Study of Optimal Adaptive Rule in Testing Problem

Study of Optimal Adaptive Rule in Testing Composite Hypothesis

“…Both the above procedures were extensively studied in Bhandari et al (2007) in the context of testing the simple hypothesis in sequential adaptive test procedures. Now for testing the composite hypothesis, we state the following procedure which is an extension of Procedure I using LR n with plug-in values ofˆ 0 n andˆ 1 n .…”

“…In RPTW rule and other rules prior to Bhandari et al (2007), the ratio of allocation to the two treatments tends to a positive constant bounded away from zero as the total sample number n tends to infinity. For the case of testing simple hypothesis in parametric setup, Bhandari et al (2007) has given Procedure I and Procedure II in which the said ratio tends to zero.…”

“…For the case of testing simple hypothesis in parametric setup, Bhandari et al (2007) has given Procedure I and Procedure II in which the said ratio tends to zero. Moreover, the number of allocation to the less effective treatment tends to a finite number even if the total sample number tends to infinity.…”