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ON A GENERALIZATION OF MORISITA'S MODEL

FOR ESTIMATING THE HABITAT PREFERENCE

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CH. A. CHARALAMBIDES AND M. V. K OUTRAS

*Department of Mathematics, Section of Statistics and O.R., University of Athens,*

Panepistemiopolis, Athens 157 84, Greece
(Received January 27, 1992; revised July 6, 1992)

**Abstract.**
The Morisita's model for estimating the habitat
preference by the ant lions *Genuroides japonicus* is
generalized by introducing, in addition to the environmental densities
*a* and *b*, a repulsivity parameter *theta*. The probability function
of the number *L*_{n} of individuals choosing fine sand to settle when a
total of *n* ant lions are introduced is examined. A heuristic and the
minimum chi-square methods for estimating the parameters *a*, *b* and
*theta* are discussed.

*Key words and phrases*:
Eulerian numbers, Gould and Hopper
numbers, minimum chi-square estimation, unimodality.

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