An alternative representation of Altham's multiplicative-binomial distribution

G. Lovison

Statistics & Probability Letters, 1998, vol. 36, issue 4, 415-420

Abstract: Cox (1972) introduced a log-linear representation for the joint distribution of n binary-dependent responses. Altham (1978) derived the distribution of the sum of such responses, under a multiplicative, rather than log-linear, representation and called it multiplicative-binomial. We propose here an alternative form of the multiplicative-binomial, which is derived from the original Cox's representation and is characterized by intuitively meaningful parameters, and compare its first two moments with those of the standard binomial distribution.

Keywords: Correlated; binary; responses; Multiplicative-binomial; distribution; Extra-binomial; dispersion (search for similar items in EconPapers)
Date: 1998
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Citations: View citations in EconPapers (2)

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