Statistical Constraints
This work addresses the integration of statistical reasoning into constraint programming for researchers and practitioners in optimization and statistics.
The paper introduces statistical constraints as a declarative modeling tool to bridge statistics and constraint programming, developing two constraints with filtering algorithms and demonstrating applications in standard statistical problems and a novel inspection scheduling problem.
We introduce statistical constraints, a declarative modelling tool that links statistics and constraint programming. We discuss two statistical constraints and some associated filtering algorithms. Finally, we illustrate applications to standard problems encountered in statistics and to a novel inspection scheduling problem in which the aim is to find inspection plans with desirable statistical properties.