AN ALTERNATIVE DISCRETE ANALOGUE OF THE HALF-LOGISTIC DISTRIBUTION

Year 2023, Volume: 5 Issue: 2, 76 - 80, 31.12.2023

Alessandro Barbiero , Asmerilda Hitaj

https://doi.org/10.47086/pims.1346708

Cited By: 2

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

Thanks

This work was presented at the 7th International Conference of Mathematical Sciences (ICMS 2023)

References

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