Toward Enhanced Geological Analysis: A Novel Approach Based on Transmuted Semicircular Distribution

Abstract

This paper introduces a novel semicircular distribution obtained by applying the quadratic rank transmutation map to the stereographic semicircular exponential distribution, referred to as the transmuted stereographic semicircular exponential distribution (TSSCED). This newly proposed distribution exhibits enhanced flexibility compared to the baseline stereographic semicircular exponential distribution (SSCEXP). We conduct a comprehensive analysis of the model’s properties and demonstrate its efficacy in data modeling through the application to a real dataset.

Keywords

• axial data
• characteristics
• stereographic projection
• semicircular model
• transmutation
• quadratic rank transmutation map