On The Theoretical Development And Applications Of The Sine Type Ii Generalzed Topp-Leone Exponential Distribution.
DOI:
https://doi.org/10.63561/jmns.v3i1.1160Keywords:
Probability, Exponential, Sine, Topp-Leone, ParameterAbstract
This study introduces and investigates the Sine Type II Generalized Topp-Leone Exponential (STIIGTLE) distribution, a novel extension constructed by integrating the Sine Type II generator with the generalized Topp-Leone exponential baseline model. We derived the fundamental statistical properties of the STIIGTLE distribution, including its probability density function, cumulative distribution function, quantile functions and moments. Parameter estimation is addressed using the maximum likelihood estimation (MLE) and maximum product of spacing (MPS) techniques, and the performance of the estimators is evaluated through simulation studies to access consistency and efficiency under different sample sizes. To demonstrate its practical relevance, the STIIGTLE model is applied to real-life from biomedical field. Comparative analyses with existing distributions reveal that the proposed model provides superior goodness-of-fit, as evidenced by standard selection criteria such as AIC, BIC, and log-likelihood values. The results confirm that the STIIGTLE distribution is a robust and flexible tool for modeling skewed and heavy-tailed data
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