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Nonparametric estimation in a multiplicative censoring model with symmetric noise

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  • F. Comte
  • C. Dion

Abstract

We consider the model $ Y_i=X_iU_i $ Yi=XiUi, $ i=1, \ldots , n $ i=1,…,n, where the $ X_i $ Xi, the $ U_i $ Ui and thus the $ Y_i $ Yi are all independent and identically distributed. The $ X_i $ Xi's have density f and are the variables of interest, the $ U_i $ Ui's are multiplicative noise with uniform density on $ [1-a,1+a] $ [1−a,1+a], for some 0

Suggested Citation

  • F. Comte & C. Dion, 2016. "Nonparametric estimation in a multiplicative censoring model with symmetric noise," Journal of Nonparametric Statistics, Taylor & Francis Journals, vol. 28(4), pages 768-801, October.
  • Handle: RePEc:taf:gnstxx:v:28:y:2016:i:4:p:768-801
    DOI: 10.1080/10485252.2016.1225737
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    Cited by:

    1. Mnatsakanov, Robert M. & Pommeret, Denys, 2024. "On recovering the relative distribution, Part 1: The moment-recovered approach," Statistics & Probability Letters, Elsevier, vol. 208(C).
    2. Su, Wen & Yong, Yaodi, 2024. "Estimating a VaR-type ruin measure by Laguerre series expansion in classical compound Poisson risk model," Statistics & Probability Letters, Elsevier, vol. 205(C).
    3. Brenner Miguel, Sergio, 2022. "Anisotropic spectral cut-off estimation under multiplicative measurement errors," Journal of Multivariate Analysis, Elsevier, vol. 190(C).

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