SURVIVAL ANALYSIS OF AREA BIASED GENERALIZED SAULEH DISTRIBUTION WITH STATISTICAL PROPERTIES AND APPLICATIONS.

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Bibliographic Details
Title:	SURVIVAL ANALYSIS OF AREA BIASED GENERALIZED SAULEH DISTRIBUTION WITH STATISTICAL PROPERTIES AND APPLICATIONS.
Authors:	Arulmozhi, V.¹ arulmozhiv16@gmail.com, Sivaranjani, R.² sivaranjani160692@gmail.com, Poovizhi, K.³ poovizhimsc2016@gmail.com
Source:	Reliability: Theory & Applications. Dec2025, Vol. 20 Issue 4, p895-904. 10p.
Subjects:	Survival analysis (Biometry), Hazard function (Statistics), Parameter estimation, Maximum likelihood statistics, Overall survival, Statistical measurement, Distribution (Probability theory), Reliability in engineering
Abstract:	The "Sauleh distribution" is a novel lifespan distribution that is suggested by this study. Among the statistical and mathematical features that have been discussed are the PDF and CDF. Numerous helpful statistical features are derived, including the Area Biased Generalized Sauleh distribution's hazard rate function, reverse hazard rate function, order statistics, moments, measure of skewness, and measure of kurtosis. It uses the well-known maximum likelihood outcome approach to estimate the parameter of the distribution. To demonstrate this distribution's adaptability and superiority over alternative distributions, a comparative analysis is conducted in the end. It establishes its significance in reliability engineering by producing a rich class of distributions that may capture various shapes and behaviors and, as a result, enable better fitting to empirical data. Real-world data sets are used to establish the use of this novel distribution. Melanoma patient survival data has demonstrated the effectiveness of the proposed distribution; it is concluded that the produced distribution provides a superior fit. [ABSTRACT FROM AUTHOR]
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Database:	Engineering Source

Description
Abstract:	The "Sauleh distribution" is a novel lifespan distribution that is suggested by this study. Among the statistical and mathematical features that have been discussed are the PDF and CDF. Numerous helpful statistical features are derived, including the Area Biased Generalized Sauleh distribution's hazard rate function, reverse hazard rate function, order statistics, moments, measure of skewness, and measure of kurtosis. It uses the well-known maximum likelihood outcome approach to estimate the parameter of the distribution. To demonstrate this distribution's adaptability and superiority over alternative distributions, a comparative analysis is conducted in the end. It establishes its significance in reliability engineering by producing a rich class of distributions that may capture various shapes and behaviors and, as a result, enable better fitting to empirical data. Real-world data sets are used to establish the use of this novel distribution. Melanoma patient survival data has demonstrated the effectiveness of the proposed distribution; it is concluded that the produced distribution provides a superior fit. [ABSTRACT FROM AUTHOR]
ISSN:	19322321
DOI:	10.24412/1932-2321-2025-489-895-904