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

https://izlik.org/JA53WC23KT

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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