Pubblicazioni

Autori:

Casarin, Roberto; Craiu, Radu V.; Frattarolo, Lorenzo; Robert, Christian P.

Titolo:

Living on the Edge: An Unified Approach to Antithetic Sampling

Anno:

2024

Tipologia prodotto:

Articolo in Rivista

Tipologia ANVUR:

Articolo su rivista

Lingua:

Inglese

Formato:

A Stampa

Referee:

Sì

Nome rivista:

STATISTICAL SCIENCE

ISSN Rivista:

0883-4237

N° Volume:

39

Numero o Fascicolo:

1

Intervallo pagine:

115-136

Parole chiave:

Antithetic variables , countermonotonicity , Monte Carlo , Negative dependence , variance reduction

Breve descrizione dei contenuti:

We identify recurrent ingredients in the antithetic sampling literature leading to a unified sampling framework. We introduce a new class of antithetic schemes that includes the most used antithetic proposals. This perspective enables the derivation of new properties of the sampling schemes: (i) optimality in the Kullback–Leibler sense; (ii) closed-form multivariate Kendall’s τ and Spearman’s ρ; (iii) ranking in concordance order and (iv) a central limit theorem that characterizes stochastic behaviour of Monte Carlo estimators when the sample size tends to infinity. The proposed simulation framework inherits the simplicity of the standard antithetic sampling method, requiring the definition of a set of reference points in the sampling space and the generation of uniform numbers on the segments joining the points. We provide applications to Monte Carlo integration and Markov Chain Monte Carlo Bayesian estimation.

Pagina Web:

https://projecteuclid.org/journals/statistical-science/volume-39/issue-1/Living-on-the-Edge--An-Unified-Approach-to-Antithetic/10.1214/23-STS888.short

Id prodotto:

137900

Handle IRIS:

11562/1119726

ultima modifica:

20 novembre 2024

Citazione bibliografica:

Casarin, Roberto; Craiu, Radu V.; Frattarolo, Lorenzo; Robert, Christian P., Living on the Edge: An Unified Approach to Antithetic Sampling «STATISTICAL SCIENCE» , vol. 39 , n. 1 , 2024 , pp. 115-136

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