@article{Boender:272280,
      recid = {272280},
      author = {Boender, C. G. E. and Rinnooy Kan, A. H. G.},
      title = {BAYESIAN MULTINOMIAL ESTIMATION OF ANIMAL POPULATION SIZE},
      address = {1983},
      number = {2099-2018-3210},
      series = {REPORT 8322/0},
      pages = {17},
      year = {1983},
      abstract = {This paper deals with the problem of estimating the size k  of a closed animal population from data obtained by  sampling one animal at a time, which is marked and then  immediately returned to the population. It is assumed that  conditional on a capture, each animal i (i=1,...,k) has a  fixed probability 0. of being the victim (6 1 +...+6 k =1),  which need not be equal for all animals. Since a trapped  animal is immediately put back, the above assumption  implies that the result of a sequence of captures follows a  multinomial distribution with an unknown number of cells  which is equal to the population size k, and unknown cell  probabilities which correspond to the catch probabilities 6  ...,6 of the animals in the population. This observation is  used to derive k a Bayesian method to estimate the  population size under various assumptions about available  prior information. The estimation method is tested on a  fictive population of k = 500 animals with equal catch  probabilities 6i = 1/500 (i=1,...,k), as well as on a  sample from a population of butterflies.},
      url = {http://ageconsearch.umn.edu/record/272280},
      doi = {https://doi.org/10.22004/ag.econ.272280},
}