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The Energy of Data and Distance Correlation
SPAR
kr 178

Energy distance is a statistical distance between the distributions of random vectors, which characterizes equality of distributions. The name energy derives from Newton''s gravitational potential energy, and there is an elegant relation to the notion of potential energy between statistical observations. Energy statistics are functions of distances between statistical observations in metric spaces. The authors hope this book will spark the interest of most statisticians who so far have not explored E-statistics and would like to apply these new methods using R. The Energy of Data and Distance Correlation is intended for teachers and students looking for dedicated material on energy statistics, but can serve as a supplement to a wide range of courses and areas, such as Monte Carlo methods, U-statistics or V-statistics, measures of multivariate dependence, goodness-of-fit tests, nonparametric methods and distance based methods.

•E-statistics provides powerful methods to deal with problems in multivariate inference and analysis.

•Methods are implemented in R, and readers can immediately apply them using the freely available energy package for R.

•The proposed book will provide an overview of the existing state-of-the-art in development of energy statistics and an overview of applications.

•Background and literature review is valuable for anyone considering further research or application in energy statistics.

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Energy distance is a statistical distance between the distributions of random vectors, which characterizes equality of distributions. The name energy derives from Newton''s gravitational potential energy, and there is an elegant relation to the notion of potential energy between statistical observations. Energy statistics are functions of distances between statistical observations in metric spaces. The authors hope this book will spark the interest of most statisticians who so far have not explored E-statistics and would like to apply these new methods using R. The Energy of Data and Distance Correlation is intended for teachers and students looking for dedicated material on energy statistics, but can serve as a supplement to a wide range of courses and areas, such as Monte Carlo methods, U-statistics or V-statistics, measures of multivariate dependence, goodness-of-fit tests, nonparametric methods and distance based methods.

•E-statistics provides powerful methods to deal with problems in multivariate inference and analysis.

•Methods are implemented in R, and readers can immediately apply them using the freely available energy package for R.

•The proposed book will provide an overview of the existing state-of-the-art in development of energy statistics and an overview of applications.

•Background and literature review is valuable for anyone considering further research or application in energy statistics.

Produktdetaljer
Sprog: Engelsk
Sider: 448
ISBN-13: 9781482242744
Indbinding: Hardback
Udgave:
ISBN-10: 1482242745
Udg. Dato: 14 feb 2023
Længde: 31mm
Bredde: 241mm
Højde: 163mm
Oplagsdato: 14 feb 2023
Forfatter(e) Gabor J. (National Science Foundation Szekely, Maria L. (Bowling Green State University Rizzo, Gabor J. Szekely, Maria L. Rizzo


Kategori Sandsynlighedsregning og statistik


Sprog Engelsk


Indbinding Hardback


Sider 448


Udgave


Længde 31mm


Bredde 241mm


Højde 163mm


Oplagsdato 14 feb 2023

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