University of Cambridge > Talks.cam > Statistics > Applications of Bernstein polynomials in Statistics

  Browse A-Z

Log in

Cambridge users (raven)details Other usersdetails No account?details

Information on

Subscribing to talksdetails Finding a talkdetails Adding a talkdetails Disseminating talksdetails Help and Documentationdetails

Applications of Bernstein polynomials in Statistics

Add to your list(s) Download to your calendar using vCal

If you have a question about this talk, please contact Richard Nickl.

Bernstein polynomials are studied in analysis as a probabilistic approximation scheme, and they are well known to provide a constructive proof of Weirstrass theorem. In fact, their simple probabilistic nature make them also attractive in many statistical problems. In this talk I will give an overview of applications of Bernstein polynomials in statistics, in particular in Bayesian nonparametric inference. I will briefly review their use to construct a nonparametric prior, which provides a smoothing of a Dirichlet process, and allows to fairly easily incorporate prior information. I will discuss theoretical properties and show some applications, in particular to shrinkage estimation, comparing with the clustering properties of the Dirichlet process. Bernstein polynomials also arise in quantile estimation from a Dirichlet process. I will finally discuss extensions to data on a general subset of R and to multivariate data.

This talk is part of the Statistics series.

Tell a friend about this talk:

This talk is included in these lists:

Note that ex-directory lists are not shown.

Other lists

Office of Scholary Communication tate modern Medsin Cambridge

Other talks

“Modulating Tregs in Cancer and Autoimmunity” Bullion or specie? The role of Spanish American silver coins in Europe and Asia throughout the 18th century Political Thought, Time and History: An International Conference Making Refuge: Flight Challenges to monetary policy in a global context South American Opuntioids Single Cell Seminars (September) Sneks long balus Formation and disease relevance of axonal endoplasmic reticulum, a "neuron within a neuron”. Stereodivergent Catalysis, Strategies and Tactics Towards Secondary Metabolites as enabling tools for the Study of Natural Products Biology BP KEYNOTE LECTURE: Importance of C-O Bond Activation for CO2/COUtilization - An Approach to Energy Conversion and Storage TODAY Adrian Seminar: "Starting new actions and learning from it"
 

© 2006-2024 Talks.cam, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity