Methodology in Robust and Nonparametric Statistics

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A01=Jan Picek
A01=Jana Jureckova
A01=Pranab Sen
advanced robust statistical procedures
Affine Equivariant
affine equivariant estimation
Affine Equivariant Estimator
asymptotic
Asymptotic Distribution
Asymptotic Distributional Risk
Asymptotic Linearity
Asymptotic Normality
asymptotic statistical theory
Asymptotic Theory
Author_Jan Picek
Author_Jana Jureckova
Author_Pranab Sen
biomedical data analysis
Breakdown Point
Category=PBT
confidence set construction
distribution
Distribution Function
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Estimator Tn
financial data modeling
Finite Sample Breakdown Point
function
Hadamard Derivative
Hadamard Differentiable
Kruskal Wallis Rank Tests
Linear Rank Statistics
multivariate hypothesis testing
normality
Preliminary Test Estimator
quantiles
random
Rank Dispersion
regression
Regression Model
Regression Quantiles
representation
Robust Estimators
Robust Statistical Inference
Sample Quantile
score
Score Function
Stein Rule Estimator
variable
Weak Convergence

Product details

  • ISBN 9780367381066
  • Weight: 453g
  • Dimensions: 156 x 234mm
  • Publication Date: 05 Sep 2019
  • Publisher: Taylor & Francis Ltd
  • Publication City/Country: GB
  • Product Form: Paperback
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Robust and nonparametric statistical methods have their foundation in fields ranging from agricultural science to astronomy, from biomedical sciences to the public health disciplines, and, more recently, in genomics, bioinformatics, and financial statistics. These disciplines are presently nourished by data mining and high-level computer-based algorithms, but to work actively with robust and nonparametric procedures, practitioners need to understand their background.

Explaining the underpinnings of robust methods and recent theoretical developments, Methodology in Robust and Nonparametric Statistics provides a profound mathematically rigorous explanation of the methodology of robust and nonparametric statistical procedures.

Thoroughly up-to-date, this book



  • Presents multivariate robust and nonparametric estimation with special emphasis on affine-equivariant procedures, followed by hypotheses testing and confidence sets


  • Keeps mathematical abstractions at bay while remaining largely theoretical


  • Provides a pool of basic mathematical tools used throughout the book in derivations of main results


The methodology presented, with due emphasis on asymptotics and interrelations, will pave the way for further developments on robust statistical procedures in more complex models. Using examples to illustrate the methods, the text highlights applications in the fields of biomedical science, bioinformatics, finance, and engineering. In addition, the authors provide exercises in the text.

Jure?ková, Jana; Sen, Pranab; Picek, Jan

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