Hostname: page-component-586b7cd67f-l7hp2 Total loading time: 0 Render date: 2024-11-26T15:08:38.407Z Has data issue: false hasContentIssue false
  • English
  • Français

Maximum likelihood estimation in the birth-and-death process

Published online by Cambridge University Press:  01 July 2016

N. Keiding
N. Keiding*
Affiliation:
University of Copenhagen
Get access Rights & Permissions [Opens in a new window]

Abstract

An abstract is not available for this content so a preview has been provided. Please use the Get access link above for information on how to access this content.
Image of the first page of this content. For PDF version, please use the ‘Save PDF’ preceeding this image.'
Type
II Contributed Papers
Information
Advances in Applied Probability , Volume 6 , Issue 2 , June 1974 , pp. 242 - 244
Copyright
Copyright © Applied Probability Trust 1974 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Bartlett, M. S. (1955) An Introduction to Stochastic Processes. Cambridge University Press.Google Scholar
Dion, J. P. (1972) Estimation des probabilités initiales et de la moyenne d'un processus de Galton-Watson. Thèse de doctorat, Université de Montréal.Google Scholar
Dion, J. P. (1973) Estimation for the mean and the initial probabilities of a branching process. Preprint , Dép. de Math., Univ. du Québec à Montréal.Google Scholar
Hoem, J. M. (1971) Point estimation of forces of transition in demographic models. J. R. Statist. Soc. B 33, 275–289.Google Scholar
Immel, E. R. (1951) Problems of estimation and of hypothesis testing connected with birth-and-death Markov processes. , University of California, Los Angeles. Abstract: Ann. Math. Statist. 22, 485.Google Scholar
Jagers, P. (1973) Maximum likelihood estimation of the reproduction distribution in branching processes and the extent of disintegration in cell proliferation. Technical Report 1973–17, Dept. of Math., Chalmers Univ. of Techn. and Univ. Göteborg.Google Scholar
Keiding, N. (1973) Estimation in the birth process. Preprint No. 4, Institute of Mathematical Statistics, University of Copenhagen. Biometrika. To appear.Google Scholar
Kendall, D. G. (1949) Stochastic processes and population growth. J. R. Statist. Soc. B 11, 230–264.Google Scholar
Kendall, D. G. (1952) Les processus stochastiques de croissance en biologie. Ann. Inst. H. Poincaré 13, 43–108.Google Scholar
Moran, P. A. P. (1951) Estimation methods for evolutive processes. J. R. Statist. Soc. B 13, 141–146.Google Scholar
Moran, P. A. P. (1953) The estimation of parameters of a birth and death process. J. R. Statist. Soc. B 15, 241–245.Google Scholar
Sverdrup, E. (1965) Estimates and test procedures in connection with stochastic models for deaths, recoveries and transfers between different states of health. Skand. Akt. 1965, 184–211.Google Scholar
Waugh, W. A. O'N. (1958) Conditioned Markov processes. Biometrika 45, 241–249.Google Scholar