Items related to Nonlinear Least Squares Regression Using Starpac

Nonlinear Least Squares Regression Using Starpac - Softcover

Janet R. Donaldson

 
9780260613547: Nonlinear Least Squares Regression Using Starpac

Synopsis

This book explores the principles of nonlinear least squares regression — a form of statistical analysis that allows for the modeling of variables that do not follow a linear path. The author provides a detailed exposition of the techniques and algorithms used to solve nonlinear least squares problems and discusses several methods for both approximating and checking the derivatives of the model with respect to each parameter. The author emphasizes practical considerations and provides detailed guidance on coding and using STARPAC, a library of Fortran subroutines for statistical data analysis. Through worked examples, the author illustrates how to select optimal step sizes for approximating the derivatives numerically, how to numerically verify the correctness of user-supplied derivatives, and how to handle problems that arise from the singularity of the model or from false convergence. This book is written to be accessible to anyone with a working knowledge of the basics of linear least squares analysis, and is a valuable resource for statisticians, engineers, and scientists who need to analyze nonlinear data.

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