Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9503031 | Journal of Mathematical Analysis and Applications | 2005 | 17 Pages |
Abstract
In a recent paper, Matysiak and Szablowski [V. Matysiak, P.J. Szablowski, Theory Probab. Appl. 45 (2001) 711-713] posed an interesting conjecture about a lower bound of real-valued characteristic functions. Under a suitable moment condition on distributions, we prove the conjecture to be true. The unified approach proposed here enables us to obtain new inequalities for characteristic functions. We also show by example that the improvement in the bounds is significant if more information about the distribution is available.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Chin-Yuan Hu, Gwo Dong Lin,