Discrete Mittag-Leffler distributions
type: Item
instance of: scholarly article
title: Discrete Mittag-Leffler distributions
zbMATH Open document ID: 0829.60010
DOI: 10.1016/0167-7152(94)00124-Q
author: Yanyan Li
published in: Statistics \& Probability Letters
publication date: 1996-01-15T00:00:00Z
review text: A probability distribution with the generating function \(G(z) = (1 + c(1 - z)^\alpha)^{-1}\), \(0 < \alpha < 1\), \(0 < p < 1\), \(p = (1 + c)^{- 1}\), is called the discrete Mittag-Leffler distribution. Properties of these distributions are studied and the first order autoregressive discrete Mittag-Leffler process is developed.
reviewed by: Nijolė Kalinauskaitė
Mathematics Subject Classification ID: 60E05
zbMATH DE Number: 768776
zbMATH Keywords: Mittag-Leffler distributions
zbMATH Keywords: autoregressive process
MaRDI profile type: Publication
cites work: First-order autoregressive gamma sequences and point processes
cites work: The first-order autoregressive Mittag–Leffler process
cites work: Q5598785
cites work: Autoregressive moving-average processes with negative-binomial and geometric marginal distributions
cites work: On Mittag-Leffler functions and related distributions
cites work: Distributions with complete monotone derivative and geometric infinite divisibility
cites work: Discrete analogues of self-decomposability and stability
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description: scientific article; zbMATH DE number 768776