Inference on population size in binomial detectability models

Biometrika

Volumn 96, Issue 4, 2009, Pages 805-820

  Fewster, R M ^a   Jupp, P E ^b  

^a UNIVERSITY OF AUCKLAND   (New Zealand)

^b UNIVERSITY OF ST ANDREWS   (United Kingdom)

Author keywords

Asymptotic distribution; Bias; Capture recapture sampling; Conditional maximum likelihood; Distance sampling; Interval estimation; Maximum likelihood

Indexed keywords

EID: 71249146456     PISSN: 00063444     EISSN: 14643510     Source Type: Journal    
DOI: 10.1093/biomet/asp051     Document Type: Article

References (13)

1. ABRAMOWITZ, M. & STEGUN, I. A. (1965). Handbook of Mathematical Functions. New York: Dover.
2. BARNDORFF-NIELSEN, O. E. (1986). Likelihood and observed geometries. Ann. Statist. 14, 856-873
3. BARNDORFF-NIELSEN, O. E. & COX, D. R. (1994). Inference and Asymptotics. London: Chapman & Hall.
4. BUCKLAND, S. T.,ANDERSON, D. R.,BURNHAM, K. P.,LAAKE, J. L.,BORCHERS, D. L. & THOMAS, L. (2001). Introduction to Distance Sampling. Oxford: Oxford University Press.
5. CHAO, A., CHU, W., & HSU, C.-H. (2000). Capture-recapture when time and behavioral response affect capture probabilities. Biometrics 56, 427-433
6. CHAPMAN, D. G. (1951). Some properties of the hypergeometric distribution with applications to zoological sample censuses. Univ. Calif. Pub. Statist. 1, 131-160
7. MORGAN, B. J. T. & RIDOUT, M. S. (2008). A new mixture model for capture heterogeneity. Appl. Statist. 57, 433-446
8. OTIS, D. L., BURNHAM, K. P., WHITE, G. C. & ANDERSON, D. R. (1978). Statistical inference from capture data on closed animal populations. Wildl. Monog. 62, 1-135.
9. PACE, L. & SALVAN, A. (1997). Principles of Statistical Inference. Singapore: World Scientific.
10. SANATHANAN, L. (1972). Estimating the size of a multinomial population. Ann. Math. Statist. 43, 142-152
11. SERFLING, R. J. (1980). Approximation Theorems of Mathematical Statistics. New York: Wiley.
12. WHITE, G. C. (2002). Discussion comments on: The use of auxiliary variables in capture-recapture modelling. J. Appl. Statist. 29, 103-106
13. YANG, H.-C.&CHAO,A. (2005).Modeling animals' behavioral response byMarkov chain models for capture-recapture experiments. Biometrics 61. 1010-1017