Essentials of Mathematical Statistics

by Albright, Brian

• ISBN13: 9781449685348
• ISBN10: 144968534X
• Format: Hardcover
• Copyright: 2013-03-05
• Publisher: Jones & Bartlett Learning

Summary

Part of the Jones and Bartlett Learning International Series in MathematicsWritten for the one-term introductory probability and statistics course for mid- to upper-level math and science majors, Essentials of Mathematical Statistics combines the topics generally found in main-stream elementary statistics books with the essentials of the underlying theory. The book begins with an axiomatic treatment of probability followed by chapters on discrete and continuous random variables and their associated distributions. It then introduces basic statistical concepts including summarizing data and interval parameter estimation, stressing the connection between probability and statistics. Final chapters introduce hypothesis testing, regression, and non-parametric techniques. All chapters provide a balance between conceptual understanding and theoretical understanding of the topics at hand. Key Features of Essentials of Mathematical Statistics:- End-of-section exercises range from computational to conceptual to theoretical.- Many sections include a sub-section titled "Software Calculations" which gives detailed descriptions of how to perform the calculations discussed in the section using the software Minitab, R, Excel, and the TI-83/84 calculators.- Provides a clear balance between conceptual understanding and theoretical understanding- Exercises throughout vary in level of difficulty and scope.

Table of Contents

Chapter1 Basics of Probability
Chapter2 Discrete Random Variables
Chapter3 Continuous Random Variables
Chapter4 Statistics
Chapter5 Hypothesis Testing
Chapter6 Simple Regression
Chapter Nonparametric Statistics
AppendixA Proofs of Selected Theorems
AppendixB Software Basics
AppendixC Tables
AppendixD Answers to Selected Exercises