Konferans Bildirisi
Yıl 2023,
Cilt: 5 Sayı: 2, 76 - 80, 31.12.2023
Öz
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.
Anahtar Kelimeler
Teşekkür
This work was presented at the 7th International Conference of Mathematical Sciences (ICMS 2023)
Kaynakça
- 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.
Yıl 2023,
Cilt: 5 Sayı: 2, 76 - 80, 31.12.2023
Öz
Kaynakça
- 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.
Toplam 6 adet kaynakça vardır.
Ayrıntılar
| Birincil Dil | İngilizce |
|---|---|
| Konular | Uygulamalı Matematik (Diğer) |
| Bölüm | Articles |
| Yazarlar | |
| Erken Görünüm Tarihi | 22 Aralık 2023 |
| Yayımlanma Tarihi | 31 Aralık 2023 |
| Kabul Tarihi | 30 Ağustos 2023 |
| Yayımlandığı Sayı | Yıl 2023 Cilt: 5 Sayı: 2 |
Cited By
AN ALTERNATIVE DISCRETE ANALOGUE OF THE HALF-LOGISTIC DISTRIBUTION
Proceedings of International Mathematical Sciences
https://doi.org/10.47086/pims.1346708
The published articles in PIMS are licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.