Some Theoretical Properties of the Geometric and α-Series Processes

DOI10.1080/03610920701825999zbMath1168.60347OpenAlexW1975818862MaRDI QIDQ3634551

Wei Li, Yiqiang Q. Zhao, W. John Braun

Publication date: 25 June 2009

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610920701825999

zbMATH Keywords

renewal theorycentral limit theorem

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Related Items (8)

Parameter estimation in α-series process with lognormal distribution ⋮ Geometric Pólya-Aeppli process ⋮ An optimal replacement policy for a degenerative system with two-types of failure states ⋮ A repairable multi-state system with a general α-series process and an order-replacement policy ⋮ Unnamed Item ⋮ Nonparametric estimation in \(\alpha\)-series processes ⋮ A note on converging geometric-type processes ⋮ Two different general monotone process models for a deteriorating system and its optimisation

Cites Work

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• Geometric processes and replacement problem
• Continuous-time Markov chains. An applications-oriented approach
• Entropy production and admissibility of shocks
• A note on the optimal replacement problem
• Nonparametric inference for geometric processes
• Analysis of a two-component series system with a geometric process model
• Properties of the geometric and related processes

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