SOME CONSIDERATIONS ON SLAKING TEST OF MUDSTONE THROUGH NEGATIVE BINOMIAL DISTRIBUTION

On Some Negative Integer Moments of Quasi-Negative-Binomial Distribution

Some Representations and Specifications of the Generalized Negative Binomial Distribution

Abstract: In a sequence of dependent Bernoulli trials, the distribution of the number of trials required to obtain r successes, Vr, is called a Generalized Negative Binomial (GNB) distribution. We present a simple representation of this distribution based on moments and consider the conditions under which a GNB distribution follows negative binomial distribution. Also we study the properties of...

On Hypergeometric Generalized Negative Binomial Distribution

The Weibull Negative Binomial Distribution

We propose the Weibull negative binomial distribution that is a quite flexible model to analyze positive data, and includes as special submodels the Weibull, Weibull Poisson and Weibull geometric distributions. Some of its structural properties follow from the fact that its density function can be expressed as a mixture of Weibull densities. We provide explicit expressions for moments, generati...

Equal Binomial Coefficients: Some Elementary Considerations

so that there are infinitely many numbers occurring at least 4 times in the Pascal Triangle. Stripped of these trivialities, the more interesting problem becomes to determine the natural numbers that occur at least twice as binomial coefficients of the shape ( n k) with 2 k 1 2n, and this is yet unsolved in its full generality. The only nontrivial solutions known at this time are the following:...