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Curve fitting with linear programming
ACM SIGMAP Bulletin, 1975The classical problem of "fitting" a curve to a set of data is as follows: given a set of N data points (x j , y j ) j = l,..., N, find a value for "m" (slope) and "b" (Y-intercept) such that the curve y = mx+b "best" fits the data. If each of the N data points lies on the curve y = mx+b (i.e.
H. Swanson, R. E. D. Woolsey
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Optimal Curve Fitting With Piecewise Linear Functions
IEEE Transactions on Computers, 1971A method is described for determining an optimal straight-line segment approximation to specified functions for constrained and unconstrained endpoints.
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Fitting Linear Hierarchical Models
2011We now shift to the analysis of hierarchical data using mixed-effects models. These models are a natural match for many problems that occur commonly in natural resources. A number of the tools that we discuss in this chapter are extensively documented in Pinheiro and Bates (2000), and our goal is to complement that resource, not replace it. Although we
Andrew P. Robinson, Jeff D. Hamann
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Linear Regression and Curve Fitting
2010The chapter starts from the description of Java classes designed for a linear-regression analysis and then describes a non-linear case, when a relationship between variables cannot be explained by a linear behavior. This chapter covers how to fit data using arbitrary mathematical functions in one and two dimensions using Java numerical libraries.
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Curve Fitting with Linear Regression
1992With test data it is often necessary to determine a relationship between the two sets of numbers, for interpolation and extrapolation. It is possible to graph the data as linear, semi-log or log plots to determine the equation and constants. The XY line then is a visual estimate of the average point positions. A more accurate method is to determine the
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M-Smoother with local Linear Fit
Journal of Nonparametric Statistics, 2002Fred Godtliebsen, Håvard Rue
exaly
Alternative Goodness-of-Fit Tests for Linear Models
Journal of the American Statistical Association, 2010Ronald Christensen
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Goodness-of-fit Testing in High Dimensional Generalized Linear Models
Journal of the Royal Statistical Society Series B: Statistical Methodology, 2020Jana Jankova +2 more
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