Nonparametric Sequential Selection Procedures [Paperback]

General Introduction.- 1 Sequential Procedures for Selecting the Best of k ? 2 Binomial Populations Introduction.- 1 Selection Procedures with Unrestricted Patient Horizon.- 1 The Selection Model [2; PW; |SA?SB| = r].- 1.1 Derivation of the critical r-value.- 1.2 Derivation of the expectations.- 2 The Selection Model [2; VT; |SA?SB| = s].- 2.1 Derivation of the critical s-value.- 2.2 Derivation of the expectations.- 3 The Selection Model [2; PL; |FA?FB| = r].- 3.1 Derivation of the critical r-value.- 3.2 Derivation of the expectations.- 4 Comparison of the Selection Procedures No.1-No..- 4.1 Some general remarks.- 4.2 Comparison of PW- and VT-sampling.- 4.3 Comparison of PW- and PL-sampling.- 4.4 Comparison of PL- and VT-sampling.- 4.5 Recapitulation.- 4.6 Concluding remarks.- 4.7 Numerical results.- 5 Two-Stage Selection Procedures.- 5.1 The structure of two-stage selection procedures.- 5.2 Derivation of P(CS).- 5.3 Derivation of s(m,n,kc,M) and r(m,n,kc,M).- 5.4 Derivation of the expectations.- 5.5 Addition of PL-sampling.- 5.6 Concluding remarks.- 5.7 Numerical results.- 6 The Selection Model [2; PW; max{SA,SB} = r].- 6.1 Derivation of the critical r-value.- 6.2 Derivation of the expectations.- 6.3 Expectations for large r.- 7 The Selection Model [2; VT; max{SA,SB} = r].- 7.1 Derivation of the critical r-value.- 7.2 Derivation of the expectations.- 7.3 Expectations for large r.- 8 Comparison of the Selection Models No.6 and No.7  Some Modifications of these Models.- 8.1 Comparison of the selection models no.6 and no.7.- 8.2 The selection model [2; PW; min{FA,FB} = r].- 8.3 The selection model [2; PL; max{FA,FB} = r].- 8.4 Concluding remarks.- 8.5 Numerical results.- 9 The Nature of Termination of a Classical Sequential Selection Procedure.- 9.1 Basic notions.- 9.2 The stopping-behaviour of selection model no.1.- 9.3 The stopping-behaviour of selection model no.2.- 9.4 The stopping-behaviour of the selection models no.3 and no.5.- 9.5 The stopping-behaviour of selCÚ