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Modern statistical methods and theory : an introduction to nonparametric and high-dimensional statistics / Richard J. Samworth, Rajen D. Shah
- Format:
- Book
- Author/Creator:
- Samworth, Richard J., author.
- Shah, Rajen D., author.
- Series:
- Cambridge series on statistical and probabilistic mathematics ; 60.
- Cambridge series in statistical and probabilistic mathematics ; 60
- Language:
- English
- Subjects (All):
- Mathematical statistics.
- Machine learning.
- Nonparametric statistics.
- Machine Learning.
- Statistics, Nonparametric.
- Medical Subjects:
- Machine Learning.
- Statistics, Nonparametric.
- Physical Description:
- 1 online resource
- Place of Publication:
- Cambridge : Cambridge University Press, 2026
- Summary:
- "Based on courses taught at the University of Cambridge, this text presents core contemporary statistical methods and theory in an accessible, self-contained and rigorous fashion, with a focus on finite-sample guarantees as opposed to asymptotic arguments. Many of the topics and results have not appeared in book form previously, and some constitute new research. The prerequisites are relatively light (primarily a good grasp of linear algebra and real analysis) and complete solutions to all 250+ exercises are available online. It is the perfect entry point to the subject for master's and graduate-level students in statistics, data science and machine learning, as well as related disciplines such as artificial intelligence, signal processing, information theory, electrical engineering and econometrics. Researchers in these fields will also find it an invaluable resource"-- Cambridge Core
- Contents:
- Linear models and ordinary least squares
- High-dimensional linear regression
- Kernel density estimation
- Nonparametric regression
- Reproducing kernel Hilbert spaces and kernel machines
- Conditional independence, graphical models and causality
- Minimax lower bounds
- Shape-constrained estimation
- Notes:
- Includes bibliographical references and index
- Online resource; title from PDF title page (Cambridge Core, viewed July 21, 2026)
- Other Format:
- Print version: Samworth, Richard J. Modern statistical methods and theory
- ISBN:
- 9781009160421
- 1009160427
- OCLC:
- 1596676704
- Publisher Number:
- CIPO000392171
- Access Restriction:
- Some versions: Open access versions available from some providers open access
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