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Produktbild: A First Course in Probability Models and Statistical Inference

A First Course in Probability Models and Statistical Inference

Aus der Reihe Springer Texts in Statistics

Fr. 72.90

inkl. gesetzl. MwSt., Versandkostenfrei

Beschreibung

Produktdetails

Einband

Taschenbuch

Erscheinungsdatum

05.10.2012

Verlag

Springer Us

Seitenzahl

719

Maße (L/B/H)

24/21/4.1 cm

Gewicht

1553 g

Auflage

Softcover reprint of the original 1st ed. 1994

Sprache

Englisch

ISBN

978-1-4612-6431-6

Beschreibung

Produktdetails

Einband

Taschenbuch

Erscheinungsdatum

05.10.2012

Verlag

Springer Us

Seitenzahl

719

Maße (L/B/H)

24/21/4.1 cm

Gewicht

1553 g

Auflage

Softcover reprint of the original 1st ed. 1994

Sprache

Englisch

ISBN

978-1-4612-6431-6

Herstelleradresse

Springer-Verlag KG
Sachsenplatz 4-6
1201 Wien
AT

Email: GPSR Kontakt

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  • Produktbild: A First Course in Probability Models and Statistical Inference
  • 1 — Introduction to Probability Models of the Real World.- 1.1 Probability Distributions of Random Variables.- Probability Models.- Random Variables and Their Random Experiments.- 1.2 Parameters to Characterize a Probability Distribution.- The Expected Value or Mean of a Random Variable.- The Variance, Measuring the Accuracy of the Mean.- 1.3 Linear Functions of a Random Variable.- 1.4 The Fundamentals of Probability Theory.- Three Basic Rules of Probability.- Bayes’ Theorem.- Random Experiments with Equally Likely Outcomes.- Chebyshev’s Theorem.- 1.5 Some Review Exercises.- 2 —Understanding Observed Data.- 2.1 Observed Data from the Real World.- Presenting Data Graphically.- Collecting Data.- Simple Random Samples Drawn from a Probability Distribution.- Populations.- Statistical Questions.- Simple Random Samples Drawn from a Population.- 2.2 Presenting and Summarizing Observed Numeric Data.- Measures of Centrality for Observed Numeric Data.- Measures of Spread for Observed Numeric Data.- 2.3 Grouped Data: Suppressing Irrelevant Detail.- Grouped Distributions of Observed Real World Data.- Histograms: Graphical Display of Grouped Relative Frequency Distributions.- 2.4 Using the Computer.- Describing, Picturing, and Comparing Population and Sample Data.- 3 — Discrete Probability Models.- 3.1 Introduction.- 3.2 The Discrete Uniform Distribution.- 3.3 The Hypergeometric Distribution.- Counting Rules.- What Is the Hypergeometric Model.- Calculating the Probabilities.- The Formulas.- 3.4 Sampling with Replacement from a Dichotomous Population.- What Is the Model?.- The Formulas.- 3.5 The Bernoulli Trial.- 3.6 The Geometric Distribution.- What Is the Model?.- The Formulas.- 3.7 The Binomial Distribution.- The Binomial Experiment.- The Binomial Random Variable Itself.- 3.8 The Poisson Distribution.- 3.9 The Negative Binomial Distribution.- 3.10 Some Review Problems.- 4 — Continuous Probability Models.- 4.1 Continuous Distributions and the Continuous Uniform Distribution.- Continuous Distributions.- The Probability Density function.- The Continuous Uniform Distribution.- 4.2 The Exponential Distribution.- Modeling the Reliability of a System.- The Exponential Distribution.- 4.3 The Normal Distribution.- The Normal Distribution as a Model for Measurement Error.- The Normal Distribution as an Abstract Model.- The Standardizing Transformation.- The Normal Probability Plot.- Continuous Approximations to Integer-Valued Random Variables.- The Normal Approximation to the Binomial.- 4.4 The Chi-Squared Distribution.- 4.5 A Few Review Problems.- 5 — Estimation of Parameters.- 5.1 Parameters and Their Estimators.- Estimators—the Entire Context.- 5.2 Estimating an Unknown Proportion.- The Sampling Distribution for % MathType!MTEF!2!1!+-
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    $$, Using s Instead of ? Takes Us to Student’s t-Distribution When the Distribution You’re Sampling from Is Normal.- 5.4 A Confidence Interval Estimate for an Unknown ?.- 5.5 One-Sided Intervals, Prediction Intervals, Tolerance Intervals.- One-Sided Confidence Intervals.- Prediction Intervals for Observations from a Normal Distribution.- Tolerance Intervals.- 6 — Introduction to Tests of Statistical Hypotheses.- 6.1 Introduction.- Statistical Hypotheses.- What Are These Two Testing Procedures?.- Contrasting the Two Testing Procedures.- 6.2 Tests of Significance.- A Dialogue.- The p-Value.- Comparing Means and Comparing Proportions (Large Samples): Two New Parameters and Their Estimators.- Practical Versus Statistical Significance.- The Test of Significance as an Argument by Contradiction.- What If the p-Value is Not Small?.- A Case Where “Not Small p-Value” Is Conclusive and “Small” Not.- Chi-Squared Tests for Goodness of Fit, Homogeneity, and Independence.- 6.3 Hypothesis Tests.- Setting Up the Hypothesis Test.- The Possible Errors.- Real-World Interpretation of the Conclusions and Errors.- Moving in the Direction of Common Practice.- The Rejection Region.- The Decision Rule and Test Statistic p-Values for Hypothesis Tests 273.- Controlling Power and Type II Error.- 6.4 A Somewhat Comprehensive Review.- 7 — Introduction to Simple Linear Regression.- 7.1 The Simple Linear Regression Model.- 7.2 The Least Squares Estimates for ? and ?.- The Principle of Least Squares.- Calculating the Least Squares Estimate of ? and ?.- 7.3 Using the Simple Linear Regression Model.- Testing Hypotheses Concerning ?.- The Coefficient of Determination.- Confidence Intervals to Predict ?Y|X or the Average of a Few Y’s for Xp, a Particular Value of X.- 7.4 Some Review Problems.- The Data.- Answers to Try Your Hand—Level 1.- Answers to Try Your Hand—Level II.- Tables.- The Standard Normal Distribution.- The Chi-Squared Distribution.- Index of Notation.- Author Index.