Some inequalities for characteristic functions. II |
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| Authors: | Chin-Yuan Hu |
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| Affiliation: | a Department of Business Education, National Changhua University of Education, Changhua 50058, Taiwan, ROC
b Institute of Statistical Science, Academia Sinica, Taipei 11529, Taiwan, ROC |
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| Abstract: | Recently we established Matysiak and Szablowski's conjecture [V. Matysiak, P.J. Szablowski, Theory Probab. Appl. 45 (2001) 711-713] about a lower bound of real-valued characteristic functions. In this paper, applying an alternative approach we are able to give explicitly the ranges of argument for which the obtained inequalities hold true for general characteristic functions. |
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| Keywords: | Inequality Characteristic function Differential inequality Chebyshev polynomial Lagrange polynomial Vandermonde determinant |
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