ON STEREOGRAPHIC SEMICIRCULAR ERLANG DISTRIBUTION WITH APPLICATION

Autor: Radhika A. J. V., Phani Yedlapalli, Peddi Raju Ch., Kishore G.N.V., Sri Krishna A., Pradeep Kumar
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: Proceedings on Engineering Sciences, Vol 6, Iss 3, Pp 1299-1308 (2024)
Druh dokumentu: article
ISSN: 2620-2832
2683-4111
DOI: 10.24874/PES.SI.24.03.016
Popis: In this research paper, we present an innovative investigation into a novel two parameter semicircular distribution, termed the “stereographic semicircular Erlang distribution,” which is constructed using the inverse stereographic projection (ISP) technique. This distribution serves as advancement over the existing stereographic semicircular exponential distribution. We delve into essential mathematical properties of this distribution and execute a simulation study to estimate its parameter values. Furthermore, we perform an empirical analysis utilizing a dataset comprising posterior corneal curvature measurements extracted from the eyes of 23 patients. This empirical assessment is designed to evaluate the adaptability and potential applicability of the proposed distribution within the realm of ophthalmology in medical science.
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