Introduction to Probability and Statistics: Principles and Applications for Engi

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Designed for the first course in probability and statistics taken by students majoring in engineering and the computing sciences, this text offers a presentation of applications and theory. It aims to develop the theoretical foundations for the statistical methods. It explores the practical implications of the formal results to problem-solving.

FORMATPaperback LANGUAGEEnglish CONDITIONBrand New Publisher Description

This well-respected text is designed for the first course in probability and statistics taken by students majoring in engineering and the computing sciences. The prerequisite is one year of calculus. The text offers a balanced presentation of applications and theory, and the authors take care to develop the theoretical foundations for the statistical methods presented at a level that is accessible to students with only a calculus background. They explore the practical implications of the formal results to problem-solving, so students gain an understanding of the logic behind the techniques as well as practice in using them. The examples, exercises and applications were chosen specifically for students in engineering and computer science and include opportunities for real data analysis. - References to statistical analysis packages have been added. This enables students to see how the techniques are applied by using these popular packages. - Some of the more difficult derivations have been moved to an appendix. - Discussion of Tukey's method of paired comparisons and a section on the use of tolerance limits in quality control.

Author Biography

J.Susan Milton is professor Emeritus of Satatics at Radford University. Dr. Milton recieved the B.S. degree from Western Carolina University, the M.A. degree from the University of North Carolina at Chapel Hill, and the Ph.D degree in Statistics from Virginia Polytechnic Institute and State university. She is a Danforth Associate and is a recipient of the Radford University Foundation Award for Excellence in Teaching. Dr. Milton is the author of Statistical Methods in the Biological and Health Sciences as well as Introduction to statistics, Probability with the Essential Analysis, and a first Course in the Theory of Linear Statistical Models.Jesse C. arnold is a Professor of Statistics at Virginia Polytechnic Insitute and state University. Dr. arnold received the B.S. Degree from Southeastern state University, and the M.A and Ph. D degrees in statistics from Florida state university. He served as head of Statistics department for ten years, is a fellow of the American Statistical Association, and elected member of the International Statistics Institute. Ha has served as President of the International Biometric Society (Eastern North American Region) and Chairman of the statistical Educational Section of the American Statistical Association.

