On the Extension of the Mover-Stayer Model when Rate of Transition Follows Negative Binomial Distribution

摘要

The extension of the Mover-Stayer Model proposed by Blumen, Kogan and McCarthy (1955) is an active area of research. Spilerman (1972) extended the basic model by specifying gamma distribution for the transition rate, the mixture of which resulted in Negative Binomial distribution. However, the Negative Binomial distribution being a unimodal distribution, may not capture situations where excess zeroes exist in the distribution of movements. This paper extends the model using Negative Binomial distribution to model rate of transition in Poisson distribution, which gave the Polya-Aeppli distribution (which is bimodal) as a mixture. The obtained model was validated using a simulated data adopted from Spilerman (1972).