Open Daily: 10am - 10pm | Alley door pickup 10am - 7pm 3038 Hennepin Ave Minneapolis, MN
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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Discrete Associated-Kernels for Smoothings: Theory, Methods, and Applications

Discrete Associated-Kernels for Smoothings: Theory, Methods, and Applications

Somé, Sobom M.
Kokonendji, Célestin C.

Hardcover

Probability & Statistics

PREORDER - Expected ship date December 18, 2026

ISBN10: 1041386060
ISBN13: 9781041386063
Publisher: CRC Press
Published: Dec 18 2026
Pages: 248
Language: English

Discrete Associated-Kernels for Smoothings: Theory, Methods, and Applications provides a comprehensive exploration of discrete smoothing using associated-kernels. It offers an overview of the theory and relevant analyses in several real-world scenarios.

It begins with a brief history of discrete kernel smoothing and an introduction to popular continuous, asymmetric, and associated kernels. Methods to smooth various discrete, continuous, and mixed functions are covered, including regression, weighting, and discrimination. The univariate, multivariate, and recursive versions are discussed within three families of associated-kernels: categorical, count, and other discretes. The book presents several properties through nonparametric and semiparametric approaches, such as using finite differences for bias in discrete functions, selecting bandwidths by considering the local Bayesian method instead of the adaptive method used for continuous cases, and using normalized estimators for probability density or mass functions. Finally, the book addresses mixed functions on the same univariate support (i.e., time scale) and mixture functions in a multivariate setup (e.g., discrimination analysis). Numerical illustrations and practical applications facilitate understanding of these approaches. Each of the seven chapters concludes with exercises and open problems.

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