Table of Contents

Chapter 1 - Introduction to Probability and Counting1.1 Interpreting Probabilities1.2 Sample Spaces and Events1.3 Permutations and CombinationsChapter SummaryExercisesReview ExercisesChapter 2 - Some Probability Laws2.1 Axioms of Probability2.2 Conditional Probability2.3 Independence and the Multiplication Rule2.4 Bayes' TheoremChapter SummaryExercisesReview ExercisesChapter 3 - Discrete Distributions3.1 Random Variables3.2 Discrete Probablility Densities3.3 Expectation and Distribution Parameters3.4 Geometric Distribution and the Moment Generating Function3.5 Binomial Distribution3.6 Negative Binomial Distribution3.7 Hypergeometric Distribution3.8 Poisson DistributionChapter SummaryExercisesReview ExercisesChapter 4 - Continuous Distributions4.1 Continuous Densities4.2 Expectation and Distribution Parameters4.3 Gamma, Exponential, and Chi-Squared Distributions4.4 Normal Distribution4.5 Normal Probability Rule and Chebyshev's Inequality4.6 Normal Approximation to the Binomial Distribution4.7 Weibull Distribution and Reliability4.8 Transformation of Variables4.9 Simulating a Continuous DistributionChapter SummaryExercisesReview ExercisesChapter 5 - Joint Distributions5.1 Joint Densities and Independence5.2 Expectation and Covariance5.3 Correlation5.4 Conditional Densities and Regression5.5 Transformation of VariablesChapter SummaryExercisesReview ExercisesChapter 6 - Descriptive Statistics6.1 Random Sampling6.2 Picturing the Distribution6.3 Sample Statistics6.4 BoxplotsChapter SummaryExercisesReview ExercisesChapter 7 - Estimation7.1 Point Estimation7.2 The Method of Moments and Maximum Likelihood7.3 Functions of Random Variables--Distribution of X7.4 Interval Estimation and the Central Limit TheoremChapter SummaryExercisesReview ExercisesChapter 8 - Inferences on the Mean and Variance of a Distribution8.1 Interval Estimation of Variability8.2 Estimating the Mean and the Student-t Distribution8.3 Hypothesis Testing8.4 Significance Testing8.5 Hypothesis and Significance Tests on the Mean8.6 Hypothesis Test on the Variance8.7 Alternative Nonparametric MethodsChapter SummaryExercisesReview ExercisesChapter 9 - Inferences on Proportions9.1 Estimating Proportions9.2 Testing Hypothesis on a Proportion9.3 Comparing Two Proportions Estimation9.4 Coparing Two Proportions: Hypothesis TestingChapter SummaryExercisesReview ExercisesChapter 10 - Comparing Two Means and Two Variances10.1 Point Estimation: Independent Samples10.2 Comparing Variances: The F Distribution10.3 Comparing Means: Variances Equal (Pooled Test)10.4 Comparing Means: Variances Unequal10.5 Compairing Means: Paried Data10.6 Alternative Nonparametric Methods10.7 A Note on TechnologyChapter SummaryExercisesReview ExercisesChapter 11 - Sample Linear Regression and Correlation11.1 Model and Parameter Estimation11.2 Properties of Least-Squares Estimators11.3 Confidence Interval Estimation and Hypothesis Testing11.4 Repeated Measurements and Lack of Fit11.5 Residual Analysis11.6 CorrelationChapter SummaryExercisesReview ExercisesChapter 12 - Multiple Linear Regression Models12.1 Least-Squares Procedures for Model Fitting12.2 A Matrix Approach to Least Squares12.3 Properties of the Least-Squares Estimators12.4 Interval Estimation12.5 Testing Hypothesis about Model Parameters12.6 Use of Indicator or "Dummy" Variables (Optional)12.7 Criteria for Variable Selection12.8 Model Transformation and Concluding RemarksChapter SummaryExercisesReview ExercisesChapter 13 - Analysis of Variance13.1 One-Way Classification Fixed-Effects Model13.2 Comparing Variances13.3 Pairwise Comparison13.4 Testing Contrasts13.5 Randomized Complete Block Design13.6 Latin Squares13.7 Random-Effects Models13.8 Design Models in Matrix Form13.9 Alternative Nonparametirc MethodsChapter SummaryExercisesReview ExercisesChapter 14 - Factorial Experiments14.1 Two-Factor Analysis of Variance14.2 Extension to Three Factors14.3 Random and Mixed Model Factorial Experiments14.4 2k Factorial Experiments 14.5 2k Factorial Experiments in an Incomplete Block Design 14.6 Fractional Factorial ExperimentsChapter SummaryExercisesReview ExercisesChapter 15 - Categorical Data15.1 Multinomial Distribution15.2 Chi-Squared Goodness of Fit Tests15.3 Testing for Independence15.4 Comparing ProportionsChapter SummaryExercisesReview ExercisesChapter 16 - Statistical Quality Control16.1 Properties of Control Charts16.2 Shewart Control Charts for Measurements16.3 Shewart Control Charts for Attributes16.4 Tolerance Limits16.5 Acceptance Sampling16.6 Two-Stage Acceptance Sampling16.7 Extensions in Quality ControlChapter SummaryExercisesReview ExerciesAppendix A - Statistical TablesAppendix B - Answers to Selected ProblemsAppendix C - Selected Derivations

Details ISBN0071198598 Pages 832 Publisher McGraw-Hill Education - Europe Year 2002 Edition 4th ISBN-10 0071198598 ISBN-13 9780071198592 Format Paperback Subtitle Principles and Applications for Engineering and the Computing Sciences Place of Publication London Country of Publication United States DEWEY 519.202462 Birth 1937 Media Book Language English Author Jesse Arnold Series College Ie Overruns Short Title Introduction to Probability and Statistics DOI 10.1604/9780071198592 UK Release Date 2002-11-16 Publication Date 2002-11-16 AU Release Date 2002-11-16 NZ Release Date 2002-11-16 US Release Date 2002-11-16 Illustrations Illustrations (some col.) Imprint McGraw Hill Higher Education Edition Description 4th edition Audience Tertiary & Higher Education We've got this

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