A Concise Introduction to Statistical Inference (Record no. 108958)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 04920nam a2200157 4500 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 180116b xxu||||| |||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9781498755771 |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 519.54 |
| Item number | THI |
| 100 ## - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Thijssen, Jacco |
| 9 (RLIN) | 24604 |
| 245 ## - TITLE STATEMENT | |
| Title | A Concise Introduction to Statistical Inference |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Name of publisher, distributor, etc | CRC Press |
| Date of publication, distribution, etc | 2017 |
| Place of publication, distribution, etc | Boca Raton |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 210p |
| 500 ## - GENERAL NOTE | |
| General note | 1.Statistical Inference<br/><br/> 2.Theory and Calculus of Probability<br/> 2.1.Probability models<br/> 2.2.Random variables and their distributions<br/> 2.3.Moments of random variables<br/> 2.3.1.Expectation<br/> 2.3.2.Higher order moments<br/> 2.3.3.Variance<br/> 2.4.Multivariate distributions<br/> 2.4.1.Association between two random variables<br/> 2.5.Normal distribution<br/> 2.5.1.Bivariate normal distribution<br/> 2.6.Limit theorems for the sample mean<br/> 2.7.Chapter summary<br/> 2.8.Exercises and problems<br/> <br/>3.From Probability to Statistics<br/> 3.1.A first stab at statistical inference<br/> 3.2.Sampling distributions<br/> 3.3.Chapter summary<br/> Contents note continued: 3.4.Exercises and problems<br/><br/> 4.Statistical Inference for the Mean based on a Large Sample<br/> 4.1.Simple statistical model for the mean<br/> 4.2.Confidence intervals<br/> 4.3.Hypothesis tests<br/> 4.3.1.The p-value<br/> 4.3.2.Errors and power<br/> 4.4.Chapter summary<br/> 4.5.Exercises and problems<br/><br/> 5.Statistical Models and Sampling Distributions<br/> 5.1.Statistical models<br/> 5.2.Some examples of statistical models<br/> 5.3.Statistics<br/> 5.4.Sampling distributions<br/> 5.5.Chapter summary<br/> 5.6.Exercises and problems<br/><br/> 6.Estimation of Parameters<br/> 6.1.Introduction<br/> 6.2.Maximum likelihood estimators<br/> 6.3.Comparing estimators<br/> 6.3.1.Unbiased estimators<br/> 6.3.2.Mean squared error<br/> 6.4.Method of moments<br/> 6.5.A useful asymptotic result<br/> 6.6.Chapter summary<br/> 6.7.Exercises and problems<br/><br/> 7.Confidence Intervals<br/> 7.1.Introduction<br/> 7.2.Basic idea<br/> 7.3.Confidence intervals for means<br/> 7.3.1.Mean of a normal population with variance known<br/> Contents note continued: 7.3.2.Mean of a normal population with variance unknown<br/> 7.3.3.Mean of an unknown distribution based on a large sample<br/> 7.4.Confidence interval for any parameter based on a large sample<br/> 7.5.Differences between populations based on large samples<br/> 7.5.1.Difference between population means<br/> 7.5.2.Difference between proportions<br/> 7.6.Confidence intervals for the variance of a normal sample<br/> 7.7.Chapter summary<br/> 7.8.Exercises and problems<br/><br/> 8.Hypothesis Testing<br/> 8.1.Introduction<br/> 8.2.Hypotheses, decisions, and errors<br/> 8.3.What test statistic should we use?<br/> 8.4.Examples of commonly used tests<br/> 8.4.1.Test of a normal mean with known variance<br/> 8.4.2.Test of a normal mean with unknown variance<br/> 8.4.3.Test of a mean based on a large sample<br/> 8.4.4.Test of a proportion based on a large sample<br/> 8.4.5.Test of the difference between two means based on a large sample<br/> Contents note continued: 8.4.6.Test of the difference between two proportions in a large sample<br/> 8.5.p-value<br/> 8.6.Statistical significance<br/> 8.7.Chapter summary<br/> 8.8.Exercises, problems, and discussion<br/><br/> 9.Linear Regression<br/> 9.1.Basic ideas<br/> 9.2.Estimation: Least squares method<br/> 9.3.Decomposition of errors<br/> 9.4.Inferences based on the OLS estimator<br/> 9.5.Linear regression, causation, and correlation<br/> 9.6.Chapter summary<br/> 9.7.Exercises, problems, and discussion<br/><br/> 10.Bayesian Inference<br/> 10.1.Introduction<br/> 10.2.Basic concepts<br/> 10.3.A simple statistical model from a Bayesian perspective<br/> 10.4.Highest density regions<br/> 10.5.Hypothesis testing<br/> 10.6.Evidence and the likelihood principle<br/> 10.7.Decision theory<br/> 10.8.An economic decision problem with statistical information<br/> 10.9.Linear regression<br/> 10.10.Chapter summary<br/> 10.11.Exercises and problems<br/> Appendices<br/> A.Commonly used discrete distributions<br/> Contents note continued: B.Commonly used continuous distributions<br/> C.Special distributions<br/> C.1.Χ2 distribution<br/> C.2.Student's t-distribution<br/> C.3.F-distribution<br/> D.The Greek alphabet<br/> E.Mathematical notation<br/> F.Summation and product notation<br/> G.Exponentials and (natural) logarithms<br/> H.Subjective probability. |
| 600 ## - SUBJECT ADDED ENTRY--PERSONAL NAME | |
| Personal name | Mathematical Statistics |
| 9 (RLIN) | 24605 |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Source of classification or shelving scheme | Dewey Decimal Classification |
| Item type | Book |
| Call number prefix | 519.54 |
| Call number suffix | THI |
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