In [1] the authors considered the following new two-parameter power Garima (PG) c.d.f.: M(t) = 1 - (θt~α + θ + 2)/(θ + 2) e~(-θt~α), where α, θ ∈ R~+, t > 0. Also of interest to the specialists is the task of approximating the Heaviside function h_(t_0) (t) where t_0 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. M_(i+1)(t) = M_i(t)(μ_(i+1) + 1 - μ_(i+1)M_i(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.
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