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- W1816303977 abstract "Poisson processes {X(t), t ≥ 0} are suitable models for a broad variety of counting processes in Ecology. For example, when analyzing data that apparently came from Poisson population, over-dispersion [i.e. V(X(t)) > E(X(t))] or under-dispersion [i.e. V(X(t)) < E(X(t))] is encountered. This led Consul and Jain (1973), and Janardan and Schaeffer (1977) to consider a generalization of the Poisson distribution called Lagrangian Poisson distribution. Janardan (1980) modified the Poisson process and derived a stochastic model for the number of eggs laid by a parasite on a host. This distribution is very suitable for fitting data with over- (or under-) dispersion. Janardan et al. (1981) considered this stochastic model and applied it to study the variation of the distribution of chromosome aberrations in human and animal cells subject to radiation or chemical insults. Here, we present a new approach for the derivation of this distribution and provide some alternative chance mechanisms for the genesis of the distribution. Moments, moment properties, and some applications are also given." @default.
- W1816303977 created "2016-06-24" @default.
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- W1816303977 date "2002-06-01" @default.
- W1816303977 modified "2023-10-14" @default.
- W1816303977 title "On a Distribution Associated with a Stochastic Process in EcologyAn invited paper presented at the Ninth Lukacs Symposium, Frontiers of Environmental and Ecological Statistics for the 21th Century, at Bowling Green State University, Bowling Green, OH, on April 25, 1999" @default.
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