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Articles

Density estimation of a sum random variable from contaminated data samples

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Pages 2822-2841 | Received 03 Aug 2021, Accepted 30 May 2022, Published online: 27 Jun 2022

References

  • Beaulieu, N. C., A. A. Abu-Dayya, and P. J. McLane. 1995. Estimating the distribution of a sum of independent lognormal random variables. IEEE Transactions on Communications 43 (12):2869–73. doi:10.1109/26.477480.
  • Dattner, I. 2013. Deconvolution of P(X<Y) with supersmooth error distributions. Statistics & Probability Letters 83 (8):1880–7. doi:10.1016/j.spl.2013.04.024.
  • Fan, J. 1991. On the optimal rates of convergence for nonparametric deconvolution problems. The Annals of Statistics 19 (3):1257–72. doi:10.1214/aos/1176348248.
  • Frees, E. W. 1994. Estimating densities of functions of observations. Journal of the American Statistical Association 89 (426):517–25. doi:10.1080/01621459.1994.10476776.
  • Meister, A. 2009. Deconvolution problems in nonparametric statistics. Berlin: Springer.
  • Nadarajah, S. 2008. A review of results on sums of random variables. Acta Applicandae Mathematicae 103 (2):131–40. doi:10.1007/s10440-008-9224-4.
  • Phuong, C. X., and L. T. H. Thuy. 2021. Distribution estimation of a sum random variable from noisy samples. Bulletin of the Malaysian Mathematical Sciences Society 44 (5):2773–811. doi:10.1007/s40840-021-01088-w.
  • Romeo, M., V. Da Costa, and F. Bardou. 2003. Broad distribution effects in sums of lognormal random variables. The European Physical Journal B - Condensed Matter 32 (4):513–25. doi:10.1140/epjb/e2003-00131-6.
  • Trong, D. D., T. T. Q. Nguyen, and C. X. Phuong. 2017. Deconvolution of P(X<Y) with compactly supported error densities. Statistics & Probability Letters 123:171–6. doi:10.1016/j.spl.2016.12.014.

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