[0,1] Truncated half logistic- half logistic distribution

Document Type : Research Paper


1 Department of Mathematical, Mustansiriyah University , Iraq.

2 Department of Statistical, Wasit University, Iraq.

3 Department of Accounting, Southern Technical University, Iraq.


In the past few years, many methods have been proposed to generate new distributions. In this paper, we introduce [0,1] truncated half logistic - half logistic distribution ([0,1] THL-HLD). Some of important statistical properties of this distribution will be derived. These properties are rth raw moments function, hazard rate function, stress-strength  function and Shannon entropy. 


[1] M. A. Boshi, New classes of probability distribution. Thesis submitted to the council of the College of Science at the Mustansiriya University, 2019.
[2] M. M. Elbiely and H. M. Yousof, A new extension of the Lomax distribution and its Applications, J. Stat. Appl, 2 (2018) 18-34.
[3] B. Hosseini, M. Afshari and M. Alizadeh, The Generalized Odd Gamma-G Family of Distributions: Properties and Applications, Austrian J. Stat., 47(2)(2018) 69-89.
[4] M. Ibrahim, A New Extended Frechet Distribution: Properties and Estimation, Pak. J. Stat. Oper. Res., 15(3) (2019) 773-796.
[5] F. Jamal and M. Nasir, Generalized Burr X family of distributions, Int. J. Math. Stat., 19(1)(2019) 55-73.
[6] S. K. Kang and Y. K. Park, Estimation for the half-logistic distribution based on multiply Type-II Censored Samples, J. Korean Data Inf. Sci. Soc., 16(1) (2005) 145-156.
[7] O. A. Kehinde and A. F. Samuel, A study on Transmuted Half Logistic Distribution: Properties and Application, Int. J. Stat. Distrib. Appl., 5(3)(2019) 54-59.
[8] M. A. Korkmaz, A New Family of the Continuous Distributions: The Extended Weibull-G Family, Commun. Fac. Sci. Univ. Ank. Ser, 68(1)(2019) 248-270.
Volume 13, Issue 1
March 2022
Pages 2959-2969
  • Receive Date: 30 June 2021
  • Accept Date: 06 November 2021