Near-optimal estimation of the unseen under regularly varying tail populations
Author:
Affiliation:
1. Department of Economics and Statistics, University of Torino and Collegio Carlo Alberto, Torino, 10134, Italy
2. Laboratoire de mathématiques d’Orsay, CNRS, Université Paris-Saclay, 91405 Orsay, France
Publisher
Bernoulli Society for Mathematical Statistics and Probability
Subject
Statistics and Probability
Reference53 articles.
1. Tsybakov, A.B. (2009). Introduction to Nonparametric Estimation. Springer Series in Statistics. New York: Springer. 10.1007/b13794
2. Pitman, J. (2006). Combinatorial Stochastic Processes. Lecture Notes in Math. 1875. Berlin: Springer.
3. Wu, Y. and Yang, P. (2019). Chebyshev polynomials, moment matching, and optimal estimation of the unseen. Ann. Statist. 47 857–883. 10.1214/17-AOS1665
4. Kingman, J.F.C., Taylor, S.J., Hawkes, A.G., Walker, A.M., Cox, D.R., Smith, A.F.M., Hill, B.M., Burville, P.J. and Leonard, T. (1975). Random discrete distribution. J. Roy. Statist. Soc. Ser. B 37 1–22.
5. Kingman, J.F.C. (1993). Poisson Processes. Oxford Studies in Probability 3. Oxford University Press, New York: The Clarendon Press.
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