Sequential Ranking Procedures

bution C₁ characteristic function compute condition of Theorem configuration consider continuous distributions control chart corresponding cumulative distribution functions defined determine distri distributed according distribution G(x distribution theory Doctor of Philosophy E₁ expected number F₁ fixed sample hypothesis testing independent and identically independent random variables Lehmann alternatives lemma Let X1 marginal distribution null hypothesis number of observations observation is taken observations X1 order statistic ordinary rank vectors P(C₁ P(E₁ P(SN P(X₁ P(Y₁ P(YN P(Z₁ P₁ parametric statistics particular ordering probability ratio test process control problem rank test reranking S₁ satisfies the condition sequence of observations sequential probability ratio sequential procedures sequential rank vectors SEQUENTIAL RANKING PROCEDURES sequential test Shewhart signed sequential ranks stop the process T₁ terminates with probability test terminates Theorem 5.1 values Wald X's and Y's X₁ Y₁ Z₁ ΣΑ