Least-squares fitting of marine seismic refraction data

Least Squares Fitting of Data

This is the usual introduction to least squares fit by a line when the data represents measurements where the y–component is assumed to be functionally dependent on the x–component. Given a set of samples {(xi, yi)}i=1, determine A and B so that the line y = Ax + B best fits the samples in the sense that the sum of the squared errors between the yi and the line values Axi + B is minimized. Note...

PEDOMODELS FITTING WITH FUZZY LEAST SQUARES REGRESSION

Pedomodels have become a popular topic in soil science and environmentalresearch. They are predictive functions of certain soil properties based on other easily orcheaply measured properties. The common method for fitting pedomodels is to use classicalregression analysis, based on the assumptions of data crispness and deterministic relationsamong variables. In modeling natural systems such as s...

Least-Squares Fitting of Data with Polynomials

Least-squares Inversion of Spatial Seismic Refraction Data by Ernest R. Kanasewich and Stephen

A method is demonstrated for recording and inverting in-line and broadside seismic refraction and reflection data to obtain three-dimensional structure and velocity information. This technique of spatial seismic refraction recording produces a superabundance of common ray intersections at the target horizon. The full power of the linear least-squares inversion method may be used in the overcons...

Least squares fitting

Technical Note: Review of methods for linear least-squares fitting of data and application to atmospheric chemistry problems C. A. Cantrell National Center for Atmospheric Research, Atmospheric Chemistry Division, 1850 Table Mesa Drive, Boulder, CO 80305, USA Received: 13 February 2008 – Accepted: 21 February 2008 – Published: 1 April 2008 Correspondence to: C. A. Cantrell ([email protected]) P...