A concise introduction to statistical inference. ([2016])

• Record Type: Book
• Further Information: Note: Jacco Thijssen.
• Other Names: Thijssen, Jacco J. J
• Contents: Cover; Half Title; Title Page; Copyright Page; Dedication; Table of Contents; List of Figures; Preface; Acknowledgments; 1: Statistical Inference; 1.1 What statistical inference is all about; 1.2 Why statistical inference is difficult; 1.3 What kind of parameters are we interested in? ; 1.3.1 Center of a distribution; 1.3.2 Spread of a distribution; 1.3.3 Association between variables; 1.4 Statistics and probability; 1.5 Chapter summary; 2: Theory and Calculus of Probability; 2.1 Probability models; 2.2 Random variables and their distributions; 2.3 Moments of random variables 2.3.1 Expectation2.3.2 Higher order moments; 2.3.3 Variance; 2.4 Multivariate distributions; 2.4.1 Association between two random variables; 2.5 Normal distribution; 2.5.1 Bivariate normal distribution; 2.6 Limit theorems for the sample mean; 2.7 Chapter summary; 2.8 Exercises and problems; 3: From Probability to Statistics; 3.1 A first stab at statistical inference; 3.2 Sampling distributions; 3.3 Chapter summary; 3.4 Exercises and problems; 4: Statistical Inference for the Mean based on a Large Sample; 4.1 Simple statistical model for the mean; 4.2 Confidence intervals; 4.3 Hypothesis tests 4.3.1 The p-value4.3.2 Errors and power; 4.4 Chapter summary; 4.5 Exercises and problems; 5: Statistical Models and Sampling Distributions; 5.1 Statistical models; 5.2 Some examples of statistical models; 5.3 Statistics; 5.4 Sampling distributions; 5.5 Chapter summary; 5.6 Exercises and problem; 6: Estimation of Parameters; 6.1 Introduction; 6.2 Maximum likelihood estimators; 6.3 Comparing estimators; 6.3.1 Unbiased estimators; 6.3.2 Mean squared error; 6.4 Method of moments; 6.5 A useful asymptotic result; 6.6 Chapter summary; 6.7 Exercises and problems; 7: Confidence Intervals 7.1 Introduction7.2 Basic idea; 7.3 Confidence intervals for means; 7.3.1 Mean of a normal population with variance known; 7.3.2 Mean of a normal population with variance unknown; 7.3.3 Mean of an unknown distribution based on a large sam-ple; 7.4 Confidence interval for any parameter based on a large sample; 7.5 Differences between populations based on large samples; 7.5.1 Difference between population means; 7.5.2 Difference between proportions; 7.6 Confidence intervals for the variance of a normal sample; 7.7 Chapter summary; 7.8 Exercises and problems; 8: Hypothesis Testing 8.1 Introduction8.2 Hypotheses, decisions, and errors; 8.3 What test statistic should we use?; 8.4 Examples of commonly used tests; 8.4.1 Test of a normal mean with known variance; 8.4.2 Test of a normal mean with unknown variance; 8.4.3 Test of a mean based on a large sample; 8.4.4 Test of a proportion based on a large sample; 8.4.5 Test of the difference between two means based on a large sample; 8.4.6 Test of the difference between two proportions in a large sample; 8.5 p-value; 8.6 Statistical significance; 8.7 Chapter summary; 8.8 Exercises, problems, and discussion; 9: Linear Regression
• Publisher Details: Boca Raton, Florida : CRC Press
• Publication Date: 2016
• Extent: 1 online resource
• Subjects: 519.5/4; Mathematical statistics -- Textbooks; Probabilities -- Textbooks; Mathematical statistics; Probabilities; MATHEMATICS / Applied; MATHEMATICS / Probability & Statistics / General; Textbooks; Electronic books
• Languages: English
• ISBNs: 9781498755788
• Related ISBNs: 149875578X; 9781498755771; 1498755771; 9781498755801; 9781498755795
• Notes: Note: Includes bibliographical references and index.; Note: Print version record.
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.