عنوان

Data analysis and approximate models :

شابک

1482215861 (hardback)

شابک

9781482215861 (hardback)

شماره

dltt

عنوان اصلي

Data analysis and approximate models :

نام عام مواد

[Book]

ساير اطلاعات عنواني

model choice, location-scale, analysis of variance, nonparametic regression and image analysis /

نام نخستين پديدآور

Laurie Davies

نام خاص و کميت اثر

xvi, 304 pages :

ساير جزييات

illustrations ;

ابعاد

25 cm

عنوان فروست

Monographs on statistics and applied probability ;

مشخصه جلد

133

متن يادداشت

Includes bibliographical references and index

متن يادداشت

Data Analysis and Approximate Models: Model Choice, Location-Scale, Analysis of Variance, Nonparametric Regression and Image Analysis presents statistical analysis/inference based on approximate models. Developed by the author, this approach consistently treats models as approximations to data, not to some underlying truth. The author develops a concept of approximation for probability models with applications to: Discrete data, Location scale, Analysis of variance (ANOVA), Nonparametric regression, image analysis, and densities, Time series, Model choice, The book first highlights problems with concepts such as likelihood and efficiency and covers the definition of approximation and its consequences. A chapter on discrete data then presents the total variation metric as well as the Kullback-Leibler and chi-squared discrepancies as measures of fit. After focusing on outliers, the book discusses the location-scale problem, including approximation intervals, and gives a new treatment of higher-way ANOVA. The next several chapters describe novel procedures of nonparametric regression based on approximation. The final chapter offers a critique of statistics that covers likelihood, Bayesian statistics, sufficient statistics, efficiency, asymptotics, and model choice. Features, Provides one of the first accounts of statistical analysis and inference based on approximate models, Treats probability models as approximations in a consistent manner, Illustrates the importance of regularization, Evaluates the current definitions of one-, two-, three-, and higher-way ANOVA, Focuses on location, scale, and densities in nonparametric regression, Explains how to choose smoothing parameters in image analysis, Includes a new method for the analysis of contingency tables Book jacket

موضوع مستند نشده

Approximation theory

موضوع مستند نشده

Probabilities-- Philosophy

شماره

ويراست

شماره رده

نشانه اثر

مستند نام اشخاص تاييد نشده

Davies, Patrick Laurie

تاريخ عمليات

20140807112836.0

قواعد فهرست نويسي ( بخش توصيفي )

rda

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y