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On Counts of Organisms Able to Signal the Presence of an Observer
Author(s) -
Kemp A. W.
Publication year - 1992
Publication title -
biometrical journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.108
H-Index - 63
eISSN - 1521-4036
pISSN - 0323-3847
DOI - 10.1002/bimj.4710340508
Subject(s) - observer (physics) , mathematics , homogeneous , maximum likelihood , geometric distribution , statistics , convolution (computer science) , distribution (mathematics) , signal (programming language) , computer science , mathematical analysis , probability distribution , artificial intelligence , combinatorics , physics , quantum mechanics , artificial neural network , programming language
Suppose that organisms occur as entities that are either singlets or doublets, that entities are able to signal to one another the presence of an observer, and that, as a result, they detect the presence of the observer according to a non‐homogeneous birth process. If the behaviour of individuals (and hence their detection by the observer) is thereafter determined by a damage process, the distribution of the number of individuals seen by the observer is found to be a geometric pseudo‐geometric convolution. Properties of the distribution and maximum‐likelihood estimation are described. The model is shown to give a very good fit to the ruffed grouse data of GATES et al. (1968, Biometrics). Variants of the model am discussed.