Predictor Sort Sampling and One-Sided Confidence Bounds on Quantiles

摘要

Engineers who design wooden structures must try to ensure that the strengths of the wooden members of their structures exceed the loads to which the members will be subjected. One approach to this problem is to design so that expected loads do not exceed allowable strength properties associated with particular structural wood products (e.g., lumber, laminated beams, wooden I-beams). Allowable properties for structural wood products are determined experimentally by taking a sample from the population of wood products, obtaining a lower one-sided confidence bound on the fifth percentile of the distribution of the strength property in question (for example, modulus of rupture), and then dividing this bound by a safety and duration of load factor.