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An isotonic regression algorithm
Authors:Richard L Dykstra
Institution:University of Missouri-Columbia, Columbia, MO 65211, USA
Abstract:A ‘pooling sets’ type of algorithm is developed and shown to be valid for computing an isotonic regression function for a general quasi-order. The method is direct and intuitive. The algorithm works best when the quasi-order is complex and the objective function is nearly isotonic. An example is worked out in detail.
Keywords:90C99  Isotonic Regression  Quasi-Order  Minimal Violator  Maximal Violatee  Least Squares  Pooling Algorithm
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