TY - JOUR
T1 - On two-stage selection procedures and related probability-inequalities
AU - Rinott, Yosef
PY - 1978/1/1
Y1 - 1978/1/1
N2 - In this paper we discuss a modification of the Dudewicz-Dalal procedure for the problem of selecting the population with the largest mean from k normal populations with unknown variances. We derive some inequalities and use them to lower-bound the probability of correct selection. These bounds are applied to the determination of the second-stage sample size which is required in order to achieve a prescribed probability of correct selection. We discuss the resulting procedure and compare it to that of Dudewicz and Dalai (1975).
AB - In this paper we discuss a modification of the Dudewicz-Dalal procedure for the problem of selecting the population with the largest mean from k normal populations with unknown variances. We derive some inequalities and use them to lower-bound the probability of correct selection. These bounds are applied to the determination of the second-stage sample size which is required in order to achieve a prescribed probability of correct selection. We discuss the resulting procedure and compare it to that of Dudewicz and Dalai (1975).
KW - normal means
KW - probability of correct selection
KW - unknown variances
UR - http://www.scopus.com/inward/record.url?scp=0001552833&partnerID=8YFLogxK
U2 - 10.1080/03610927808827671
DO - 10.1080/03610927808827671
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AN - SCOPUS:0001552833
SN - 0361-0926
VL - 7
SP - 799
EP - 811
JO - Communications in Statistics - Theory and Methods
JF - Communications in Statistics - Theory and Methods
IS - 8
ER -