Two New Lifetime Distributions of X–Weibull Family: Theories and Applications
- https://doi.org/10.2991/jsta.2018.17.2.14How to use a DOI?
- Exponential distribution, Simulation method, T – X distribution family, Weibull distribution
In this paper, two new distributions, weibull-rayleigh and weibull-exponential of X–weibull family are introduced. The various properties of theses distributions, for example, the density functions, distribution functions, hazard rate functions, moment functions and Shannon entropy are investigated and capabilities of distributions compared to other distributions. Also by using simulation from these two distributions with various parameters some of the sample statistical indexes are estimated. Two real data sets are used to illustrate the applicability of these distributions.
- Copyright © 2018, the Authors. Published by Atlantis Press.
- Open Access
- This is an open access article under the CC BY-NC license (http://creativecommons.org/licences/by-nc/4.0/).
Cite this article
TY - JOUR AU - Abouzar Bazyari AU - Monjed H. M. Samuh PY - 2018 DA - 2018/06 TI - Two New Lifetime Distributions of X–Weibull Family: Theories and Applications JO - Journal of Statistical Theory and Applications SP - 375 EP - 392 VL - 17 IS - 2 SN - 2214-1766 UR - https://doi.org/10.2991/jsta.2018.17.2.14 DO - https://doi.org/10.2991/jsta.2018.17.2.14 ID - Bazyari2018 ER -