An approximation for negative binomial sums involving a minimum of arithmetic is presented. Because of the relationship between negative binomial sums and regular binomial sums the approximation can ...

The binomial distribution is an important discrete distribution. It gives the probability of the number of "successes," in a sequence of n independent binary trials. This applet allows users to drag ...

Abstract: The binomial distribution is a well-known approximation to the distance spectra of many classes of codes. We derive a lower estimate for the deviation from the binomial approximation. > ...

The Canadian Journal of Statistics / La Revue Canadienne de Statistique Let Xi be the number of outcomes in class Ci,i=0,... ,k, during n independent possibly non-identical trials. If class C0 has ...

Hypergeometric functions occupy a central role in mathematical analysis by encapsulating a diverse class of series that extend many classical functions. Equally, identities involving harmonic numbers ...