CHARACTERIZATIONS OF A LOCATION-SCALE FAMILY OF DISTRIBUTIONS DEFINED BY A SYMMETRIC DISTRIBUTION

Truc T. Nguyen (U. S. A.), Arjun K. Gupta (U. S. A.), Leandro Pardo (Spain) and Khoan T. Dinh (U. S. A.)

Received October 20, 2007

References:

[1] R. B. D’Agostino and M. A. Stephens, Goodness-of-fit Techniques, Marcel Dekker Inc., New York, 1986. [2] N. L. Johnson, S. Kotz and N. Balakrishnan, Continuous Univariate Distributions 2, 2nd ed., Wiley & Sons Inc., New York, 1995. [3] I. Kotlarski, On characterizing the normal distribution by Student’s t law, Biometrika 53 (1966), 603-606. [4] S. Kotz, T. J. Kozubowski and K. Podgorski, The Laplace Distribution and Generalizations, Birkhäuser Inc., Boston, 2001. [5] E. L. Lehmann and G. Casella, Theory of Point Estimation, 2nd ed., Springer Inc., New York, 1998. [6] T. T. Nguyen, A. K. Gupta, L. Pardo and K. T. Dinh, Some characterizations of Laplace distribution, Technical Report, Department of Mathematics and Statistics, Bowling Green State University, Bowling Green, OH 43403, 2007. [7] M. Rosenblatt, Remark on multivariate transformation, Ann. Math. Statist. 23 (1952), 470-472.

Keywords and phrases: conditional density function, characteristic function, goodness-of-fit test, Laplace distribution.