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 Crameras condition, possible non-existence of some moments, and sparse observations in the tail of the distribution. The book focuses on the methods of statistical analysis of heavy-tailed independent identically distributed random variables by empirical samples of moderate sizes. It provides a detailed survey of classical results and recent developments in the theory of nonparametric estimation of the probability density function, the tail index, the hazard rate and the renewal function. Both asymptotical results, for example convergence rates of the estimates, and results for the samples of moderate sizes supported by Monte-Carlo investigation, are considered. The text is illustrated by the application of the considered methodologies to real data of web traffic measurements.KEDEM and FOKIANOS Am Regression Models for Time Series Analysis KENDALL , BARDEN, CARNE, and LE Am Shape and Shape Theory ... Statistical Tests for Mixed Linear Models aKISH Am Statistical Design for Research KLEIBER and KOTZ Am Statistical Size Distributions in ... and WILLMOT Am solutions Manual to Accompany Loss Models: From Data to Decisions KOTZ, BALAKRISHNAN and JOHNSONanbsp;...
|Title||:||Nonparametric Analysis of Univariate Heavy-Tailed Data|
|Publisher||:||John Wiley & Sons - 2008-03-11|