On Topp-Leone-G Power Series: Saturation in the Hausdorff Sense and Applications

Maria T. Vasileva ()
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Maria T. Vasileva: Faculty of Mathematics and Informatics, University of Plovdiv Paisii Hilendarski, 24 Tzar Asen, 4000 Plovdiv, Bulgaria

Mathematics, 2023, vol. 11, issue 22, 1-11

Abstract: This paper discusses the Topp-Leone-G power series class of distributions. The greatest attention is paid to the investigation of intrinsic characteristic “saturation” to the horizontal asymptote in the Hausdorff sense. Some estimates for the value of the Hausdorff distance are obtained. We present a new family of recurrence generated adaptive functions with corresponding applications. The usefulness of the obtained results is demonstrated in a simulation study of some real data sets from the medical sector and insurance. Some suitable software modules within the programming environment CAS MATHEMATICA are proposed.

Keywords: Topp-Leone distribution; power series distribution; generated family; saturation; Hausdorff distance; Heaviside step function; recurrent family (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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