1. BOUNDS AND APPROXIMATIONS FOR THE MOMENTS OF ORDER STATISTICS.
- Author
-
Joshi, Prakash C.
- Subjects
- *
APPROXIMATION theory , *NONPARAMETRIC statistics , *MOMENTS method (Statistics) , *MATHEMATICAL statistics , *STATISTICS , *DISTRIBUTION (Probability theory) , *NUMERICAL calculations , *PROBABILITY theory - Abstract
In this paper methods for obtaining approximations and bounds for the moments of order statistics from a continuous parent distribution are discussed. These bounds and approximations depend on the distribution function only through certain moments of order statistics in small samples. It is shown that for the Cauchy distribution bounds and approximations of all finite moments can be obtained. Some numerical calculations for normal and Cauchy distributions are also given. [ABSTRACT FROM AUTHOR]
- Published
- 1969
- Full Text
- View/download PDF