The Resource A Course in Mathematical Statistics and Large Sample Theory, by Rabi Bhattacharya, Lizhen Lin, Victor Patrangenaru, (electronic resource)

A Course in Mathematical Statistics and Large Sample Theory, by Rabi Bhattacharya, Lizhen Lin, Victor Patrangenaru, (electronic resource)

Label
A Course in Mathematical Statistics and Large Sample Theory
Title
A Course in Mathematical Statistics and Large Sample Theory
Statement of responsibility
by Rabi Bhattacharya, Lizhen Lin, Victor Patrangenaru
Creator
Contributor
Author
Provider
Subject
Language
eng
Summary
This graduate-level textbook is primarily aimed at graduate students of statistics, mathematics, science, and engineering who have had an undergraduate course in statistics, an upper division course in analysis, and some acquaintance with measure theoretic probability. It provides a rigorous presentation of the core of mathematical statistics. Part I of this book constitutes a one-semester course on basic parametric mathematical statistics. Part II deals with the large sample theory of statistics — parametric and nonparametric, and its contents may be covered in one semester as well. Part III provides brief accounts of a number of topics of current interest for practitioners and other disciplines whose work involves statistical methods. Large Sample theory with many worked examples, numerical calculations, and simulations to illustrate theory Appendices provide ready access to a number of standard results, with many proofs Solutions given to a number of selected exercises from Part I Part II exercises with a certain level of difficulty appear with detailed hints Rabi Bhattacharya, PhD,has held regular faculty positions at UC, Berkeley; Indiana University; and the University of Arizona. He is a Fellow of the Institute of Mathematical Statistics and a recipient of the U.S. Senior Scientist Humboldt Award and of a Guggenheim Fellowship. He has served on editorial boards of many international journals and has published several research monographs and graduate texts on probability and statistics, including Nonparametric Inference on Manifolds, co-authored with A. Bhattacharya. Lizhen Lin, PhD, is Assistant Professor in the Department of Statistics and Data Science at the University of Texas at Austin. She received a PhD in Mathematics from the University of Arizona and was a Postdoctoral Associate at Duke University. Bayesian nonparametrics, shape constrained inference, and nonparametric inference on manifolds are among her areas of expertise. Vic Patrangenaru, PhD, is Professor of Statistics at Florida State University. He received PhDs in Mathematics from Haifa, Israel, and from Indiana University in the fields of differential geometry and statistics, respectively. He has many research publications on Riemannian geometry and especially on statistics on manifolds. He is a co-author with L. Ellingson of Nonparametric Statistics on Manifolds and Their Applications to Object Data Analysis.
Member of
http://library.link/vocab/creatorName
Bhattacharya, Rabi
Image bit depth
0
LC call number
QA276-280
Literary form
non fiction
http://library.link/vocab/relatedWorkOrContributorName
  • Lin, Lizhen.
  • Patrangenaru, Victor.
  • SpringerLink
Series statement
Springer Texts in Statistics,
http://library.link/vocab/subjectName
  • Statistics
  • Mathematical statistics
  • Biostatistics
  • Probabilities
  • Statistics
  • Statistical Theory and Methods
  • Probability and Statistics in Computer Science
  • Statistics for Business/Economics/Mathematical Finance/Insurance
  • Probability Theory and Stochastic Processes
  • Statistics and Computing/Statistics Programs
  • Biostatistics
Label
A Course in Mathematical Statistics and Large Sample Theory, by Rabi Bhattacharya, Lizhen Lin, Victor Patrangenaru, (electronic resource)
Instantiates
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
1 Introduction -- 2 Decision Theory -- 3 Introduction to General Methods of Estimation -- 4 Sufficient Statistics, Exponential Families, and Estimation -- 5 Testing Hypotheses -- 6 Consistency and Asymptotic Distributions and Statistics -- 7 Large Sample Theory of Estimation in Parametric Models -- 8 Tests in Parametric and Nonparametric Models -- 9 The Nonparametric Bootstrap -- 10 Nonparametric Curve Estimation -- 11 Edgeworth Expansions and the Bootstrap -- 12 Frechet Means and Nonparametric Inference on Non-Euclidean Geometric Spaces -- 13 Multiple Testing and the False Discovery Rate -- 14 Markov Chain Monte Carlo (MCMC) Simulation and Bayes Theory -- 15 Miscellaneous Topics -- Appendices -- Solutions of Selected Exercises in Part 1
Dimensions
unknown
Extent
XI, 389 p. 9 illus., 2 illus. in color.
File format
multiple file formats
Form of item
electronic
Isbn
9781493940325
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-1-4939-4032-5
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-1-4939-4032-5
Label
A Course in Mathematical Statistics and Large Sample Theory, by Rabi Bhattacharya, Lizhen Lin, Victor Patrangenaru, (electronic resource)
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
1 Introduction -- 2 Decision Theory -- 3 Introduction to General Methods of Estimation -- 4 Sufficient Statistics, Exponential Families, and Estimation -- 5 Testing Hypotheses -- 6 Consistency and Asymptotic Distributions and Statistics -- 7 Large Sample Theory of Estimation in Parametric Models -- 8 Tests in Parametric and Nonparametric Models -- 9 The Nonparametric Bootstrap -- 10 Nonparametric Curve Estimation -- 11 Edgeworth Expansions and the Bootstrap -- 12 Frechet Means and Nonparametric Inference on Non-Euclidean Geometric Spaces -- 13 Multiple Testing and the False Discovery Rate -- 14 Markov Chain Monte Carlo (MCMC) Simulation and Bayes Theory -- 15 Miscellaneous Topics -- Appendices -- Solutions of Selected Exercises in Part 1
Dimensions
unknown
Extent
XI, 389 p. 9 illus., 2 illus. in color.
File format
multiple file formats
Form of item
electronic
Isbn
9781493940325
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-1-4939-4032-5
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-1-4939-4032-5

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