On Some Inferential Methods for Cure Rate Models

This book is a comprehensive resource for researchers, statisticians, and practitioners in survival analysis and reliability theory, focusing on cure rate models. It covers theoretical foundations and practical applications, offering insights into key topics such as: Cure Rate Models: Overview of developments and their relevance to real-life data. Inferential Methods: Use of the EM algorithm and other techniques for analyzing cure rate models with real data examples. Adaptive Design Methods: Application in clinical trials, particularly for multiple comparison procedures. Fractional Cumulative Risk Models: Estimation tools for lifetime analysis using fractional-order models. New Probability Distributions: Introduction of the area-biased WAD and length-biased Akshaya (LBA) distributions with cancer data applications. Exponentiated Lindley Distribution: Statistical properties and real-life applications. With real datasets, practical applications, and numerical examples, this book bridges theoretical advancements and empirical evidence, providing a foundation for future research in survival analysis.