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 ...

A binomial tree is a graphical representation of possible intrinsic values that an option may take at different nodes or time periods.

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 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 ...

Example 28.3: Computing Binomial Proportions for One-Way Frequency Tables The binomial proportion is computed as the proportion of observations for the first level of the variable that you are ...

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 ...

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 ...

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 ...