Approximations to the maximum likelihood estimate in some pure birth processes

Approximations to the maximum likelihood estimate in some pure birth processes

We present two simple approximations, one an extension of that given by Choi & Severo (1988), to the maximum likelihood estimate of a parameter λ in the class of birth processes in which the growth rate is the product of λ and some known function of the population size. The data are population s...

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Veröffentlicht in:Biometrika 1991-06, Vol.78 (2), p.295-299
Hauptverfasser: OH, CHANGHYUCK, SEVERO, NORMAN C., SLIVKA, JOHN
Format: Artikel
Sprache:eng
Schlagworte:
Approximate maximum likelihood
Approximation
Disease models
Epidemics
Exact sciences and technology
Mathematical independent variables
Mathematics
Maximum likelihood estimators
Population size
Probability and statistics
Pure birth process
Sciences and techniques of general use
Statistics
Stochastic models
Stochastic processes
Transition probabilities
Yule process
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Beschreibung
Zusammenfassung:We present two simple approximations, one an extension of that given by Choi & Severo (1988), to the maximum likelihood estimate of a parameter λ in the class of birth processes in which the growth rate is the product of λ and some known function of the population size. The data are population sizes taken at a discrete set of time points. The Yule process is discussed in some detail.
ISSN:0006-3444
1464-3510
DOI:10.1093/biomet/78.2.295