A Course in Mathematical Statistics,
Edition 2Editors: By George G. Roussas
Publication Date:
28 Feb 1997
Ways Of Reading
-
This e-publication is accessible to the full extent that the file format and types of content allow, on a specific reading device, by default, without necessarily including any additions such as textual descriptions of images or enhanced navigation.
Navigation
-
The contents of the PDF have been tagged to permit access by assistive technologies as per PDF-UA-1 standard.
-
Page breaks included from the original print source
Additional Accessibility Information
-
All (or substantially all) textual matter is arranged in a single logical reading order (including text that is visually presented as separate from the main text flow, e.g., in boxouts, captions, tables, footnotes, endnotes, citations, etc.). Non-textual content is also linked from within this logical reading order. (Purely decorative non-text content can be ignored).
-
The language of the text has been specified (e.g., via the HTML or XML lang attribute) to optimise text-to-speech (and other alternative renderings), both at the whole document level and, where appropriate, for individual words, phrases or passages in a different language.
Conformance
-
The publication was certified on 20250728
-
Accessibility addendum
-
For detailed accessibility information, see Elsevier’s website at https://www.elsevier.com/about/accessibility
-
For queries regarding accessibility information, contact [email protected]
Note
-
This product relies on 3rd party tooling which may impact the accessibility features visible in inspection copies. All accessibility features mentioned would be present in the purchased version of the title.
Description
A Course in Mathematical Statistics, Second Edition, contains enough material for a year-long course in probability and statistics for advanced undergraduate or first-year graduate students, or it can be used independently for a one-semester (or even one-quarter) course in probability alone. It bridges the gap between high and intermediate level texts so students without a sophisticated mathematical background can assimilate a fairly broad spectrum of the theorems and results from mathematical statistics. The coverage is extensive, and consists of probability and distribution theory, and statistical inference.Key Features
@bul:* Contains 25% new material
* Includes the most complete coverage of sufficiency
@bul:* Transformation of Random Vectors
* Sufficiency / Completeness / Exponential Families
* Order Statistics
* Elements of Nonparametric Density Estimation
* Analysis of Variance (ANOVA)
* Regression Analysis
* Linear Models
About the author
By George G. Roussas, University of California, Davis, USA
Concepts of Set Theory
Some Probabilistic Concepts and Results
On Random variables and Their Distributions
Distribution Functions, Probability Densities, and their Relationships
Moments of Random Variables-Some Moment and Probability Inequalities
Characteristic Functions, Moment Generating
Functions, and Related Theorems
Stochastic Independence with Some Applications
Basic Limit Theorems
Transformations of Random Variables and Random
Vectors
Order Statistics and Related Theorems
Sufficiency and Related Theorems
Point Estimation
Testing Hypotheses
Sequential Procedures
Confidence Regions-Tolerance Intervals
The General Linear Hypothesis
Analysis of Variance
The Multivariate Normal Distribution
Quadratic Forms
Nonparametric Inference
Appendices
Table of Selected Discrete and Continuous
Distributions and Some of their Characteristics
Some Notation and Abbreviations
Some Probabilistic Concepts and Results
On Random variables and Their Distributions
Distribution Functions, Probability Densities, and their Relationships
Moments of Random Variables-Some Moment and Probability Inequalities
Characteristic Functions, Moment Generating
Functions, and Related Theorems
Stochastic Independence with Some Applications
Basic Limit Theorems
Transformations of Random Variables and Random
Vectors
Order Statistics and Related Theorems
Sufficiency and Related Theorems
Point Estimation
Testing Hypotheses
Sequential Procedures
Confidence Regions-Tolerance Intervals
The General Linear Hypothesis
Analysis of Variance
The Multivariate Normal Distribution
Quadratic Forms
Nonparametric Inference
Appendices
Table of Selected Discrete and Continuous
Distributions and Some of their Characteristics
Some Notation and Abbreviations
ISBN:
9780125993159
Page Count:
572
Retail Price (USD)
:
Freund/Wilson: STATISTICAL METHODS, REVISED EDITION (August, 1996; ISBN: 0-12-267472-3)
Freund/Wilson: STATISTICAL METHODS (1992; ISBN: 0-12-267470-7)
Allen: PROBABILITY, STATISTICS, AND QUEING THEORY, SECOND EDITION (1990; ISBN: 0-12-051051-0)
Ferguson: MATHEMATICAL STATISTICS (1967; ISBN: 0-12-253750-5)
Freund/Wilson: STATISTICAL METHODS (1992; ISBN: 0-12-267470-7)
Allen: PROBABILITY, STATISTICS, AND QUEING THEORY, SECOND EDITION (1990; ISBN: 0-12-051051-0)
Ferguson: MATHEMATICAL STATISTICS (1967; ISBN: 0-12-253750-5)
Advanced undergraduate and graduate level courses in mathematical statistics offered in departments of statistics at all major universities. Students in statistics, mathematics, computer science, engineering, life sciences, andsocial sciences may take such a course.