An alternative representation of Altham's multiplicative-binomial distribution

✍ Scribed by G. Lovison

• Publisher: Elsevier Science
• Year: 1998
• Tongue: English
• Weight: 245 KB
• Volume: 36
• Category: Article
• ISSN: 0167-7152
• DOI: 10.1016/s0167-7152(97)00088-6

✦ Synopsis

Cox (1972)

introduced a log-linear representation for the joint distribution of n binary-dependent responses. Altharn (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 multiplieative-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. (~) 1998 Elsevier Science B.V.