Two-phase nonlinear regression with smooth transition

A method of estimating parameters of twophase nonlinear regression with smooth transition between phases is described. It consists of two stages, both utilizing the least square fit. In the first one, each phase is fitted separately and, simultaneously, a transition point is determined. In the secon...

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Bibliographic Details
Published in:Communications in statistics. Simulation and computation 2000-01, Vol.29 (2), p.385-397
Main Authors: Walkowiak, Ryszard, Kala, Radoslaw
Format: Article
Language:English
Subjects:
Exact sciences and technology
least square method
Linear inference, regression
Mathematics
nonlinear regression
Probability and statistics
Sciences and techniques of general use
Statistics
transition function
transition point
two-phase regression
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Summary:A method of estimating parameters of twophase nonlinear regression with smooth transition between phases is described. It consists of two stages, both utilizing the least square fit. In the first one, each phase is fitted separately and, simultaneously, a transition point is determined. In the second stage, the two phases are joined smoothly by a proper transition function, which depends on the transition point chosen by the grid search. The practical aspects of the method proposed are demonstrated on the data concerning the soil bulk density in dependence on the soil water content.
ISSN:0361-0918
1532-4141
DOI:10.1080/03610910008813618