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 ...

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 ...

This note sketches a biological context for the negative binomial distribution, gives some of the many equivalent mathematical notations that have been used for the negative binomial probabilities, ...

A numerical example is given and the small sample behaviour of the variance test and the C (α) tests is investigated in a Monte Carlo sampling experiment. The asymptotic relative efficiencies of the ...

The number of jackpot winners in a lottery is a textbook example of a binomial distribution, a formula from basic probability theory. If we repeat some probabilistic process some number of times ...

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 ...