Abstract
Prior information regarding a statistical model frequently constrains the shape of the parameter set and can often be quantified by placing inequality constraints on the parameters. For example, the expected response or the probability of a specific response may increase or decrease with the treatment level; a regression function may be nondecreasing or convex or both; the failure rate of a component may increase as it ages; or the treatment response may stochastically dominate the control. The fact that utilization of such ordering information increases the efficiency of procedures developed for statistical inference is well documented. The onetailed two-sample t-test provides a familiar example in which the procedure which utilizes the prior information (the one-sided test) dominates procedures which ignore this information.
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© 1986 Springer-Verlag Berlin Heidelberg
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Dykstra, R., Robertson, T., Wright, F.T. (1986). Introduction. In: Dykstra, R., Robertson, T., Wright, F.T. (eds) Advances in Order Restricted Statistical Inference. Lecture Notes in Statistics, vol 37. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-9940-7_1
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DOI: https://doi.org/10.1007/978-1-4613-9940-7_1
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