An Introduction to Mathematical Statistics - Softcover

Vaart, Aad; Jonker, Marianne; Bijma, Fetsje

Softcover

ISBN 10: 9462985103 ISBN 13: 9789462985100

Verlag: Amsterdam University Press, 2017

Inhaltsangabe

The field of statistics focuses on drawing conclusions from data by modeling and analyzing the data using probabilistic models. The authors of this introductory text describe three key concepts from statistics—estimators, tests, and confidence regions—which they demonstrate and apply in an extensive variety of examples and case studies. An entire chapter covers regression models, including linear regression and analysis of variance. This book, designed for students, assumes a basic knowledge of probability theory, calculus, and linear algebra.
 

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Über die Autorinnen und Autoren

Fetsje Bijma worked as an assistant professor of mathematics at the Vrije Universiteit Amsterdam for ten years. Marianne Jonker is a biostatistician at the Radboud University Medical Center in Nijmegen. Aad van der Vaart is professor of stochastics at Leiden University.
 

Fetsje Bijma worked as an assistant professor of mathematics at the Vrije Universiteit Amsterdam for 10 years. She studied mathematics at the University of Groningen and received a Ph.D. at the Faculty of Medicine of the Vrije Universiteit Amsterdam. She now works in industry.Marianne Jonker is a biostatistician at the Radboud University Medical Center in Nijmegen. She studied mathematics and received her Ph.D. at the Vrije Universiteit Amsterdam, where she worked as an assistant professor in mathematics for some time. She has done work as a biostatistician for the Leiden University Medical Center in Leiden and the VU University Medical Center in Amsterdam. Aad van der Vaart is a professor of stochastics at Leiden University and member of the Royal Netherlands Academy of Arts and Sciences. He studied mathematics and psychology at Leiden University and received a Ph.D. in mathematics at the same university. He held positions at universities in the United States and in Paris (France) and at the Vrije Universiteit Amsterdam. In 2015 he won the highest scientific award in the Netherlands, the NWO Spinoza Prize, for his groundbreaking research in statistics.

Fetsje Bijma worked as an assistant professor of mathematics at the Vrije Universiteit Amsterdam for 10 years. She studied mathematics at the University of Groningen and received a Ph.D. at the Faculty of Medicine of the Vrije Universiteit Amsterdam. She now works in industry.
Marianne Jonker is a biostatistician at the Radboud University Medical Center in Nijmegen. She studied mathematics and received her Ph.D. at the Vrije Universiteit Amsterdam, where she worked as an assistant professor in mathematics for some time. She has done work as a biostatistician for the Leiden University Medical Center in Leiden and the VU University Medical Center in Amsterdam.
Aad van der Vaart is a professor of stochastics at Leiden University and member of the Royal Netherlands Academy of Arts and Sciences. He studied mathematics and psychology at Leiden University and received a Ph.D. in mathematics at the same university. He held positions at universities in the United States and in Paris (France) and at the Vrije Universiteit Amsterdam. In 2015 he won the highest scientific award in the Netherlands, the NWO Spinoza Prize, for his groundbreaking research in statistics.

Von der hinteren Coverseite

Statistics is the science that focuses on drawing conclusions from data, by modeling and analyzing the data using probabilistic models. In 'An Introduction to Mathematical Statistics' the authors describe key concepts from statistics and give a mathematical basis for important statistical methods. Much attention is paid to the sound application of those methods to data.

The three main topics in statistics are estimators, tests, and confidence regions. The authors illustrate these in many examples, with a separate chapter on regression models, including linear regression and analysis of variance. They also discuss the optimality of estimators and tests, as well as the selection of the best-fitting model.Each chapter ends with a case study in which the described statistical methods are applied.

This book assumes a basic knowledge of probability theory, calculus, and linear algebra.

Aus dem Klappentext

Statistics is the science that focuses on drawing conclusions from data, by modeling and analyzing the data using probabilistic models. In An Introduction to Mathematical Statistics the authors describe key concepts from statistics and give a mathematical basis for important statistical methods. Much attention is paid to the sound application of those methods to data. The three main topics in statistics are estimators, tests, and confidence regions. The authors illustrate these in many examples, with a separate chapter on regression models, including linear regression and analysis of variance. They also discuss the optimality of estimators and tests, as well as the selection of the best-fitting model. Each chapter ends with a case study in which the described statistical methods are applied. This book assumes a basic knowledge of probability theory, calculus, and linear algebra. Several annexes are available for Mathematical Statistics on this page.

Details zur Ausgabe

• Verlag: Amsterdam University Press
• Erscheinungsdatum: 2017
• Sprache: Englisch
• ISBN 10: 9462985103
• ISBN 13: 9789462985100
• Einband: Taschenbuch
• Auflage: 2
• Anzahl der Seiten: 384
• Kontakt zum Hersteller: Nicht verfügbar
• Verantwortliche Person: Nicht verfügbar