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Bivariate density estimation using BV regularisation

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  • Obereder, Andreas
  • Scherzer, Otmar
  • Kovac, Arne

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  • Obereder, Andreas & Scherzer, Otmar & Kovac, Arne, 2007. "Bivariate density estimation using BV regularisation," Computational Statistics & Data Analysis, Elsevier, vol. 51(12), pages 5622-5634, August.
    • Handle: RePEc:eee:csdana:v:51:y:2007:i:12:p:5622-5634
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    1. Sylvia. Richardson & Peter J. Green, 1997. "On Bayesian Analysis of Mixtures with an Unknown Number of Components (with discussion)," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 59(4), pages 731-792.
    2. Herrmann, Eva & Ziegler, Klaus, 2004. "Rates of consistency for nonparametric estimation of the mode in absence of smoothness assumptions," Statistics & Probability Letters, Elsevier, vol. 68(4), pages 359-368, July.
    3. Th. Gasser & P. Hall & B. Presnell, 1998. "Nonparametric estimation of the mode of a distribution of random curves," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 60(4), pages 681-691.
    4. PARK, Byeong U. & TURLACH, Berwin A., 1992. "Practical performance of several data driven bandwidth selectors," LIDAM Reprints CORE 1001, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    5. PARK, Byeong & TURLACH, Berwin, 1992. "Practical performance of several data driven bandwidth selectors," LIDAM Discussion Papers CORE 1992005, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    6. Jang, Woncheol, 2006. "Nonparametric density estimation and clustering in astronomical sky surveys," Computational Statistics & Data Analysis, Elsevier, vol. 50(3), pages 760-774, February.
    7. Davies, Paul Lyndon & Gather, Ursula & Weinert, Henrike, 2006. "Nonparametric regression as an example of model choice," Technical Reports 2006,24, Technische Universität Dortmund, Sonderforschungsbereich 475: Komplexitätsreduktion in multivariaten Datenstrukturen.
    8. Vieu, Philippe, 1996. "A note on density mode estimation," Statistics & Probability Letters, Elsevier, vol. 26(4), pages 297-307, March.
    9. Polonik, W., 1995. "Density Estimation under Qualitative Assumptions in Higher Dimensions," Journal of Multivariate Analysis, Elsevier, vol. 55(1), pages 61-81, October.
    10. Fischer, N. I. & Mammen, E. & Marron, J. S., 1994. "Testing for multimodality," Computational Statistics & Data Analysis, Elsevier, vol. 18(5), pages 499-512, December.
    11. A. Azzalini & A.W. Bowman, 1990. "A Look at Some Data on the Old Faithful Geyser," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 39(3), pages 357-365, November.
    12. J. Polzehl & V. G. Spokoiny, 2000. "Adaptive weights smoothing with applications to image restoration," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 62(2), pages 335-354.
    13. Kovac, A., 2007. "Smooth functions and local extreme values," Computational Statistics & Data Analysis, Elsevier, vol. 51(10), pages 5155-5171, June.
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    Cited by:

    1. Di Bernardino, Elena & Rullière, Didier, 2013. "Distortions of multivariate distribution functions and associated level curves: Applications in multivariate risk theory," Insurance: Mathematics and Economics, Elsevier, vol. 53(1), pages 190-205.
    2. Domma, Filippo & Condino, Francesca, 2014. "A new class of distribution functions for lifetime data," Reliability Engineering and System Safety, Elsevier, vol. 129(C), pages 36-45.
    3. Renaut, Rosemary A. & Hnetynková, Iveta & Mead, Jodi, 2010. "Regularization parameter estimation for large-scale Tikhonov regularization using a priori information," Computational Statistics & Data Analysis, Elsevier, vol. 54(12), pages 3430-3445, December.
    4. Elena Di Bernardino & Didier Rullière, 2012. "Distortions of multivariate risk measures: a level-sets based approach," Working Papers hal-00756387, HAL.
    5. repec:hal:wpaper:hal-00750873 is not listed on IDEAS

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