AbstractIn this paper we derive ak‐variate inverted Dirichlet distribution, D ('v1,v2, ···, vk; vk+1) by a theorem related tok+1independent random variables having gamma distributions with different parameters v1,v2, ···, vk+1but with the same scale parameter, say1.A number of results for ak‐variate inverted Dirichlet distribution are proved and it is shown that one may deduce ak‐dimensional multivariate logistic distribution from ak‐variate inverted Dirichlet