Smooth distribution function estimation for lifetime distributions using Szasz–Mirakyan operators
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DOI: 10.1007/s10463-020-00783-y
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- Yousri Slaoui, 2014. "Bandwidth Selection for Recursive Kernel Density Estimators Defined by Stochastic Approximation Method," Journal of Probability and Statistics, Hindawi, vol. 2014, pages 1-11, June.
- Choongrak Kim & Sungsoo Kim & Mira Park & Hakbae Lee, 2006. "A bias reducing technique in kernel distribution function estimation," Computational Statistics, Springer, vol. 21(3), pages 589-601, December.
- Alexandre Leblanc, 2012. "On estimating distribution functions using Bernstein polynomials," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 64(5), pages 919-943, October.
- M. Falk, 1983. "Relative efficiency and deficiency of kernel type estimators of smooth distribution functions," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 37(2), pages 73-83, June.
- Asma Jmaei & Yousri Slaoui & Wassima Dellagi, 2017. "Recursive distribution estimator defined by stochastic approximation method using Bernstein polynomials," Journal of Nonparametric Statistics, Taylor & Francis Journals, vol. 29(4), pages 792-805, October.
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Cited by:
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- Pierre Lafaye de Micheaux & Frédéric Ouimet, 2021. "A Study of Seven Asymmetric Kernels for the Estimation of Cumulative Distribution Functions," Mathematics, MDPI, vol. 9(20), pages 1-35, October.
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Keywords
Distribution function estimation; Nonparametric; Szasz–Mirakyan operator; Hermite estimator; Mean squared error;All these keywords.
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