Statistics in Theory and Practice (eBook)

Robert Lupton (Autor)

eBook Download: PDF

2020
200 Seiten
Princeton University Press (Verlag)
978-0-691-21319-4 (ISBN)

Infos

Aimed at a diverse scientific audience, including physicists, astronomers, chemists, geologists, and economists, this book explains the theory underlying the classical statistical methods. Its level is between introductory "e;how to"e; texts and intimidating mathematical monographs. A reader without previous exposure to statistics will finish the book with a sound working knowledge of statistical methods, while a reader already familiar with the standard tests will come away with an understanding of their strengths, weaknesses, and domains of applicability. The mathematical level is that of an advanced undergraduate; for example, matrices and Fourier analysis are used where appropriate. Among the topics covered are common probability distributions; sampling and the distribution of sampling statistics; confidence intervals, hypothesis testing, and the theory of tests; estimation (including maximum likelihood); goodness of fit (including c2 and Kolmogorov-Smirnov tests); and non-parametric and rank tests. There are nearly one hundred problems (with answers) designed to bring out points in the text and to cover topics slightly outside the main line of development.

Produkt-Details

• Erscheint lt. Verlag: 26.5.2020
• Zusatzinfo: 10 line illus.
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik ► Statistik
• Schlagworte: Accuracy and precision • Analysis of Variance • arithmetic mean • Asymptotic Distribution • Asymptotic Theory • Bayesian • Bayesian Statistics • Bayes' postulate • Bayes' Theorem • beta distribution • Bias of an estimator • Binomial Distribution • Bootstrapping (statistics) • Calculation • Cauchy distribution • central limit theorem • changing variables • Characteristic function (probability theory) • coefficient • Confidence interval • Confidence region • Convolution Theorem • correlation coefficient • Covariance matrix • critical region, definition • Cumulative distribution function • curve fitting • Degeneracy (mathematics) • Degrees of freedom (statistics) • Distribution Function • efficiency, of an estimator • Efficiency (statistics) • Efficient estimator • Einstein notation • estimation • Estimator • Expectation value (quantum mechanics) • expected value • Fisher's transformation • fourier analysis • Fourier series • F-Test • Function (mathematics) • Gaussian function • Gaussian integral • Gauss–Markov theorem • geometrical mean, definition • Gram–Schmidt process • hypothesis testing • idempotent, definition • Identity matrix • Independence (probability theory) • Interquartile range • jackknife, definition • kurtosis, definition • Likelihood Function • Likelihood-ratio test • linear model • linear models • linear regression • Log-normal Distribution • Mann–Whitney U test • Mathematical Statistics • Mathematics • Matrix (mathematics) • maximum likelihood estimation • mode, definition • Moment (mathematics) • Monte Carlo Method • Multinomial distribution • multivariate Gaussian • Multivariate normal distribution • Neyman-Pearson lemma • Neyman–Pearson lemma • Nonparametric Statistics • Normal distribution • Numerical analysis • One-Tailed Test • order statistic • Parameter • Pearson product-moment correlation coefficient • percentile, standard error • Poisson Point Process • posterior probability • Prior probability • Probability • Probability density function • Probability Distribution • random number generation • Random Variable • Rank of a Matrix • ratio test • Realization (probability) • Resampling (statistics) • Sample mean and covariance • Sampling (Statistics) • Scale Parameter • scientific notation • Score test • signs test • Smirnov, definition • standard deviation • standard deviation, definition • Statistic • Statistical hypothesis testing • statistician • Statistics • Student's T-Distribution • Student's t-test • Summation • Taylor's theorem • test statistic • theory • Type I and type II errors • Uniform distribution (discrete) • Variable (mathematics) • Variance • variance, definition, • Variance-stabilizing transformation • Wilcoxon signed-rank test
• ISBN-10: 0-691-21319-4 / 0691213194
• ISBN-13: 978-0-691-21319-4 / 9780691213194