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Order Restricted Inference


  1. Richard Dykstra,
  2. Hsun-chih Kuo

Published Online: 15 SEP 2006

DOI: 10.1002/9780470057339.vao012

Encyclopedia of Environmetrics

Encyclopedia of Environmetrics

How to Cite

Dykstra, R. and Kuo, H.-c. 2006. Order Restricted Inference. Encyclopedia of Environmetrics. 4.

Author Information

  1. University of Iowa, IA, USA

Publication History

  1. Published Online: 15 SEP 2006


A wide variety of statistical techniques have proven useful in biological and environmental studies. Frequently, these techniques can be improved upon and/or made more powerful if the prior knowledge that certain parameters satisfy an order restriction can be incorporated into the analysis. Moreover, since the existence and implications of orderings can be easily grasped and interpreted by even casual readers and observers, the ability to identify such structure can be especially important. Such structure may exist in many ways. Two possibilities that have been widely discussed are the presence of ordered parameters and the identification of ordered distributions.