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

By: Material type: TextTextSeries: Publication details: hichester, England : John Wiley Sons, c2007Description: xxi, 310 p. : il. ; 24 cmISBN:
  • 0470510870
  • 9780470510872
Subject(s): LOC classification:
  • QA 278 .8 M37
Contents:
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
Summary: "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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Holdings
Item type Current library Home library Collection Call number Copy number Status Notes Date due Barcode Item holds
Libros para consulta en sala Libros para consulta en sala Biblioteca Antonio Enriquez Savignac Estantería General (Primer piso) Biblioteca Antonio Enriquez Savignac Estantería General (Primer piso) COLECCIÓN RESERVA QA 278 .8 M37 (Browse shelf(Opens below)) Ejem. 1 No para préstamo Ingeniería en Datos e Inteligencia Organizacional 031746
Total holds: 0

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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