Conference Paper
BibTex RIS Cite

AN ALTERNATIVE DISCRETE ANALOGUE OF THE HALF-LOGISTIC DISTRIBUTION

Year 2023, Volume: 5 Issue: 2, 76 - 80, 31.12.2023
https://doi.org/10.47086/pims.1346708

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.

Thanks

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

References

  • N. Balakrishnan, Order statistics from the half logistic distribution, J. Stat. Comput. Simul. 20(4) (1985) 287–309.
  • A. Barbiero and A. Hitaj, A discrete analogue of the half-logistic distribution, in 2020 International Conference on Decision Aid Sciences and Application (DASA), 2020, pp. 64–67.
  • A. Barbiero and A. Hitaj, A new method for building a discrete analogue to a continuous random variable based on minimization of a distance between distribution functions, in 2021 International Conference on Data Analytics for Business and Industry (ICDABI), 2021, pp.338–341.
  • M. S. Ridout and P. Besbeas, An empirical model for underdispersed count data, Stat.Model. 4(1) (2004) 77–89.
  • S. Chakraborty and R. D. Gupta, Exponentiated geometric distribution: another generalization of geometric distribution, Comm. Statist. Simulation Comput. 44(6) (2015) 1143–1157.
  • A. Barbiero, A. Hitaj, An alternative discrete analogue of the half-logistic distribution, in Abstract Book of ICMS 2023, p.84.
Year 2023, Volume: 5 Issue: 2, 76 - 80, 31.12.2023
https://doi.org/10.47086/pims.1346708

Abstract

References

  • N. Balakrishnan, Order statistics from the half logistic distribution, J. Stat. Comput. Simul. 20(4) (1985) 287–309.
  • A. Barbiero and A. Hitaj, A discrete analogue of the half-logistic distribution, in 2020 International Conference on Decision Aid Sciences and Application (DASA), 2020, pp. 64–67.
  • A. Barbiero and A. Hitaj, A new method for building a discrete analogue to a continuous random variable based on minimization of a distance between distribution functions, in 2021 International Conference on Data Analytics for Business and Industry (ICDABI), 2021, pp.338–341.
  • M. S. Ridout and P. Besbeas, An empirical model for underdispersed count data, Stat.Model. 4(1) (2004) 77–89.
  • S. Chakraborty and R. D. Gupta, Exponentiated geometric distribution: another generalization of geometric distribution, Comm. Statist. Simulation Comput. 44(6) (2015) 1143–1157.
  • A. Barbiero, A. Hitaj, An alternative discrete analogue of the half-logistic distribution, in Abstract Book of ICMS 2023, p.84.
There are 6 citations in total.

Details

Primary Language English
Subjects Applied Mathematics (Other)
Journal Section Articles
Authors

Alessandro Barbiero 0000-0002-5072-5662

Asmerilda Hitaj This is me 0000-0002-1921-8435

Early Pub Date December 22, 2023
Publication Date December 31, 2023
Acceptance Date August 30, 2023
Published in Issue Year 2023 Volume: 5 Issue: 2

Cite

Creative Commons License
The published articles in PIMS are licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.