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Sequential Estimation Of The Largest Normal Mean


Sequential Estimation Of The Largest Normal Mean
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On Sequential Estimation Of The Largest Normal Mean When The Variance Is Known


On Sequential Estimation Of The Largest Normal Mean When The Variance Is Known
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Author : Raymond J. Carroll
language : en
Publisher:
Release Date : 1977

On Sequential Estimation Of The Largest Normal Mean When The Variance Is Known written by Raymond J. Carroll and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1977 with categories.


A class of stopping times is defined for estimating the largest of k normal means when the variance is known. The class can achieve significant reduction in sample size compared to a related procedure because it employs an elimination feature which halts sampling on populations furnishing no information about the largest mean. The asymptotic behavior of the stopping times and the mean square consistency of the estimators are studied.



Sequential Estimation Of The Largest Normal Mean When The Variance Is Known


Sequential Estimation Of The Largest Normal Mean When The Variance Is Known
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Author : Saul Blumenthal
language : en
Publisher:
Release Date : 1973

Sequential Estimation Of The Largest Normal Mean When The Variance Is Known written by Saul Blumenthal and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973 with Estimation theory categories.


Given n observations from each of k normal populations with common known variance (sigma squared), the value of the largest of the k means (whose values are not known) is to be estimated using the largest value of the k sample means. It is desired to design a sampling rule which guarantees that the Mean Squared Error (M.S.E.) of the estimate does not exceed a given bound regardless of the configuration of values of the k means. (Author Modified Abstract).



Sequential Estimation Of The Largest Normal Mean


Sequential Estimation Of The Largest Normal Mean
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Author : Saul Blumenthal
language : en
Publisher:
Release Date : 1973

Sequential Estimation Of The Largest Normal Mean written by Saul Blumenthal and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973 with Estimation theory categories.


Given n observations from each of k populations whose distributions differ by a location parameter, the value of the largest parameter is to be estimated using the largest value of the k sample means. It is desired to design a sampling rule which guarantees that the Mean Squared Error (M.S.E.) of the estimate does not exceed a given bound when the distributions have a common but unknown scale parameter. A sequential sampling scheme is devised based on an estimate of the scale parameter and a least favorable configuration of the location parameters. The sample size characteristics of the sampling plan studied under mild restrictions on the distributions involved. The M.S.E. of the resulting estimator is studied under the additional assumption of normality. A brief discussion is given of an alternate sequential plan which uses information in the sample regarding the configuration of the location parameters. (Author).



Sequential Estimation Of The Mean Of A Normal Population


Sequential Estimation Of The Mean Of A Normal Population
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Author : Herbert Robbins
language : en
Publisher:
Release Date : 1958

Sequential Estimation Of The Mean Of A Normal Population written by Herbert Robbins and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1958 with Estimation theory categories.




A Study Of Sequential Procedures For Estimating The Larger Mean


A Study Of Sequential Procedures For Estimating The Larger Mean
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Author : Raymond J. Carroll
language : en
Publisher:
Release Date : 1978

A Study Of Sequential Procedures For Estimating The Larger Mean written by Raymond J. Carroll and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1978 with Sequential analysis categories.


Blumenthal considered the problem of sequential estimation of the largest of k normal means when a bound is set on the acceptable mean square error. He showed that his procedure results in only a small savings in sample size when compared to a conservative fixed sample procedure for the case of known variance. Carroll criticized this procedure because it does not give the user the flexibility of sampling selectively from the k populations. Carroll defined a procedure which early in the experiment eliminates from further consideration those populations which are obviously not associated with the largest mean and hence provide little relevant information; his theoretical large-sample calculations indicate possible large savings in sample size with no corresponding increase in mean square error. In this paper we contrast the small sample behavior of the two approaches by means of a Monte-Carlo simulation study; both known and unknown variance are considered. (Author).



Sequential Estimation


Sequential Estimation
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Author : Malay Ghosh
language : en
Publisher: John Wiley & Sons
Release Date : 2011-09-09

Sequential Estimation written by Malay Ghosh and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-09-09 with Mathematics categories.


The only comprehensive guide to the theory and practice of one oftoday's most important probabilistic techniques The past 15 years have witnessed many significant advances insequential estimation, especially in the areas of three-stage andnonparametric methodology. Yet, until now, there were no referencesdevoted exclusively to this rapidly growing statisticalfield. Sequential Estimation is the first, single-source guide to thetheory and practice of both classical and modern sequentialestimation techniques--including parametric and nonparametricmethods. Researchers in sequential analysis will appreciate theunified, logically integrated treatment of the subject, as well ascoverage of important contemporary procedures not covered in moregeneral sequential analysis texts, such as: * Shrinkage estimation * Empirical and hierarchical Bayes procedures * Multistage sampling and accelerated sampling procedures * Time-sequential estimation * Sequential estimation in finite population sampling * Reliability estimation and capture-recapture methodologiesleading to sequential tagging schemes An indispensable resource for researchers in sequential analysis,Sequential Estimation is an ideal graduate-level text as well.



Sequential Estimation Of The Common Mean Of Two Normal Populations


Sequential Estimation Of The Common Mean Of Two Normal Populations
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Author : Ashim Kumar Mallik
language : en
Publisher:
Release Date : 1971

Sequential Estimation Of The Common Mean Of Two Normal Populations written by Ashim Kumar Mallik and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1971 with Sequential analysis categories.




A Study Of Sequential Procedures For Estimating The Largest Of Three Normal Means


A Study Of Sequential Procedures For Estimating The Largest Of Three Normal Means
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Author : Raymond J. Carroll
language : en
Publisher:
Release Date : 1979

A Study Of Sequential Procedures For Estimating The Largest Of Three Normal Means written by Raymond J. Carroll and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979 with Sequential analysis categories.




Nbs Special Publication


Nbs Special Publication
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Author :
language : en
Publisher:
Release Date : 1970

Nbs Special Publication written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1970 with Weights and measures categories.




Handbook Of Sequential Analysis


Handbook Of Sequential Analysis
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Author : B.K. Ghosh
language : en
Publisher: CRC Press
Release Date : 1991-04-24

Handbook Of Sequential Analysis written by B.K. Ghosh and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991-04-24 with Mathematics categories.


Sequential analysis refers to the body of statistical theory and methods where the sample size may depend in a random manner on the accumulating data. A formal theory in which optimal tests are derived for simple statistical hypotheses in such a framework was developed by Abraham Wald in the early 1