A New Stereographic T-X Family Probability Distribution

Authors

  • Durgada Vara Lakshmi Prasanna Research Scholar, J.N.T.U.K, Kakinada, Assistant Professor, Department of Mathematics, Aditya University, Surampalem, Andhra Pradesh, India
  • Rachakonda Subba Rao Department of Engineering Mathematics & Humanities, S.R.K.R Engineering College, Bhimavaram, Andhra Pradesh, India
  • Gunturu Venkata Sita Rama Deekshitulu Department of Mathematics, J.N.T.U.K, Kakinada, Andhra Pradesh, India

Keywords:

Characteristic function, trigonometric moments, inverse stereographic projection, reliability analysis

Abstract

A new circular Transformed Transformer family distribution-Stereographic Weibull Rayleigh Distribution (SWRD), is generated by adopting the methodology of inverse stereographic projection. The graphs of probability density function(pdf) and cumulative probability distribution functions(cdf) are plotted, both in linear and circular forms. A few characteristics like trigonometric moments, central trigonometric moments, mean, variance, circular standard deviation, skewness, kurtosis of SWRD are evaluated. Also reliability, hazard function and reverse hazard function of SWRD are studied. A real data set is considered to study the goodness of fit for the proposed model. The suitable graphs are also presented for the assumed distribution.

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Published

2025-06-24

How to Cite

Vara Lakshmi Prasanna, D. ., Subba Rao, R. ., & Venkata Sita Rama Deekshitulu , G. . (2025). A New Stereographic T-X Family Probability Distribution. Thailand Statistician, 23(3), 501–511. retrieved from https://ph02.tci-thaijo.org/index.php/thaistat/article/view/259922

Issue

Vol. 23 No. 3 (2025): July

Section

Articles

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