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Statistics and Probability Commons

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Mathematics

2013

Mathematics and Statistics Faculty Publications and Presentations

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Full-Text Articles in Statistics and Probability

Some New Applications Of P-P Plots, Isha Dewan, Subhash C. Kochar Mar 2013

Some New Applications Of P-P Plots, Isha Dewan, Subhash C. Kochar

Mathematics and Statistics Faculty Publications and Presentations

The P-P plot is a powerful graphical tool to compare stochastically the magnitudes of two random variables. In this note, we introduce a new partial order, called P?P order based on P-P plots. For a pair of random variables (X 1, Y1) and (X 2, Y 2) one can see the relative precedence of Y 2 over X 2 versus that of Y 1 over X 1 using P-P order. We show that several seemingly very technical and difficult concepts like convex transform order and super-additive ordering can be easily explained with the …