Title:
Probability and statistics
Personal Author:
Publication Information:
Reading, Mass. : Addison-Wesley, 1997
ISBN:
9780201592788
Available:*
Library | Item Barcode | Call Number | Material Type | Item Category 1 | Status |
|---|---|---|---|---|---|
Searching... | 30000003772146 | QA273 H38 1997 | Open Access Book | Book | Searching... |
Searching... | 30000003558321 | QA273 H38 1997 | Open Access Book | Book | Searching... |
Searching... | 30000003772187 | QA273 H38 1997 | Open Access Book | Book | Searching... |
Searching... | 30000003558339 | QA273 H38 1997 | Open Access Book | Book | Searching... |
Searching... | 30000003558354 | QA273 H38 1997 | Open Access Book | Book | Searching... |
Searching... | 30000003558347 | QA273 H38 1997 | Open Access Book | Book | Searching... |
On Order
Summary
Summary
Probability and Statistics is a rigorous yet student-oriented introduction to the ideas and results of probability and mathematical statistics. Taking an interactive approach, this text involves the reader through the use of self-check questions, laboratory investigations, and research projects. This text incorporates more matrix algebra and vector calculus than its competitors, and provides fuller coverage of graphical methods in data analysis. Hastings invites students to be active learners, using the tools of their mathematical backgrounds to both analyze and present graphically the principles of probability and statistics.
Table of Contents
| 1 Sample Spaces And Random Variables |
| Introduction and Examples |
| Axioms of Probability and Their Consequences |
| Random Variables and Distributions |
| Conditional Probability |
| Independent Events |
| 2 Discrete Probability |
| Combinatorial Probability |
| Discrete Distributions |
| Binomial Experiments |
| Poisson Random Phenomena |
| Expected Value and Variance |
| 3 Continuous Probability |
| Densites and Distribution Functions |
| Expectation of Continuous Random Variables |
| Examples of Continuous Distribution |
| Multivariate Normal Distribution |
| 4 Conditional Distributions and Independence |
| Independence of Random Variables |
| Conditional Distribution of Random Variables |
| Covariance and Correlation |
| More on the Multivariate Normal Distribution |
| 5 Transformations of Random Variables |
| Distribution Function Technique |
| Multivariate Transformations |
| Generating Functions |
| Transformations of Normal Random Variables |
| T and F Distributions |
| 6 Asymptotic Theory |
| Laws of Large Numbers |
| Central Limit Theorem |
| 7 Introduction to Data Analysis |
| Random Samples and Summary Statistics |
| Graphical Data Analysis |
| Principles of Graph Construction |
| 8 Point and Interval Estimation |
| Unbiased Estimation |
| Maximum Likelihood Estimation |
| Sufficient Statistics |
| Confidence Intervals for One-Sample Problems |
| Confidence Intervals for Two-Sample Problems |
| 9 Hypothesis Testing |
| Basic Ideas of Hypothesis Testing |
| One Sample Location Tests |
| Tests for Dispersion |
| Two Sample Location Tests |
| Likelihood Ratio Tests |
| 10 Regression and Correlation |
| Least Squares Estimation |
| Multiple Regression |
| Statistical Inference for Regression |
| Diagnostic Checking |
| Correlation |
| 11 Experimental Design and Analysis Of Variance |
| Experimental Design and the Linear Model |
| One-Factor Analysis of Variance |
| Two-Factor Analysis of Variance |
| 12 Goodness of Fit |
| Chi Square Tests |
| Goodness Fit to Distributions |
| Tests for Independence and Randomness |
| 13 Statistical Tables: Minitab Primer |
| Basic MINITAB |
| File Handling |
| Getting Help |
| Ending a Session |
| Worksheet Information |
| Data Entry and Editing |
| Reformatting the Worksheet in Windows |
| Computed Data |
| Patterned Data |
| Data Samples from Distributions |
| Naming Columns |
| Producing Plots |
| Elementary Statistics and Hypothesis Tests |
| Regression |
| Analysis of Variance |
| Other Commands |
| 14 Computer Projects Using Mathematica: Research Projects |
| Markov Chains |
| Reliability |
| Portfolio Optimization |
| Queuing |
| Time Series |
| Quality Control |
| Bayesian Statistics |
| More on Experimental Design |
| Chapter R: Linear Algebra Review |
| Answers to Selected Exercises |
