Title : ( Goodness-of-fit test under length-biased sampling )
Authors: Seyed Mahdi Amir Jahanshahi , Arezou Habibirad , Vahid Fakoor ,
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Abstract
In this paper, we study a goodness-of-fit (GOF) test in the presence of length-biased sampling. For this purpose, we introduce a smoothed estimator of distribution function and we investigate its asymptotic behaviors, such as uniform consistency and asymptotic normality. Based on this estimator we define a one sample Kolmogorov type of GOF test for length-biased data. We conduct Monte Carlo simulations to eval-uate the performance of the proposed test statistic and compare it with the one sample Kolmogorov type of GOF test obtained by the non-smoothed estimator of distribution function.
Keywords
, Cox’s estimator; Kernel function; Length, biased data; Monte Carlo; Power study; Smoothed estimator
@article{paperid:1057341,
author = {Amir Jahanshahi, Seyed Mahdi and Habibirad, Arezou and Fakoor, Vahid},
title = {Goodness-of-fit test under length-biased sampling},
journal = {Communications in Statistics - Theory and Methods},
year = {2016},
volume = {46},
number = {15},
month = {April},
issn = {0361-0926},
pages = {7580--7592},
numpages = {12},
keywords = {Cox’s estimator; Kernel function; Length-biased data; Monte Carlo; Power study; Smoothed estimator},
}
%0 Journal Article
%T Goodness-of-fit test under length-biased sampling
%A Amir Jahanshahi, Seyed Mahdi
%A Habibirad, Arezou
%A Fakoor, Vahid
%J Communications in Statistics - Theory and Methods
%@ 0361-0926
%D 2016
