A continuous version of the negative binomial distribution

CHANDRA, NIMAI KUMAR; Department Of Statistics - University Of Kalyani & ROY, DILIP; Center For Management Studies - University Of Burdwan
While discretization of continuous distributions have been attempted for many life distributions the reverse has hardly been attempted. The present endeavor is to establish a reverse relationship by offering a continuous counter part of a discrete distribution namely negative binomial distribution. Different properties of this distribution have been established for a special choice of the parametric value covering class properties, ordering and mean residual life.