Maximum likelihood estimation in birth-death process allowing catastrophes

DOI10.1080/03610929508831591zbMath0937.62636OpenAlexW2066401355MaRDI QIDQ4337036

Mandar Kale, S. R. Deshmukh

Publication date: 13 June 2000

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

Full work available at URL: https://doi.org/10.1080/03610929508831591

zbMATH Keywords

strong law of large numbersrandom walkToeplitz lemmarandom sum central limit theorem

Mathematics Subject Classification ID

Point estimation (62F10) Markov processes: estimation; hidden Markov models (62M05)

Cites Work

• Limit theorems for the population size of a birth and death process allowing catastrophes
• Persistence times of populations with large random fluctuations
• The supercritical birth, death and catastrophe process: Limit theorems on the set of non-extinction
• The Markov branching process with density-independent catastrophes I. Behaviour of extinction probabilities
• Birth, immigration and catastrophe processes
• Estimation of the mean and the initial probabilities of a branching process
• Maximum likelihood estimation for continuous-time stochastic processes

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