TY - JOUR
T1 - Locally Most Powerful Rank Tests for Multiple-Censored Data
AU - Mehrotra, K. G.
AU - Johnson, R. A.
AU - Bhattacharyya, G. K.
N1 - Funding Information:
This work was done while the first, author was QII leave at the University of Wisconsin. Research sponsored by the A i r Force Office of Scientific Research under Grant No. AFOSR 72-2363-C.
PY - 1977/1/1
Y1 - 1977/1/1
N2 - A locally most powerful rank test is derived for multiple censored data in the context of a two-sample problem where the alternatives involve a single parameter. With independent random samples X1,‥, Xm and Y1,‥, Yn, from F and G respectively, let the combined samnle order statistics be denoted by W1, ‥, WN where N = m+n. We present results for the triple censoring scheme where two blocks of order statistics, Wk1 to Wk2 and Wk3 to Wk4 are observed in addition to recording the number of X’s and Y's among the censored values. These extend the derivation of optimal rank tests for single censored data to the multiple censored situation.
AB - A locally most powerful rank test is derived for multiple censored data in the context of a two-sample problem where the alternatives involve a single parameter. With independent random samples X1,‥, Xm and Y1,‥, Yn, from F and G respectively, let the combined samnle order statistics be denoted by W1, ‥, WN where N = m+n. We present results for the triple censoring scheme where two blocks of order statistics, Wk1 to Wk2 and Wk3 to Wk4 are observed in addition to recording the number of X’s and Y's among the censored values. These extend the derivation of optimal rank tests for single censored data to the multiple censored situation.
KW - hazard rate
KW - multiple censoring
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U2 - 10.1080/03610927708827506
DO - 10.1080/03610927708827506
M3 - Article
AN - SCOPUS:70350345002
SN - 0361-0926
VL - 6
SP - 459
EP - 469
JO - Communications in Statistics - Theory and Methods
JF - Communications in Statistics - Theory and Methods
IS - 5
ER -