TY  - JOUR
T1  - AN ALTERNATIVE DISCRETE ANALOGUE OF THE HALF-LOGISTIC DISTRIBUTION
AU  - Barbiero, Alessandro
AU  - Hitaj, Asmerilda
PY  - 2023
DA  - December
Y2  - 2023
DO  - 10.47086/pims.1346708
JF  - Proceedings of International Mathematical Sciences
JO  - PIMS
PB  - İbrahim ÇANAK
WT  - DergiPark
SN  - 2717-6355
SP  - 76
EP  - 80
VL  - 5
IS  - 2
LA  - en
AB  - 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.
KW  - discretization
KW  - distance minimization
KW  - survival function
CR  - N. Balakrishnan, Order statistics from the half logistic distribution, J. Stat. Comput. Simul. 20(4) (1985)
287–309.
CR  - 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.
CR  - 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.
CR  - M. S. Ridout and P. Besbeas, An empirical model for underdispersed count data, Stat.Model. 4(1) (2004)
77–89.
CR  - S. Chakraborty and R. D. Gupta, Exponentiated geometric distribution: another generalization of
geometric distribution, Comm. Statist. Simulation Comput. 44(6) (2015) 1143–1157.
CR  - A. Barbiero, A. Hitaj, An alternative discrete analogue of the half-logistic distribution, in Abstract Book of
ICMS 2023, p.84.
UR  - https://doi.org/10.47086/pims.1346708
L1  - https://dergipark.org.tr/en/download/article-file/3348146
ER  -