Investigating Smooth Multiple Regression by the Method of Average Derivatives (Classic Reprint) - Softcover

Wolfgang Hardle

 
9781330278642: Investigating Smooth Multiple Regression by the Method of Average Derivatives (Classic Reprint)

Synopsis

This book introduces the method of average derivatives (ADE), a groundbreaking technique for analyzing complex relationships between multiple variables. Unlike traditional linear models, ADE captures non-linearities and allows for flexible modeling of real-world data. By estimating the average derivatives of a response variable with respect to individual predictors, the author provides a comprehensive framework for understanding the relative impacts of each variable. The book establishes the statistical properties of ADE, proving its consistency and asymptotic normality, and demonstrates its effectiveness through extensive simulations and a real-data application. The insights gained from ADE offer valuable guidance for data summarization, model interpretation, and decision-making in various fields, making it an essential resource for researchers and practitioners seeking to unravel the complexities of multivariate data.

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