-01T00:00:00Z
review text: Let \(X_ 1,...,X_ n\) be i.i.d. \(\{\) 0,1\(\}\)-valued random variables, and set \(M_ n^{(k)}=\sum^{n-k+1}_{i=1}\prod^{i+k-1}_{j=i}X_ j\), \(k\leq n\). The authors derive mainly the distribution and the probability generating function of \(M_ n^{(k)}\).
Mathematics Subject Classification ID: 60E05
Mathematics Subject Classification ID: 60E10
Mathematics Subject Classification ID: 60F05
zbMATH DE Number: 4203349
zbMATH Keywords: binomial distributions of order k
zbMATH Keywords: probability generating function
reviewed by: Aurel Spătaru
MaRDI profile type: Publication
full work available at URL: 0167-7152(91)90115-8
OpenAlex ID: W2004972051
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description: scientific article; zbMATH DE number 4203349