Theory of Optimal Designs:
Gespeichert in:
1. Verfasser: | |
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Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
New York, NY
Springer New York
1989
|
Schriftenreihe: | Lecture Notes in Statistics
54 |
Schlagworte: | |
Online-Zugang: | Volltext |
Beschreibung: | There has been an enormous growth in recent years in the literature on discrete optimal designs. The optimality problems have been formulated in various models arising in the experimental designs and substantial progress has been made towards solving some of these. The subject has now reached a stage of completeness which calls for a self-contained monograph on this topic. The aim of this monograph is to present the state of the art and to focus on more recent advances in this rapidly developing area. We start with a discussion of statistical optimality criteria in Chapter One. Chapters Two and Three deal with optimal block designs. Row-column designs are dealt with in Chapter Four. In Chapter Five we deal with optimal designs with mixed effects models. Repeated measurement designs are considered in Chapter Six. Chapter Seven deals with some special situations and Weighing designs are dis cussed in Chapter Eight. We have endeavoured to include all the major developments that have taken place in the last three decades. The book should be of use to research workers in several areas including combinatorics as well as to the experimenters in diverse fields of applications. Since the details of the construction of the designs are available in excellent books, we have only pointed out the designs which have optimality proper ties. We believe, this will be adequate for the experimenters |
Beschreibung: | 1 Online-Ressource (VIII, 171p) |
ISBN: | 9781461236627 9780387969916 |
ISSN: | 0930-0325 |
DOI: | 10.1007/978-1-4612-3662-7 |
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Datensatz im Suchindex
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any_adam_object | |
author | Shah, Kirti R. |
author_facet | Shah, Kirti R. |
author_role | aut |
author_sort | Shah, Kirti R. |
author_variant | k r s kr krs |
building | Verbundindex |
bvnumber | BV042420145 |
classification_tum | MAT 000 |
collection | ZDB-2-SMA ZDB-2-BAE |
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dewey-full | 519.5 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 519 - Probabilities and applied mathematics |
dewey-raw | 519.5 |
dewey-search | 519.5 |
dewey-sort | 3519.5 |
dewey-tens | 510 - Mathematics |
discipline | Mathematik |
doi_str_mv | 10.1007/978-1-4612-3662-7 |
format | Electronic eBook |
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id | DE-604.BV042420145 |
illustrated | Not Illustrated |
indexdate | 2024-07-10T01:21:06Z |
institution | BVB |
isbn | 9781461236627 9780387969916 |
issn | 0930-0325 |
language | English |
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physical | 1 Online-Ressource (VIII, 171p) |
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publishDate | 1989 |
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publisher | Springer New York |
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series2 | Lecture Notes in Statistics |
spelling | Shah, Kirti R. Verfasser aut Theory of Optimal Designs by Kirti R. Shah, Bikas K. Sinha New York, NY Springer New York 1989 1 Online-Ressource (VIII, 171p) txt rdacontent c rdamedia cr rdacarrier Lecture Notes in Statistics 54 0930-0325 There has been an enormous growth in recent years in the literature on discrete optimal designs. The optimality problems have been formulated in various models arising in the experimental designs and substantial progress has been made towards solving some of these. The subject has now reached a stage of completeness which calls for a self-contained monograph on this topic. The aim of this monograph is to present the state of the art and to focus on more recent advances in this rapidly developing area. We start with a discussion of statistical optimality criteria in Chapter One. Chapters Two and Three deal with optimal block designs. Row-column designs are dealt with in Chapter Four. In Chapter Five we deal with optimal designs with mixed effects models. Repeated measurement designs are considered in Chapter Six. Chapter Seven deals with some special situations and Weighing designs are dis cussed in Chapter Eight. We have endeavoured to include all the major developments that have taken place in the last three decades. The book should be of use to research workers in several areas including combinatorics as well as to the experimenters in diverse fields of applications. Since the details of the construction of the designs are available in excellent books, we have only pointed out the designs which have optimality proper ties. We believe, this will be adequate for the experimenters Statistics Statistics, general Statistik Optimale Versuchsplanung (DE-588)4043660-3 gnd rswk-swf Optimale Versuchsplanung (DE-588)4043660-3 s 1\p DE-604 Sinha, Bikas K. Sonstige oth https://doi.org/10.1007/978-1-4612-3662-7 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
spellingShingle | Shah, Kirti R. Theory of Optimal Designs Statistics Statistics, general Statistik Optimale Versuchsplanung (DE-588)4043660-3 gnd |
subject_GND | (DE-588)4043660-3 |
title | Theory of Optimal Designs |
title_auth | Theory of Optimal Designs |
title_exact_search | Theory of Optimal Designs |
title_full | Theory of Optimal Designs by Kirti R. Shah, Bikas K. Sinha |
title_fullStr | Theory of Optimal Designs by Kirti R. Shah, Bikas K. Sinha |
title_full_unstemmed | Theory of Optimal Designs by Kirti R. Shah, Bikas K. Sinha |
title_short | Theory of Optimal Designs |
title_sort | theory of optimal designs |
topic | Statistics Statistics, general Statistik Optimale Versuchsplanung (DE-588)4043660-3 gnd |
topic_facet | Statistics Statistics, general Statistik Optimale Versuchsplanung |
url | https://doi.org/10.1007/978-1-4612-3662-7 |
work_keys_str_mv | AT shahkirtir theoryofoptimaldesigns AT sinhabikask theoryofoptimaldesigns |