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Estimating regression models with unknown break‐points
Abstract
This paper deals with fitting piecewise terms in regression models where one or more break‐points are true parameters of the model. For estimation, a simple linearization technique is called for, taking advantage of the linear formulation of the problem. As a result, the method is suitable for any regression model with linear predictor and so current software can be used; threshold modelling as function of explanatory variables is also allowed. Differences between the other procedures available are shown and relative merits discussed. Simulations and two examples are presented to illustrate the method. Copyright © 2003 John Wiley & Sons, Ltd.
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“We then determined the threshold E th using an iterative estimation technique based on a Taylor series approximation of [ x ]+ described by Muggeo 94 .”
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Metadata
- Authors
- Muggeo, V. M. R.
- Venue
- Statistics in Medicine
- Publisher
- Wiley
- Published
- 2003-09-08
- Volume
- 22
- Issue
- 19
- Pages
- 3055-3071
- ISSN
- 0277-6715 (ISSN-L)
- 1097-0258
- OpenAlex
- W2136464549
- Cited by
- 2,371
- References
- 20
- FWCI
- 7.17
- Type
- journal article
- Language
- en
- Open access
- closed
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