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Entropic moments and domains of attraction on countable alphabets

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Publication:722605
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DOI10.3103/S1066530718010040zbMath1396.62004OpenAlexW2802230762WikidataQ129891877 ScholiaQ129891877MaRDI QIDQ722605

Lukun Zheng, Stanislav Alekseevich Molchanov, Zhiyi Zhang

Publication date: 27 July 2018

Published in: Mathematical Methods of Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1066530718010040


zbMATH Keywords

domains of attractioncountable alphabetsentropic momentsTuring's formula


Mathematics Subject Classification ID

Statistics of extreme values; tail inference (62G32) Statistical aspects of information-theoretic topics (62B10)





Cites Work

  • Unnamed Item
  • Asymptotic normality of a nonparametric estimator of sample coverage
  • Re-parameterization of multinomial distributions and diversity indices
  • A normal limit law for a nonparametric estimator of the coverage of a random sample
  • Domains of attraction on countable alphabets
  • Entropic representation and estimation of diversity indices
  • Statistical Implications of Turing's Formula
  • Estimating the Total Probability of the Unobserved Outcomes of an Experiment
  • THE POPULATION FREQUENCIES OF SPECIES AND THE ESTIMATION OF POPULATION PARAMETERS




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