Anthony Almudevar

Theory of Statistical Inference (eBook, PDF)

• Format: PDF

Produktbeschreibung

The purpose of applying mathematical theory to the theory of statistical inference is to make it simpler and more elegant. Theory of Statistical Inference is concerned with the development of a type of optimization theory which can be used to inform the choice of statistical methodology.

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Produktdetails

• Verlag: Taylor & Francis eBooks
• Seitenzahl: 470
• Erscheinungstermin: 30. Dezember 2021
• Englisch
• ISBN-13: 9781000488012
• Artikelnr.: 63129373

Autorenporträt

Anthony Almudevar is an Associate Professor of Biostatistics and Computational Biology at the University of Rochester. His research interests include statistical methodology, graphical models, bioinformatics, optimization and control theory. Other published volumes include Almudevar A (2014) Approximate Iterative Algorithms, CRC Press, and Statistical Modeling for Biological Systems: In Memory of Andrei Yakovlev, Anthony Almudevar, David Oakes and Jack Hall, editors (2020), Springer.

Inhaltsangabe

1 Distribution Theory 2 Multivariate Distributions 3 Statistical Models 4 Methods of Estimation 5 Hypothesis Testing 6 Linear Models 7 Decision Theory 8 Uniformly Minimum Variance Unbiased (UMVU) Estimation 9 Group Structure and Invariant Inference 10 The Neyman-Pearson Lemma 11 Limit Theorems 12 Large Sample Estimation - Basic Principles 13 Asymptotic Theory for Estimating Equations 14 Large Sample Hypothesis Testing A Parametric Classes of Densities B Topics in Linear Algebra C Topics in Real Analysis and Measure Theory D Group Theory

Rezensionen

"The large variety of topics covered in the current version allows students at all level, be it bachelor, master or Ph.D. to find topics suitable for their own study. On one hand, the book contains fairly advanced topics to help researchers in their own research areas, and on the other hand, it provides enough materials for lecturers to prepare lecture notes and design an entire course on theoretical statistics. Overall, I am extremely excited about Theory of Statistical Inference and eagerly waiting for numerous students, researchers, lecturers and even working professionals to enjoy the immense benefit coming out of its publication."

Somabha Mukherjee, National University of Singapore, Singapore, Journal of the American Statistical Association, February 2024.