Multivariate q-Distributions

The stochastic model of a sequence of independent Bernoulli trials, with either a success or a failure, may be extended, by introducing recursively different kinds (ranks, levels) of success, \(\{s_1,s_2,\ldots ,s_k\}\) , and failure, \(\{f_1,f_2,\ldots ,f_k\}\) , as follows.