Title : ( On uncertainty and information properties of ranked set samples )
Authors: Mohammad Jafari Jozani , Jafar Ahmadi ,
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Abstract
Ranked set sampling is a sampling design which has a wide range of applications in industrial statistics, economics and environmental and ecological studies, etc.. It is well known that ranked set samples provide more Fisher information than simple random samples of the same size about the unknown parameters of the underlying distribution in parametric inferences. In this paper, we consider the uncertainty and information content of ranked set samples in both perfect and imperfect ranking scenarios in terms of Shannon entropy, Renyi and Kullback-Leibler (KL) information measures. It is proved that under these information measures, ranked set sampling design performs better than its simple random sampling counterpart of the same size. The information content is also a monotone function of the set size in ranked set sampling. Moreover, the effect of ranking error on the information content of the data is investigated.
Keywords
, Ranked set sampling; Kullback, Leibler; Order statistics; Imperfect ranking; Renyi Information; Shannon entropy.
@article{paperid:1038016,
author = {Mohammad Jafari Jozani and Ahmadi, Jafar},
title = {On uncertainty and information properties of ranked set samples},
journal = {Information Sciences},
year = {2014},
volume = {264},
number = {1},
month = {March},
issn = {0020-0255},
pages = {291--301},
numpages = {10},
keywords = {Ranked set sampling; Kullback-Leibler; Order statistics; Imperfect ranking; Renyi Information; Shannon entropy.},
}
%0 Journal Article
%T On uncertainty and information properties of ranked set samples
%A Mohammad Jafari Jozani
%A Ahmadi, Jafar
%J Information Sciences
%@ 0020-0255
%D 2014
