Higher-order and non-stationary properties of lampard's stochastic reversible counter system

DOI10.1080/02331888608801936zbMath0595.60100OpenAlexW2036070708MaRDI QIDQ3727110

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Publication date: 1986

Published in: Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331888608801936

zbMATH Keywords

renewal processesmixed Poisson processcounter systembirth-death process with immigrationnon-stationary properties

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Special processes (60K99) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Related Items (3)

Zero-inflated non-central negative binomial distribution ⋮ The non-central negative binomial distribution: Further properties and applications ⋮ On a class of discrete distributions arising from the birth-death-with-immigration process

Cites Work

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• Optimal control of a birth-and-death process population model
• The Non-Central Negative Binomial Distribution
• Notes on Generating Functions of Polynomials: (1) Laguerre Polynomials
• Identifiability of Mixtures
• A stochastic process whose successive intervals between events form a first order Markov chain — I
• Certain Results Involving Generalized Hypergeometric Functions
• Some approximate results in renewal and dam theories
• On the Compound and Generalized Poisson Distributions

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