Alternating sums of sub-diagonal product moments of order statistics |
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Authors: | Sharmishtha Chakraborty PC Joshi |
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Institution: | Department of Mathematics , Indian Institute of Technology , Kanpur, 208016, India |
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Abstract: | A relation satisfied by the product moments of order statistics from an arbitrary continuous distribution symmetric about the origin has been established in this paper. We have shown that in such a situation, for samples of even size, sum of the sub-diagonal product moments of order statistics with alternating plus and minus signs assumes a compact form. |
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Keywords: | Order statistics product moments sum of sub-diagonal elements |
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