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Estimation of Variance Components
in Mixed Linear Models
Taschenbuch von Jambulingam Subramani
Sprache: Englisch

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Beschreibung
Estimation of variance components in mixed linear models is an important problem in statistical inference to draw a valid and meaningful interpretation in many practical areas of research. ANOVA, Analogous to ANOVA, SS Approach, ML, REML, MML, MINQUE, MIVQUE and QLSE are some of the important methods available in literature for estimation of variance components in general mixed linear models. In this book we have introduced MTE, WQLSE and modified MIVQUE estimators and also derived their variances and also the covariance matrices. In fact we have presented the explicit computable expressions for the computation of MTE, WQLSE, Modified MIVQUE estimators and their covariance matrices. The relative performance of MTE, QLSE, WQLSE, MIVQUE and Modified MIVQUE estimators are assessed by numerical evaluations based on different optimality criteria like T-Optimality, D-Optimality and M-Optimality together with their variances for various n-patterns. I hope that this book may be a useful guide for the applied workers to solve their practical problems and a reference book for the researchers to do research in variance components estimation.
Estimation of variance components in mixed linear models is an important problem in statistical inference to draw a valid and meaningful interpretation in many practical areas of research. ANOVA, Analogous to ANOVA, SS Approach, ML, REML, MML, MINQUE, MIVQUE and QLSE are some of the important methods available in literature for estimation of variance components in general mixed linear models. In this book we have introduced MTE, WQLSE and modified MIVQUE estimators and also derived their variances and also the covariance matrices. In fact we have presented the explicit computable expressions for the computation of MTE, WQLSE, Modified MIVQUE estimators and their covariance matrices. The relative performance of MTE, QLSE, WQLSE, MIVQUE and Modified MIVQUE estimators are assessed by numerical evaluations based on different optimality criteria like T-Optimality, D-Optimality and M-Optimality together with their variances for various n-patterns. I hope that this book may be a useful guide for the applied workers to solve their practical problems and a reference book for the researchers to do research in variance components estimation.
Über den Autor
Dr.J.Subramani has his Ph.D. in Statistics from University of Madras in 1991. He is the Winner of ISPS Award and the ISI 5th Competion for Young Statisticians in 1991. His research interests are in Experimental Designs, Sampling Theory, Statistical Quality Control and Recreational Mathemtics. He has more than two decades of professional experience.
Details
Erscheinungsjahr: 2011
Fachbereich: Wahrscheinlichkeitstheorie
Genre: Mathematik, Medizin, Naturwissenschaften, Technik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Inhalt: 136 S.
ISBN-13: 9783845429687
ISBN-10: 3845429682
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Subramani, Jambulingam
Hersteller: LAP LAMBERT Academic Publishing
Verantwortliche Person für die EU: LAP Lambert Academic Publishing, Brivibas Gatve 197, ?-1039 Riga, customerservice@vdm-vsg.de
Maße: 220 x 150 x 9 mm
Von/Mit: Jambulingam Subramani
Erscheinungsdatum: 06.08.2011
Gewicht: 0,221 kg
Artikel-ID: 106864452
Über den Autor
Dr.J.Subramani has his Ph.D. in Statistics from University of Madras in 1991. He is the Winner of ISPS Award and the ISI 5th Competion for Young Statisticians in 1991. His research interests are in Experimental Designs, Sampling Theory, Statistical Quality Control and Recreational Mathemtics. He has more than two decades of professional experience.
Details
Erscheinungsjahr: 2011
Fachbereich: Wahrscheinlichkeitstheorie
Genre: Mathematik, Medizin, Naturwissenschaften, Technik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Inhalt: 136 S.
ISBN-13: 9783845429687
ISBN-10: 3845429682
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Subramani, Jambulingam
Hersteller: LAP LAMBERT Academic Publishing
Verantwortliche Person für die EU: LAP Lambert Academic Publishing, Brivibas Gatve 197, ?-1039 Riga, customerservice@vdm-vsg.de
Maße: 220 x 150 x 9 mm
Von/Mit: Jambulingam Subramani
Erscheinungsdatum: 06.08.2011
Gewicht: 0,221 kg
Artikel-ID: 106864452
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