In this paper we introduced a family of distributions called confluent hypergeometric G that includes the important models beta normal, beta Weibull, beta Gumbel, beta Pareto among others. New distributions are presented as members of this family, for example, confluent hypergeometric normal distribution and confluent hypergeometric Weibull distribution. The estimation of the parameters of this new class of generalized distributions is studied using the maximum likelihood method and its potential is demonstrated in the modeling of a real data set of thirty-five children with growth hormone deficiency.
Generalized beta distribution; confluent hypergeometric distribution; method of maximum likelihood
