On a generalized gamma-type distribution with tau-confluent hypergeometricfunction

A new gamma-type distribution involving the tau -confluent hypergeometric f unction is introduced. A generalized form of incomplete gamma function and its complementary form are introduced in order to obtain some statistical f unctions. Some basic functions, associated with the new density, specifical ly, moment, mean, expected value, hazard rate function and mean residue lif e function, are derived. Several special cases such as the generalized Weib ull, gamma and confluent densities are mentioned. The behaviour of probabil ity density function and hazard rate functions are depicted graphically for certain values of the parameters.