Tail fit and the Zipf-Pareto law

DOI10.1007/s10687-007-0030-6zbMath1164.62349OpenAlexW2035702604MaRDI QIDQ2463679

Marcus C. Spruill, Paul H. Schuette

Publication date: 16 December 2007

Published in: Extremes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10687-007-0030-6

zbMATH Keywords

order statisticsexponential distributionsvon Mises conditionregularly varying tails

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Asymptotic properties of nonparametric inference (62G20) Order statistics; empirical distribution functions (62G30) Statistics of extreme values; tail inference (62G32)

Cites Work

• Unnamed Item
• Tail estimates motivated by extreme value theory
• Extremes and related properties of random sequences and processes
• Rates of convergence for densities in extreme value theory
• Local limit theorems for sample extremes
• Approximate distributions of order statistics. With applications to nonparametric statistics
• Unified large-sample theory of general chi-squared statistics for tests of fit
• A simple general approach to inference about the tail of a distribution
• ON A CLASS OF SKEW DISTRIBUTION FUNCTIONS
• Studies in the history of probability and statistics: XI. Daniel Bernoulli on maximum likelihood
• Stronger Forms of Zipf's Law

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