Author: Fu-Hsiu ChiangPublisher:
ISBN:
Category :
Languages : en
Pages : 30
Book Description
On Some Subset Selection Procedures for Selecting the Normal Population with the Largest Absolute Mean
Author: Fu-Hsiu ChiangOn Subset Selection Procedures for the Largest Mean from Normal Populations Having a Common Known Coefficient of Variation
Author: Shanti S. GuptaPublisher:
ISBN:
Category :
Languages : en
Pages : 20
Book Description
The problem of selecting a subset of k normal populations which includes the population associated with the largest mean is considered for the situation in which the normal populations have a common known coefficient of variation. Subset selection rules based on best asymptotically normal (BAN) estimators of the mean have been studied in the literature and tables based on large sample theory for implementing these rules exist. The authors have compared these rules to a selection rule based on sample variances, and limited study suggest that, when n is large, the difference between the rules based on BAN estimates and the variance rule, in terms of the expected proportion of the selected subset, is minimal. Moreover, since the exact distribution theory for BAN estimates is too complicated, and these BAN estimates are much harder to compute than the sample variances, the selection rule based on the sample variances may be preferred. (Author).
Selecting and Ordering Populations
Author: Jean Dickinson GibbonsPublisher: SIAM
ISBN: 0898714397
Category : Mathematics
Languages : en
Pages : 589
Book Description
Provides a compendium of applied aspects of ordering and selection procedures.
On the Performance of Subset Selection Procedures Under Normality
Author: Shanti S. GuptaPublisher:
ISBN:
Category :
Languages : en
Pages : 25
Book Description
From k normal populations N(t1,t1(2)) ..., N(tk, tk(2), where the means t1,tk in R are unknown, and the variances t1(2) ..., tk(2)> 0 are known, independent random samples of sizes n1 ..., nk, respectively, are drawn. Based on these observations, a non-empty subset of these k populations of preferably small size has to be selected, which contains the population with the largest mean with probability of the lest P() at every parameter configuration. Several subset selection procedures which have been proposed in the literature are compared with Bayes selection procedures for normal priors under two natural type of loss functions. Two new subset selection procedures are considered.
Multiple Decision Procedures
Author: Shanti S. GuptaPublisher: SIAM
ISBN: 0898715326
Category : Mathematics
Languages : en
Pages : 592
Book Description
An encyclopaedic coverage of the literature in the area of ranking and selection procedures. It also deals with the estimation of unknown ordered parameters. This book can serve as a text for a graduate topics course in ranking and selection. It is also a valuable reference for researchers and practitioners.
Quality Control and Applied Statistics
Author: Publisher:
ISBN:
Category : Operations research
Languages : en
Pages : 1214
Book Description
Comparisons Among Treatment Means in an Analysis of Variance
Author: Victor ChewPublisher:
ISBN:
Category : Analysis of variance
Languages : en
Pages : 72
Book Description
On the Performance of Subset Selection Procedures Under Normality
Author: Shanti S. GuptaPublisher:
ISBN:
Category :
Languages : en
Pages : 0
Book Description
From k normal populations N(t1,t1(2)) ..., N(tk, tk(2), where the means t1,tk in R are unknown, and the variances t1(2) ..., tk(2)> 0 are known, independent random samples of sizes n1 ..., nk, respectively, are drawn. Based on these observations, a non-empty subset of these k populations of preferably small size has to be selected, which contains the population with the largest mean with probability of the lest P() at every parameter configuration. Several subset selection procedures which have been proposed in the literature are compared with Bayes selection procedures for normal priors under two natural type of loss functions. Two new subset selection procedures are considered.
Research in Progress
Author: Ranking and Selection Problems of Normal Population Using the Absolute Values of Their Means
Author: Mohammad Haseeb RizviPublisher:
ISBN:
Category : Mathematical statistics
Languages : en
Pages : 124
Book Description