Lovison, G. An alternative representation of Altham’s multiplicative-binomial distribution. (English) Zbl 0960.62054 Stat. Probab. Lett. 36, No. 4, 415-420 (1998). Summary: D.R. Cox [see “The analysis of binary data.” (1970; Zbl 0199.53301)] introduced a log-linear representation for the joint distribution of \(n\) binary-dependent responses. P.M.E. Atham [J. R. Stat. Soc., Ser. C27, 162-167 (1978; Zbl 0438.62008)] 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. Cited in 6 Documents MSC: 62H05 Characterization and structure theory for multivariate probability distributions; copulas 62E10 Characterization and structure theory of statistical distributions Keywords:correlated binary responses; multiplicative-binomial distribution; extra-binomial dispersion Citations:Zbl 0199.53301; Zbl 0438.62008 PDFBibTeX XMLCite \textit{G. Lovison}, Stat. Probab. Lett. 36, No. 4, 415--420 (1998; Zbl 0960.62054) Full Text: DOI References: [1] Altham, P., Two generalizations of the Binomial distribution, App. Statist., 27, 162-167 (1978) · Zbl 0438.62008 [2] Cox, D. R., The analysis of multivariate binary data, Appl. Statist., 21, 113-120 (1972) This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.