6533b7d4fe1ef96bd1263181
RESEARCH PRODUCT
An alternative representation of Altham's multiplicative-binomial distribution
Gianfranco Lovisonsubject
Statistics and ProbabilityBinomial distributionCombinatoricsBeta negative binomial distributionUnivariate distributionMathematics::Commutative AlgebraBeta-binomial distributionNegative binomial distributionMultinomial distributionContinuity correctionStatistics Probability and UncertaintyNegative multinomial distributionMathematicsdescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1998-01-01 | Statistics & Probability Letters |