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Publications

par VARRON Davit - publié le , mis à jour le

Please feel free to contact me by e-mail if you need a preprint version of one of my articles.

Phd and Habilitation manuscripts

  1. (PhD, 2006) Lois fonctionnelles limites uniformes pour les accroissements généralisés du processus empirique. Lois fonctionnelle limites de type Chung-Mogulskii pour le processus empirique uniforme local.
  2. (Habilitation, 2014) Contributions à l’étude de la mesure empirique et de la mesure empirique locale. Applications en statistique non paramétrique.

Contributions to scientific books

  1. (with A. Vallet, C. Bertrand and J. Mudry) Hydrogeological threshold using effective rainfall and support vector machine (SVM) applied to a deep seated unstable slope (Séchilienne, French Alps).In book : Engineering Geology for Society and Territory - Volume 2 Publisher : Springer International Publishing, pp.2143-2146

Proceedings

  1. (with A. Vallet, C. Bertrand and J. Mudry) Hydrogeological threshold using effective rainfall and support vector machine (SVM) applied to a deep seated unstable slope (Séchilienne, French Alps). In proceeding of : Journées ‘Aléa Gravitaire’ 2013, At Grenoble

Short notes :

  1. Uniformity in h in the functional limit law for the increments of the empirical process indexed by functions. C. R. Acad. Sci. Paris, Ser. I 340 (2005).
  2. A nonstandard uniform functional law of the logarithm for the increments of the multivariate empirical process . C. R. Acad. Sci. Paris, Ser. I 343 (2006).
  3. A Note on large deviation principles in Schauder decomposable spaces. C. R. Acad. Sci. Paris, Ser. I 343 (2006).

Articles :

  1. Some uniform in bandwidth functional results for the tail uniform empirical and quantile processes. Annales de l’ISUP 50, (2006)
  2. A limited in bandwidth uniformity for the functional limit law of the increments of the empirical process. Electron. J. Statist. Volume 2, p. 1043-1064 (2008).
  3. Some asymptotic results on density estimators by wavelet projections. Statistics and Probability Letters, 78 (2008).
  4. A nonstandard uniform functional limit law of the iterated logarithm for the increments of the multivariate empirical distribution function. Advances and Applications in Statistical Sciences Volume 1, p. 399-428 (2010).
  5. (With M. Maumy-Bertrand) Non standard functional limit laws for the increments of the compound empirical distribution function. Electron. J. Statist. Volume 4, p. 1324-1344 (2010)
  6. (With I. Van Keilegom) Uniform in bandwidth exact rates for a class of kernel estimators. Ann. Inst. Stat. Math. Volume 63, p. 1077-1102 (2011).
  7. Some new almost sure results on the functional increments of the uniform empirical process. Stochastic processes and applications, 121, Volume 2, p. 337-356 (2011).
  8. Clustering rates and Chung type laws of the iterated logarithm for empirical and quantile processes. Annales de l’ISUP Volume 55, No 2-3, p. 3-26 (2011).
  9. A note on weak convergence, large deviations, and the bounded approximation property. Teoriya Veroyatnostei i ee Primeneniya (Theory of Probability and its Applications) Volume 59, No 1, p.130-149 (2014) .
  10. Donsker and Glivenko-Cantelli theorems for a class of processes generalizing the empirical process. Electronic Journal of Statistics Volume 8, p.2301–2325 (2014).
  11. Limit theorem for occupation rates of local empirical processes. To appear in Sankya series A Volume 77, No 2, p. 249-276 (2015).
  12. Functional limit laws for local empirical processes in a spatial setting. Stochastics Volume 88, No 3, p. 373-395 (2016).
  13. (With C. Kokonendji) Performance of the discrete associated kernel estimators for the total variation distance.Statistic and probability letters Volume 110, p. 225-235 (2016).
  14. The almost sure topological limits of local empirical processes under several scales. Stochastic processes and their applications Volume 126, No 4, p. 997-1018 (2016)
  15. (With J-Y. Dauxois and A. Flesch) Empirical likelihood uniform confidence bands in survival analysis under the assumption of competing risks. ESAIM Probability and Statistics Volume 20, p. 66-94 (2016).
  16. Empirical likelihood for functional plug-in parameters. Journal of multivariate analysis Volume 152, p. 100-118 (2016).

Articles as collaborations with other sciences

  1. (With A. Vallet C. Bertrand, O. Fabbri and J. Mudry) A multi-dimensional statistical rainfall threshold for deep landslides based on groundwater recharge and support vector machines. Natural Hazards Volume 84, No 2, p.821-849 (2016)

Submitted articles

  1. On the bracketing entropy condition and generalized empirical measures.