Error Analysis on the Generalized Negative Binomial Distribution
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The negative binomial distribution has become increasingly popular as a more flexible alternative to Poisson distribution, especially when it is questionable whether the strict requirements for Poisson distribution could be satisfied. But negative binomial distribution is better
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
In this paper, we are concerned with the situations, where sometimes value two is reported erroneously as one in relation to size biased generalized negative binomial distribution (SBGNBD) with probability αα. We have obtained the Maximum likelihood estimator and Bayes estimator
A simple and quick method of estimating the parameters of the Generalized Negative Binomial Distribution (GNBD) has been suggested. A Monte Carlo technique has been applied to study the unbiasedness and the efficiency of the estimates so obtained. Using this method of estimation