Some results related to permanental inequalities |
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Authors: | Subir Kumar Bhandari |
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Institution: | a Statistics and Mathematics Division, Indian Statistical Institute, 203 B.T. Road, Calcutta 7000108, India b Applied Statistics Division, Indian Statistical Institute, 203 B.T. Road, Calcutta 7000108, India |
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Abstract: | The FKG inequality and associated inequalities have been extensively studied in the literature. The FKG inequality has been extended to a 2m-function inequality which relates to some interesting permanental inequalities. In this paper, we prove some related inequalities and also give a simple alternative proof of the 2m-function inequality. Our proofs use tools of majorization theory and are thus based on a completely different approach than the usual one. |
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Keywords: | FKG inequality Majorization Schur-convexity |
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