The binomial distribution is a subtype of the multinomial distribution. In finance, the multinomial distribution can be used to estimate the probability of a set of occurrences and analyze the ...

Second, the binomial distribution assumes that we know the intrinsic probability of an event occurring, as we would with a dice roll or coin flip. But we never really know what a baseball player’s ...

The order statistics of independent random variables each having the same negative binomial distribution are discussed. Recurrence relations for probability generating functions and moments of the ...

The beta-binomial distribution is extended to allow negative correlations among binary variates within an experimental unit. Regression models are proposed for both the binary variate response rate ...

We investigate credit portfolio tranche pricing and highlight the sensitivity of credit portfolios to dependence. The Poisson binomial distribution is extended by introducing correlation and ...