A look at the Garima cumulative distribution function some related problems

In [1] the authors considered the following new two–parameter power Garima (PG) c.d.f.: M(t)=1−θtα+θ+2θ+2e−θtα, where α, θ ∈ R+, t > 0. Also of interest to the specialists is the task of approximating the Heaviside function ht0 (t) where t0 is the median with the new cumulative function in the Ha...

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Bibliographic Details
Main Authors: Malinova, Anna, Rahneva, Olga, Pavlov, Nikolay, Golev, Angel, Kyurkchiev, Vesselin
Format: Conference Proceeding
Language:English
Subjects:
Distribution functions
Programming environments
Online Access:Get full text
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Summary:In [1] the authors considered the following new two–parameter power Garima (PG) c.d.f.: M(t)=1−θtα+θ+2θ+2e−θtα, where α, θ ∈ R+, t > 0. Also of interest to the specialists is the task of approximating the Heaviside function ht0 (t) where t0 is the median with the new cumulative function in the Hausdorff sense. We define a new family of recurrence generated transmuted power Garima (TPG) c.d.f. Mi+1(t)=Mi(t)(μi+1+1−μi+1Mi(t)), i=0,1,2,…,. Some properties and applications to the specific data are given. Numerical examples, illustrating our results are presented using programming environment CAS Mathematica.
ISSN:0094-243X
1551-7616
DOI:10.1063/5.0040121