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פותח על ידי קלירמאש פתרונות בע"מ -
Dual cones, dual norms, and simultaneous inference for partially ordered means
Year:
1996
Authors :
מרכוס, רות
;
.
Volume :
91
Co-Authors:
Berk, R., Department of Statistics, Rutgers University, New Brunswick, NJ 08903, United States
Marcus, R., Department of Statistics, Volcani Center, Bet Dagan 50250, Israel
Facilitators :
From page:
318
To page:
328
(
Total pages:
11
)
Abstract:
Exact simultaneous one-sided confidence intervals for contrasts in m normal means are discussed. The set K of contrast vectors considered is of one of two forms: Either it is a cone whose coordinates are monotone for a partial ordering defined on the coordinate index set {1, . . . , m} or it is the polar of such a cone. It is shown that the intervals obtained are inverted from test statistics that may be used for testing the null hypothesis that the mean vector μ lies in the dual (or negative polar) cone of K, against the alternative that μ is not in the dual of K. Corresponding conservative two-sided intervals are also discussed The structure of such cones is considered and results concerning dual norms for such cones are obtained. Illustrations for simple ordering, simple-tree, and umbrella orderings are discussed.
Note:
Related Files :
One-sided confidence intervals
Order-restricted inference
Polar cone
simultaneous confidence intervals
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DOI :
Article number:
Affiliations:
Database:
סקופוס
Publication Type:
מאמר
;
.
Language:
אנגלית
Editors' remarks:
ID:
32265
Last updated date:
02/03/2022 17:27
Creation date:
17/04/2018 01:08
Scientific Publication
Dual cones, dual norms, and simultaneous inference for partially ordered means
91
Berk, R., Department of Statistics, Rutgers University, New Brunswick, NJ 08903, United States
Marcus, R., Department of Statistics, Volcani Center, Bet Dagan 50250, Israel
Dual cones, dual norms, and simultaneous inference for partially ordered means
Exact simultaneous one-sided confidence intervals for contrasts in m normal means are discussed. The set K of contrast vectors considered is of one of two forms: Either it is a cone whose coordinates are monotone for a partial ordering defined on the coordinate index set {1, . . . , m} or it is the polar of such a cone. It is shown that the intervals obtained are inverted from test statistics that may be used for testing the null hypothesis that the mean vector μ lies in the dual (or negative polar) cone of K, against the alternative that μ is not in the dual of K. Corresponding conservative two-sided intervals are also discussed The structure of such cones is considered and results concerning dual norms for such cones are obtained. Illustrations for simple ordering, simple-tree, and umbrella orderings are discussed.
Scientific Publication
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