Statistics in engineering : with examples in MATLAB and R /: with examples in MATLAB and R. ([2019])

• Record Type: Book
• Further Information: Note: Andrew V. Metcalfe, David A. Green, Tony Greenfield, Mahayaudin M. Mansor, Andrew Smith and Jonathan Tuke.
• Authors: Metcalfe, Andrew V; Green, David (David A.); Greenfield, Tony; Mansor, Mahayaudin (Mahayaudin M.); Smith, Andrew (Andrew G.); Tuke, Jonathan
• Contents: I Foundations Why Understand Statistics? Introduction Using the book Software Probability and Making Decisions Introduction Random digits Concepts and uses Generating random digits Pseudo random digits Defining probabilities Defining probabilities {Equally likely outcomes Defining probabilities {relative frequencies Defining probabilities {subjective probability and expected monetary value Axioms of Probability The addition rule of probability Complement Conditional probability Conditioning on information Conditional probability and the multiplicative rule Independence Tree diagrams Bayes' theorem Law of total probability Bayes' theorem for two events Bayes' theorem for any number of events Decision trees Permutations and combinations Simple random sample Summary Notation Summary of main results MATLAB and R commands Exercises Graphical Displays of Data and Descriptive Statistics Types of variables Samples and populations Displaying data Stem-and-leaf plot Time series plot Pictogram Pie chart Bar chart Rose plot Line chart for discrete variables Histogram and cumulative frequency polygon for continuous variables Pareto chart Numerical summaries of data Population and sample Measures of location Measures of spread Box-plots Outlying values and robust statistics Outlying values Robust statistics Grouped data Calculation of the mean and standard deviation for discrete data Grouped continuous data [mean and sd for grouped continuous data] Mean as center of gravity Case study of wave stress on offshore structure Shape of distributions Skewness Kurtosis Some contrasting histograms Multivariate data Scatter plot Histogram for bivariate data Parallel coordinates plot Descriptive time series Definition of time series Missing values in time series Decomposition of time series Centered moving average Additive monthly model Multiplicative monthly model Seasonal adjustment Forecasting Index numbers Summary Notation Summary of main results MATLAB and R commands Exercises Discrete Probability Distributions Discrete random variables Definition of a discrete probability distribution Expected value Bernoulli trial Binomial distribution Introduction Defining the Binomial distribution A model for conductivity Random deviates from binomial distribution Fitting a binomial distribution Hypergeometric distribution Defining the hypergeometric distribution Random deviates from the hypergeometric distribution Fitting the hypergeometric distribution Negative binomial distribution The geometric distribution Defining the negative binomial distribution Applications of negative binomial distribution Fitting a negative binomial distribution Random numbers from a negative binomial distribution Poisson process Defining a Poisson process in time Superimposing Poisson processes Spatial Poisson Process Modifications to Poisson processes Poisson distribution Fitting a Poisson distribution Times between events Summary Notation Summary of main results MATLAB and R commands Exercises Continuous Probability Distributions Continuous probability distributions Definition of a continuous random variable Definition of a continuous probability distribution Moments of a continuous probability distribution Median and mode of a continuous probability distribution Parameters of probability distributions Uniform distribution Definition of a uniform distribution Applications of the uniform distribution Random deviates from a uniform distribution Distribution of F(X) is uniform Fitting a uniform distribution Exponential distribution Definition of an exponential distribution Markov property Poisson process Lifetime distribution Applications of the exponential distribution Random deviates from an exponential distribution Fitting an exponential distribution Normal (Gaussian) distribution Definition of a normal distribution The standard normal distribution Applications of the normal distribution Random numbers from a normal distribution Fitting a normal distribution Probability plots Quantile-quantile plots Probability plot Lognormal distribution Definition of a lognormal distribution Applications of the lognormal distribution Random numbers from lognormal distribution Fitting a lognormal distribution Gamma distribution Definition of a gamma distribution Applications of the gamma distribution Random deviates from gamma distribution Fitting a gamma distribution Gumbel distribution Definition of a Gumbel distribution Applications of the Gumbel distribution Random deviates from a Gumbel distribution Fitting a Gumbel distribution Summary Notation Summary of main results MATLAB and R commands Exercises Correlation and Functions of Random Variables Introduction Sample covariance and correlation coefficient Defining sample covariance Bivariate distributions, population covariance and correlation coefficient Population covariance and correlation coefficient Bivariate distributions - discrete case Bivariate distributions - continuous case Marginal distributions Bivariate histogram Covariate and correlation Bivariate probability distributions Copulas Linear combination of random variables (propagation of error) Mean and variance of a linear combination of random variables Bounds for correlation coefficient Linear combination of normal random variables Central Limit Theorem and distribution of the sample mean Non-linear functions of random variables (propagation of error) Summary Notation Summary of main results MATLAB and R commands Exercises Estimation and Inference Introduction Statistics as estimators Population parameters Sample statistics and sampling distributions Bias and MSE Accuracy and precision Precision of estimate of population mean Confidence interval for popula
• Edition: Second Edition
• Publisher Details: Boca Raton, FL : CRC Press
• Publication Date: 2019
• Extent: 1 online resource
• Subjects: 519.5; Engineering -- Statistical methods; Engineering mathematics; MATHEMATICS / Applied; MATHEMATICS / Probability & Statistics / General; Engineering mathematics; Engineering -- Statistical methods; Electronic books
• Languages: English
• ISBNs: 9781315117232; 1315117231; 9781439895481; 1439895481; 9781351643504; 1351643509; 9781351634014; 1351634011
• Related ISBNs: 9781439895474
• Notes: Note: Includes bibliographical references and index.; Note: Online resource; title from PDF title page (EBSCO, January 31, 2019).; Note: Vendor-supplied metadata.
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