AN ALTERNATIVE DISCRETE ANALOGUE OF THE HALF-LOGISTIC DISTRIBUTION

Authors : Alessandro Barbiero, Asmerilda Hitaj

Pages : 76-80

Doi:10.47086/pims.1346708

View : 44 | Download : 49

Publication Date : 2023-12-31

Article Type : Conference Paper

Abstract :A discrete version of the continuous half-logistic distribution is introduced, which is based on the minimization of the Cramer distance between the corresponding continuous and step-wise cumulative distribution functions. The expression of the probability mass function is derived in analytic form and some properties of the distribution are discussed, as well as sample estimation. A comparison is also made with a discrete version already proposed in the literature, which is based on a different rationale. An application to real data is finally presented.
Keywords : discretization, distance minimization, survival function