Abstract
This note describes a test for extinction in a declining population based on a record of sightings. The test assumes that, prior to extinction, the sightings follow a Poisson process with decreasing rate function. An application to a sighting record of the black-footed ferret is presented.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
Bain, L. J., Engelhardt, M., Wright, F. T.: Inferential procedures for the truncated exponential distribution. Commun. Stat. A6, 103–111 (1977)
Bartholomew, D. J.: The sampling distribution of an estimate arising in life testing. Technometrics 5, 361–374 (1963)
Beg, M. A.: Optimal tests and estimators for truncated exponential families. Metrika 29, 103–113 (1982)
Cox, D. R., Lewis, P. A. W.: The Statistical Analysis of Series of Events. London: Chapman and Hall 1966
Fisher, R. A.: Tests of significance in harmonic analysis. Proc. R. Soc. A125, 54–59 (1929)
Raftery, A. E.: Analysis of a simple debugging model. Appl. Stat. 37, 12–22 (1988)
Raftery, A. E., Akman, V. E.: Bayesian analysis of a Poisson process with a change-point. Biometrika 73, 85–89 (1986)
Solow, A. R.: Inferring extinction from sighting data. Ecology 74, 962–964 (1993)
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Solow, A.R. Inferring extinction in a declining population. J. Math. Biol. 32, 79–82 (1993). https://doi.org/10.1007/BF00160376
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF00160376