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On a generalization of Morisita's model for estimating the habitat preference
Authors:Ch. A. Charalambides and M. V. Koutras
Affiliation:(1) Department of Mathematics, Section of Statistics and O.R., University of Athens, Panepistemiopolis, 157 84 Athens, Greece
Abstract:
The Morisita's model for estimating the habitat preference by the ant lionsGenuroides japonicus is generalized by introducing, in addition to the environmental densitiesa andb, a repulsivity parameter thetav. The probability function of the numberLn of individuals choosing fine sand to settle when a total ofn ant lions are introduced is examined. A heuristic and the minimum chi-square methods for estimating the parametersa, b and thetav are discussed.
Keywords:Eulerian numbers  Gould and Hopper numbers  minimum chi-square estimation  unimodality
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