000			04920nam a2200157 4500
008			180116b xxu||||| |||| 00| 0 eng d
020			_a9781498755771
082			_a519.54 _bTHI
100			_aThijssen, Jacco _924604
245			_aA Concise Introduction to Statistical Inference
260			_bCRC Press _c2017 _aBoca Raton
300			_a210p
500			_a1.Statistical Inference 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.Expectation 2.3.2.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 Contents note continued: 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-value 4.3.2.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 problems 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.Introduction 7.2.Basic idea 7.3.Confidence intervals for means 7.3.1.Mean of a normal population with variance known Contents note continued: 7.3.2.Mean of a normal population with variance unknown 7.3.3.Mean of an unknown distribution based on a large sample 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.Introduction 8.2.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 Contents note continued: 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 9.1.Basic ideas 9.2.Estimation: Least squares method 9.3.Decomposition of errors 9.4.Inferences based on the OLS estimator 9.5.Linear regression, causation, and correlation 9.6.Chapter summary 9.7.Exercises, problems, and discussion 10.Bayesian Inference 10.1.Introduction 10.2.Basic concepts 10.3.A simple statistical model from a Bayesian perspective 10.4.Highest density regions 10.5.Hypothesis testing 10.6.Evidence and the likelihood principle 10.7.Decision theory 10.8.An economic decision problem with statistical information 10.9.Linear regression 10.10.Chapter summary 10.11.Exercises and problems Appendices A.Commonly used discrete distributions Contents note continued: B.Commonly used continuous distributions C.Special distributions C.1.Χ2 distribution C.2.Student's t-distribution C.3.F-distribution D.The Greek alphabet E.Mathematical notation F.Summation and product notation G.Exponentials and (natural) logarithms H.Subjective probability.
600			_aMathematical Statistics _924605
942			_2ddc _cLB _k519.54 _mTHI
999			_c108958 _d108958