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Probability Concepts in Engineering Planning and Design Basic Principles

ISBN-10: 047103200X
ISBN-13: 9780471032007
Edition: 1975
List price: $122.95
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Book details

List price: $122.95
Copyright year: 1975
Publisher: John Wiley & Sons, Incorporated
Publication date: 8/4/1975
Binding: Paperback
Pages: 424
Size: 6.50" wide x 9.50" long x 1.00" tall
Weight: 1.628
Language: English

Role of Probability in Engineering
Introduction
Uncertainty in Real-World Information
Uncertainty Associated with Randomness
Uncertainty Associated with Imperfect Modeling and Estimation
Design and Decision-Making Under Uncertainty
Planning and Design of Airport Pavement
Hydrologic Design
Design of Structures and Machines
Geotechnical Design
Construction Planning and Management
Photogrammetric, Geodetic, and Surveying Measurements
Control and Standards
Concluding Remarks
Basic Probability Concepts
Events and Probability
Characteristics of Probability Problems
Calculation of Probability
Elements of Set Theory
Definitions
Combination of Events
Operational Rules
Mathematics of Probability
Basic Axioms of Probability Addition Rule
Conditional Probability Multiplication Rule
Theorem of Total Probability
Bayes' Theorem
Concluding Remarks Problems
Analytical Models of Random Phenomena
Random Variables
Probability Distribution of a Random Variable
Main Descriptors of a Random Variable
Useful Probability Distributions
The Normal Distribution
The Logarithmic Normal Distribution
Bernoulli Sequence and the Binomial Distribution
The Geometric Distribution
The Negative Binomial Distribution
The Poisson Process and Poisson Distribution
The Exponential Distribution
The Gamma Distribution
The Hypergeometric Distribution
The Beta Distribution
Other Distributions
Multiple Random Variables
Joint and Conditional Probability Distributions
Covariance and Correlation
Conditional Mean and Variance
Concluding Remarks Problems
Functions of Random Variables
Introduction
Derived Probability Distributions
Function of Single Random Variable
Function of Multiple Random Variables
Moments of Functions of Random Variables
Introduction
Mean and Variance of a Linear Function
Product of Independent Variates
Mean and Variance of a General Function
Concluding Remarks Problems
Estimating Parameters from Observational Data
The Role of Statistical Inference in Engineering
Inherent Variability and Estimation Error
Classical Approach to Estimation of Parameters
Random Sampling and Point Estimation
Interval Estimation of the Mean
Problems of Measurement Theory
Interval Estimation of the Variance
Estimation of Proportion
Concluding Remarks Problems
Empirical Determination of Distribution Models
Introduction
Probability Paper
The Normal Probability Paper
The Log-Normal Probability Paper
Construction of General Probability Paper
Testing Validity of Assumed Distribution
Chi-Square Test for Distribution
Kolmogorov-Smirnov Test for Distribution
Concluding Remarks Problems
Regression and Correlation Analyses
Basic Formulation of Linear Regression
Regression with Constant Variance
Regression with Nonconstant Variance
Multiple Linear Regression
Nonlinear Regression
Applications of Regression Analysis in Engineering
Correlation Analysis
Estimation of Correlation Coefficient
Concluding Remarks Problems
The Bayesian Approach
Introduction
Basic Concepts-The Discrete Case
The Continuous Case
General Formulation
A Special Application of Bayesian Up-dating Process
Bayesian Concepts in Sampling Theory
General Formulation
Sampling from Normal Population
Error in Estimation
Use of Conjugate Distributions
Concluding Remarks Problems
Elements of Quality Assurance and Acceptance Sampling
Acceptance Sampling by Attributes
The Operating Characteristic (OC) Curve
The Success Run
The Average Outgoing Quality Curve
Acceptance Sampling by Variables
Average Quality Criterion, sigma Known
Average Quality Criterion, sigma Unknown
Fraction Defective Criterion
Multiple-Stage Sampling
Concluding Remarks Problems
Probability Tables
Table of Standard Normal Probability
p-Percentile Values of the t-Distribution
p-Percentile Values of the x 2 -Distribution
Critical Values of D alpha; in the Kolmogorov-Smirnov Test
Combinatorial Formulas
Derivation of the Poisson Distribution
References
Index

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