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Information Generating Function of Ranked Set Samples
Authors:Omid Kharazmi  Mostafa Tamandi  Narayanaswamy Balakrishnan
Affiliation:1.Department of Statistics, Faculty of Mathematical Sciences, Vali-e-Asr University of Rafsanjan, Rafsanjan P.O. Box 518, Iran; (O.K.); (M.T.);2.Department of Mathematics and Statistics, McMaster University, Hamilton, ON L8S 4L8, Canada
Abstract:In the present paper, we study the information generating (IG) function and relative information generating (RIG) function measures associated with maximum and minimum ranked set sampling (RSS) schemes with unequal sizes. We also examine the IG measures for simple random sampling (SRS) and provide some comparison results between SRS and RSS procedures in terms of dispersive stochastic ordering. Finally, we discuss the RIG divergence measure between SRS and RSS frameworks.
Keywords:information generating function, relative information generating function, Kullback–  Leibler divergence, ranked set sampling, simple random sampling
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