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Author: Shanti S. Gupta Publisher: 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).
Author: Shanti S. Gupta Publisher: 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).
Author: Madan L. Puri Publisher: Springer Science & Business Media ISBN: 9400939655 Category : Mathematics Languages : en Pages : 264
Book Description
The past several years have seen the creation and extension of a very conclusive theory of statistics and probability. Many of the research workers who have been concerned with both probability and statistics felt the need for meetings that provide an opportunity for personal con tacts among scholars whose fields of specialization cover broad spectra in bothstatistics and probability: to discuss major open problems and new solutions, and to provide encouragement for further research through the lectures of carefully selected scholars, moreover to introduce to younger colleagues the latest research techniques and thus to stimulate their interest in research. To meet these goals, the series of Pannonian Symposia on Mathematical Statistics was organized, beginning in the year 1979: the first, second and fourth one in Bad Tatzmannsdorf, Burgenland, Austria, the third and fifth in Visegrad, Hungary. The Sixth Pannonian Symposium was held in Bad Tatzmannsdorf again, in the time between 14 and 20 September 1986, under the auspices of Dr. Heinz FISCHER, Federal Minister of Science and Research, Theodor KERY, President of the State Government of Burgenland, Dr. Franz SAUERZOPF, Vice-President of the State Govern ment of Burgenland and Dr. Josef SCHMIDL, President of the Austrian Sta tistical Central Office. The members of the Honorary Committee were Pal ERDOS, WXadisXaw ORLICZ, Pal REVESZ, Leopold SCHMETTERER and Istvan VINCZE; those of the Organizing Committee were Wilfried GROSSMANN (Uni versity of Vienna), Franz KONECNY (University of Agriculture of Vienna) and, as the chairman, Wolfgang WERTZ (Technical University of Vienna) .
Author: Publisher: ISBN: Category : Aeronautics Languages : en Pages : 784
Book Description
Lists citations with abstracts for aerospace related reports obtained from world wide sources and announces documents that have recently been entered into the NASA Scientific and Technical Information Database.
Author: Shanti S. Gupta Publisher: ISBN: Category : Languages : en Pages : 27
Book Description
There are instances in the biological and physical sciences in which a linear relationship between the sample means and the sample standard deviations seems to exist. It is not unreasonable in such cases to assume that the population standard deviation sigma is a multiple of the population mean Theta, i.e. sigma = (sq.rt.b) Theta, b> 0, and Theta also is assumed to be positive. The purpose of this paper is to investigate some problems of selection when the k underlying populations are normal with unknown positive means Theta sub 1, ..., Theta sub k and a common known coefficient of variation sq.rt.b. Three selection rules are investigated, and some comparisons are made among these rules. (Author).
Author: Shanti S. Gupta Publisher: ISBN: Category : Languages : en Pages : 22
Book Description
This paper deals with the problem of selecting the population associated with the largest unknown mean from several normal populations having a common unknown coefficient of variation. Both subset selection and indifference zone approaches are studied. Based on the observed sample means and sample standard deviations, a subset selection rule is proposed. Some properties related to this selection rule are discussed. For the indifference zone approach, a two-stage elimination type selection rule is considered. If the experimenter has some prior knowledge about an upper bound on the unknown means, modification is introduced to reduce the size of the selected subset at the first stage and also to reduce the sample size at the second stage. An example is provided which indicates that the saving of total sample size is quite significant if this prior knowledge is taken into consideration in designing the selection rule. It is shown how to implement the above selection rules by using several existing tables. (Author).
Author: Shanti S. Gupta
Author: Shanti S. Gupta
Author: Madan L. Puri
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Author: Shanti S. Gupta
Author: Jean Dickinson Gibbons
Author: Shanti S. Gupta
Author: Andrew Scott George
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Author: Fu-Hsiu Chiang
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