A new four-parameter distribution, called the truncated Weibull power Lomax (TWPL) distribution is introduced. We calculate the density (pdf), distribution function (cdf), quantile function, r$^{\rm th}$ moment, inequality measures, and order statistics. Maximum Likelihood methods to estimate the TWPL distribution parameters are proposed. Two real data sets are applied to illustrate the flexibility of the TWPL model compared with some Known distributions.
Keywords: Power Lomax distribution, truncated Weibull-G family, moments, order statistics
Al-Marzouki, Sanaa   1
@article{10_22436_jnsa_012_08_05,
author = {Al-Marzouki, Sanaa },
title = {Truncated {Weibull} power {Lomax} distribution: statistical properties and applications},
journal = {Journal of nonlinear sciences and its applications},
pages = {543-551},
year = {2019},
volume = {12},
number = {8},
doi = {10.22436/jnsa.012.08.05},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.22436/jnsa.012.08.05/}
}
TY - JOUR AU - Al-Marzouki, Sanaa TI - Truncated Weibull power Lomax distribution: statistical properties and applications JO - Journal of nonlinear sciences and its applications PY - 2019 SP - 543 EP - 551 VL - 12 IS - 8 UR - http://geodesic.mathdoc.fr/articles/10.22436/jnsa.012.08.05/ DO - 10.22436/jnsa.012.08.05 LA - en ID - 10_22436_jnsa_012_08_05 ER -
%0 Journal Article %A Al-Marzouki, Sanaa %T Truncated Weibull power Lomax distribution: statistical properties and applications %J Journal of nonlinear sciences and its applications %D 2019 %P 543-551 %V 12 %N 8 %U http://geodesic.mathdoc.fr/articles/10.22436/jnsa.012.08.05/ %R 10.22436/jnsa.012.08.05 %G en %F 10_22436_jnsa_012_08_05
Al-Marzouki, Sanaa . Truncated Weibull power Lomax distribution: statistical properties and applications. Journal of nonlinear sciences and its applications, Tome 12 (2019) no. 8, p. 543-551. doi: 10.22436/jnsa.012.08.05
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