Solutions Manual to accompany A Brief Course in Mathematical Statistics (Even-numbered) 0131751395

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Product details:

ISBN-10: 0131751395

ISBN -13: 9780131751392

Author: Robert V. Hogg, Elliot A. Tanis

This innovative new introduction to Mathematical Statistics covers the important concept of estimation at a point much earlier (Chapter 2) than others on this subject. Applies mathematical statistics to topics such as insurance, Pap smear tests, estimating the number of whales in an ocean, fitting models, filling 12 ounce containers, environmental issues, and results in certain sporting events. Includes summaries of the most important aspects of discrete distributions, continuous distributions, confidence intervals, and tests of hypotheses. Provides computer applications for data analysis and also for theoretical solutions such as simulation and bootstrapping. A comprehensive reference for individuals who need to brush up on their knowledge of statistics.

Table of contents:

1 Probability 1 
1.1 Basic Concepts 1 
1.2 Methods of Enumeration 11 
1.3 Conditional Probability 18 
1.4 Independent Events 27 
1.5 Bayes's Theorem 33 
Chapter One Comments 39 
2 Discrete Distributions 40 
2.1 Discrete Probability Distributions 40 
2.2 Expectations 49 
2.3 Special Discrete Distributions 59 
2.4 Estimation 68 
Application 75 
2.5 Linear Functions of Independent Random Variables 79 
2.6 Multivariate Discrete Distributions 84 
Chapter Two Comments 96 
3 Continuous Distributions 97 
3.1 Descriptive Statistics and EDA 97 
Application 106 
3.2 Continuous Probability Distributions 112 
3.3 Special Continuous Distributions 118 
3.4 The Normal Distribution 126 
3.5 Estimation in the Continuous Case 134 
3.6 The Central Limit Theorem 142 
3.7 Approximations for Discrete Distributions 148 
Chapter Three Comments 154 
4 Applications of Statistical Inference 156 
4.1 Summary of Necessary Theoretical Results 156 
4.2 Confidence Intervals Using chi ^2, F, and T 160 
4.3 Confidence Intervals and Tests of Hypotheses 172 
4.4 Basic Tests Concerning One Parameter 179 
4.5 Tests of the Equality of Two Parameters 189 
4.6 Simple Linear Regression 197 
4.7 More on Linear Regression 210 
4.8 One-Factor Analysis of Variance 218 
4.9 Distribution-Free Confidence and Tolerance Intervals 227 
Application 235 
4.10 Chi-Square Goodness of Fit Tests 238 
4.11 Contingency Tables 247 
Chapter Four Comments 259 
5 Computer-Oriented Techniques 260 
5.1 Computation of Statistics 260 
5.2 Computer Algebra Systems 265 
5.3 Simulation 277 
5.4 Resampling 285 
Chapter Five Comments 294 
6 Some Sampling Distribution Theory 295 
6.1 Moment-Generating Function Technique 295 
6.2 M.G.F. of Linear Functions 301 
6.3 Limiting Moment-Generating Functions 306 
6.4 Use of Order Statistics in Non-Regular Cases 313 
Chapter Six Comments 317 
A References 318 
B Tables 320 
C Answers to Odd-Numbered Exercises 340 
Index 355

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