Author | Creighton, J. H. C. author |
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Title | A First Course in Probability Models and Statistical Inference [electronic resource] / by J. H. C. Creighton |
Imprint | New York, NY : Springer New York : Imprint: Springer, 1994 |
Connect to | http://dx.doi.org/10.1007/978-1-4419-8540-8 |
Descript | XXXI, 719 p. online resource |
1 โ Introduction to Probability Models of the Real World -- 1.1 Probability Distributions of Random Variables -- 1.2 Parameters to Characterize a Probability Distribution -- 1.3 Linear Functions of a Random Variable -- 1.4 The Fundamentals of Probability Theory -- 1.5 Some Review Exercises -- 2 โUnderstanding Observed Data -- 2.1 Observed Data from the Real World -- 2.2 Presenting and Summarizing Observed Numeric Data -- 2.3 Grouped Data: Suppressing Irrelevant Detail -- 2.4 Using the Computer -- 3 โ Discrete Probability Models -- 3.1 Introduction -- 3.2 The Discrete Uniform Distribution -- 3.3 The Hypergeometric Distribution -- 3.4 Sampling with Replacement from a Dichotomous Population -- 3.5 The Bernoulli Trial -- 3.6 The Geometric Distribution -- 3.7 The Binomial Distribution -- 3.8 The Poisson Distribution -- 3.9 The Negative Binomial Distribution -- 3.10 Some Review Problems -- 4 โ Continuous Probability Models -- 4.1 Continuous Distributions and the Continuous Uniform Distribution -- 4.2 The Exponential Distribution -- 4.3 The Normal Distribution -- 4.4 The Chi-Squared Distribution -- 4.5 A Few Review Problems -- 5 โ Estimation of Parameters -- 5.1 Parameters and Their Estimators -- 5.2 Estimating an Unknown Proportion -- 5.3 Estimating an Unknown Mean -- 5.4 A Confidence Interval Estimate for an Unknown ? -- 5.5 One-Sided Intervals, Prediction Intervals, Tolerance Intervals -- 6 โ Introduction to Tests of Statistical Hypotheses -- 6.1 Introduction -- 6.2 Tests of Significance -- 6.3 Hypothesis Tests -- 6.4 A Somewhat Comprehensive Review -- 7 โ Introduction to Simple Linear Regression -- 7.1 The Simple Linear Regression Model -- 7.2 The Least Squares Estimates for ? and ? -- 7.3 Using the Simple Linear Regression Model -- 7.4 Some Review Problems -- Answers to Try Your HandโLevel 1 -- Answers to Try Your HandโLevel II -- Tables -- The Standard Normal Distribution -- The Chi-Squared Distribution -- Index of Notation -- Author Index