Information content of partially rank-ordered set samples

AStA Advances in Statistical Analysis - Tập 101 - Trang 117-149 - 2016
Armin Hatefi1,2, Mohammad Jafari Jozani3
1The Fields Institute for Research in Mathematical Sciences, Toronto, Canada
2Department of Statistical Sciences, University of Toronto, Toronto, Canada
3Department of Statistics, University of Manitoba, Winnipeg, Canada

Tóm tắt

Partially rank-ordered set (PROS) sampling is a generalization of ranked set sampling in which rankers are not required to fully rank the sampling units in each set, hence having more flexibility to perform the necessary judgemental ranking process. The PROS sampling has a wide range of applications in different fields ranging from environmental and ecological studies to medical research and it has been shown to be superior over ranked set sampling and simple random sampling for estimating the population mean. We study Fisher information content and uncertainty structure of the PROS samples and compare them with those of simple random sample (SRS) and ranked set sample (RSS) counterparts of the same size from the underlying population. We study uncertainty structure in terms of the Shannon entropy, Rényi entropy and Kullback–Leibler (KL) discrimination measures.

Tài liệu tham khảo

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