<abstract xmlns="http://www.w3.org/1999/xhtml"><p>On the base of the Half Logistic – G family of distributions proposed by Cordeiro, Alizadeh and Marinho [2] some mathematical properties are investigated by Almarashi et al. [1]. We study the “saturation” to the horizontal asymptote: t=1 by the new growth function M(t) in the Hausdorff sense. Similar to our previous studies [3-6], in this article we will define and analyze in detail the new family. We will call this family the “Half-Logistic-Inverse-Rayleigh cdf with Polynomial Variable Transfer” (HLIRPVT) cdf. Section 3 shows the potentiality of proposed new model under four real data sets. Some numerical examples using CAS MATHEMATICA are given.</p></abstract>

On the base of the Half Logistic – G family of distributions proposed by Cordeiro, Alizadeh and Marinho [2] some mathematical properties are investigated by Almarashi et al. [1]. We study the “saturation” to the horizontal asymptote: t=1 by the new growth function M(t) in the Hausdorff sense. Similar to our previous studies [3-6], in this article we will define and analyze in detail the new family. We will call this family the “Half-Logistic-Inverse-Rayleigh cdf with Polynomial Variable Transfer” (HLIRPVT) cdf. Section 3 shows the potentiality of proposed new model under four real data sets. Some numerical examples using CAS MATHEMATICA are given.

Comments on the Half Logistic Inverse Rayleigh (HLIR) cdf with “Polynomial Variable Transfer”. Some Applications

Cybernetics and Information Technologies

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

On the base of the Half Logistic – G family of distributions proposed by Cordeiro, Alizadeh and Marinho [2] some mathematical properties are investigated by...

Comments on the Half Logistic Inverse Rayleigh (HLIR) cdf with “Polynomial Variable Transfer”. Some Applications

Published Online: Dec 31, 2020

Page range: 82 - 93

Received: Sep 05, 2020

Accepted: Oct 30, 2020

DOI: https://doi.org/10.2478/cait-2020-0063

Keywords
Half-Logistic-Inverse-Rayleigh (HLIR) cdf, Half-Logistic-Inverse-Rayleigh cdf with Polynomial Variable Transfer (HLIRPVT) cdf, “Saturation” in Hausdorff sense, Hausdorff distance, Upper and lower bounds

© 2020 Nikolay Kyurkchiev et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Comments on the Half Logistic Inverse Rayleigh (HLIR) cdf with “Polynomial Variable Transfer”. Some Applications

Published Online: Dec 31, 2020

Page range: 82 - 93

Received: Sep 05, 2020

Accepted: Oct 30, 2020

DOI: https://doi.org/10.2478/cait-2020-0063

KeywordsHalf-Logistic-Inverse-Rayleigh (HLIR) cdf, Half-Logistic-Inverse-Rayleigh cdf with Polynomial Variable Transfer (HLIRPVT) cdf, “Saturation” in Hausdorff sense, Hausdorff distance, Upper and lower bounds

© 2020 Nikolay Kyurkchiev et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Keywords
Half-Logistic-Inverse-Rayleigh (HLIR) cdf, Half-Logistic-Inverse-Rayleigh cdf with Polynomial Variable Transfer (HLIRPVT) cdf, “Saturation” in Hausdorff sense, Hausdorff distance, Upper and lower bounds