Elements of information theory
Elements of information theory
Formulas for Rényi information and related measures for univariate distributions
Information Sciences: an International Journal
Rényi information measure for a used item
Information Sciences: an International Journal
On some entropy functionals derived from Rényi information divergence
Information Sciences: an International Journal
Some results on generalized residual entropy
Information Sciences: an International Journal
Results on residual Rényi entropy of order statistics and record values
Information Sciences: an International Journal
The entropy of consecutive order statistics
IEEE Transactions on Information Theory - Part 2
The entropy of ordered sequences and order statistics
IEEE Transactions on Information Theory
Information properties of order statistics and spacings
IEEE Transactions on Information Theory
| Hi-index | 0.07 |
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.