A binomial distribution is a statistical probability distribution that summarizes the likelihood that a value will take one of two independent values.

A generalized negative binomial (GNB) distribution with an additional parameter β has been obtained by using Lagrange's expansion. The parameter is such that both mean and variance tend to increase or ...

Incorporating Probabilities The basic method of calculating the binomial options model is to use the same probability each period for success and failure until the option expires.

After setting these two values, the applet displays the resulting binomial distribution of the number of successes. The applet can also display probabilities, obtained by clicking the buttons "Find ...

Using the C (α) procedure of Neyman (1959), we derive tests for the goodness of fit of the binomial distribution which are asymptotically optimal against generalized binomial alternatives proposed by ...