Species Accumulation for Beta Distributed Recording Probabilities

Journal of Agricultural, Biological, and Environmental Statistics

Volumn 3, Issue 1, 1998, Pages 17-36

  Nakamura, Miguel ^a   Peraza, Felipe ^b  

^a CENTRO DE INVESTIGACIÓN EN MATEMÁTICAS   (Mexico)

^b UNIVERSIDAD AUTÓNOMA DE SINALOA   (Mexico)

Author keywords

EM algorithm; Number of species; Profile likelihood

Indexed keywords

EID: 0002400647     PISSN: 10857117     EISSN: None     Source Type: Journal    
DOI: 10.2307/1400620     Document Type: Article

References (16)

1. Barndorff-Nielsen, O. E., and Cox, D. R. (1994). Inference and Asymptotics, Monographs on Statistics and Applied Probability 52, London: Chapman & Hall.
2. Bunge, J., and Fitzpatrick, M. (1993), "Estimating the Number of Species: A Review. Journal of the American Statistical Association, 88, 364-373.
3. Colwell, R. K., and Coddington, J. A. (1994), "Estimating Terrestrial Biodiversity Trough Extrapolation," Philosophical Transactions of the Royal Society of London, Ser. B., (Special volume on "The Quantification and Estimation of Organismal Biodiversity"), 345, 101-118.
4. Cox, D. R., and Reid, N. (1992), "A Note on the Difference Between Profile and Modified Profile Likelihood," Biometrika, 79, 408-411.
5. Dempster, A. P., Laird, N. M., and Rubin, D. B. (1977), "Maximum Likelihood From Incomplete Data via EM Algorithm," Journal of the Royal Statistical Society, Ser. B, 39, 1-38.
6. Efron, B., and Tibshirani, R. (1986), "Bootstrap Methods for Standard Errors, Confidence Intervals, and Other Measures of Statistical Accuracy," Statistical Science, 1, 54-77.
7. Engen, S. (1978), Stochastic Abundance Models, Monographs on Applied Probability and Statistics, London: Chapman & Hall.
8. Hinkley, D. V., Reid, N., and Snell, E. J. (1991), Statistical Theory and Modelling. In Honour of Sir David Cox, FRS., London: Chapman and Hall.
9. Lamas, G., Robbins, R. K., and Harvey, D. J. (1991), "A Prelimmary Survey of the Butterfly Fauna of Pakitza, Parque Nacional del Manu, Peru, with an Estimate of its Species Richness," Publicaciones del Museo de Historia Natural (Universidad de San Marcos, Peru), Ser. A, 40, 1-19.
10. McCullagh, P., and Tibshirani, R. (1990), "A Simple Method for the Adjustment of Profile Likelihoods," Journal of the Royal Statistical Society, Ser. B, 52, 325-344.
11. Medellin, R. (1993), "Estructura y Diversidad de una Comunidad de Murciélagos en el Trópico Húmedo Mexicano," in Avances en el Estudio de los Mamíferos Mexicanos (Publicaciones Especiales Vol. I), eds. R. Medellin and G. Ceballos, Asociación Mexicana de Mastozoología A. C., pp. 333-354.
12. Mingoti, S. A., and Meeden, G. (1992), "Estimating the Total Number of Distinct Species Using Presence and Absence Data," Biometrics, 48, 863-875.
13. Otis, D. L., Burnham, K. P., White, G. C., and Anderson, D. R. (1978), Wildlife Monographs: Statistical Inference from Capture Data on Closed Animal Populations, Louisville, KY: The Wildlife Society, Inc.
14. Press, W. H., Flannery, B. P., Teukolsky, S. A., and Vetterling, W. T. (1988), Numerical Recipes in C, Cambridge: Cambridge University Press.
15. Seber, G. A. F. (1982), The Estimation of Animal Abundance and Related parameters (2nd ed.), London: Charles W. Griffin.
16. Soberón, J., and Llorente, J. (1993), "The Use of Species Accumulation Functions for the Prediction of Species Richness," Conservation Biology, 7, 480-488.