Luc Pronzato

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20132026

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math.ST2026

Non-asymptotic quantisation of spherically symmetric distributions

Luc Pronzato, Anatoly Zhigljavsky

Zador's celebrated theorem is a cornerstone of optimal quantisation, establishing both the weak limit of the empirical distribution of an $n$ -point optimal quantiser in $R^{d}$ and t…

math.ST2013

A delimitation of the support of optimal designs for Kiefer's $ϕ_{p}$ -class of criteria

Luc Pronzato

The paper extends the result of Harman and Pronzato [Stat. & Prob. Lett., 77:90--94, 2007], which corresponds to $p = 0$ , to all strictly concave criteria in Kiefer's $ϕ_{p}$ -class. Le…

Non-asymptotic quantisation of spherically symmetric distributions

A delimitation of the support of optimal designs for Kiefer's ϕp​-class of criteria

A delimitation of the support of optimal designs for Kiefer's $ϕ_{p}$ -class of criteria