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Nonparametric analysis of univariate heavy-tailed data : research and practice / Natalia Markovich

Por: Tipo de material: TextoTextoSeries Detalles de publicación: hichester, England : John Wiley Sons, c2007Descripción: xxi, 310 p. : il. ; 24 cmISBN:
  • 0470510870
  • 9780470510872
Tema(s): Clasificación LoC:
  • QA 278 .8 M37
Contenidos:
Definitions and rough detection of tail heaviness -- Classical methods of probability density estimation -- Heavy-tailed density estimation -- Transformations and heavy-tailed density estimation -- Classification and retransformed density estimates -- Estimation of high quantiles -- Nonparametric estimation of the hazard rate function -- Nonparametric estimation of the renewal function
Resumen: "Heavy-tailed distributions are typical for phenomena in complex multi-component systems such as biometry, economics, ecological systems, sociology, web access statistics, internet traffic, biblio-metrics, finance and business. The analysis of such distributions requires special methods of estimation due to their specific features. These are not only the slow decay to zero of the tail, but also the violation of Cramer's condition, possible non-existence of some moments, and sparse observations in the tail of the distribution."--P. [4]
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Incluye referencias bibliográficas: p. [295]-305 e índice

Definitions and rough detection of tail heaviness -- Classical methods of probability density estimation -- Heavy-tailed density estimation -- Transformations and heavy-tailed density estimation -- Classification and retransformed density estimates -- Estimation of high quantiles -- Nonparametric estimation of the hazard rate function -- Nonparametric estimation of the renewal function

"Heavy-tailed distributions are typical for phenomena in complex multi-component systems such as biometry, economics, ecological systems, sociology, web access statistics, internet traffic, biblio-metrics, finance and business. The analysis of such distributions requires special methods of estimation due to their specific features. These are not only the slow decay to zero of the tail, but also the violation of Cramer's condition, possible non-existence of some moments, and sparse observations in the tail of the distribution."--P. [4]

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