Document Type
Article
Source Publication Title
ISRN Applied Mathematics
DOI
http://dx.doi.org/10.5402/2012/945627
Abstract
This paper derives a procedure for determining the expectations of order statistics associated with the standard normal distribution Z and its powers of order three and five Z3 and Z5. The procedure is demonstrated for sample sizes of n = 9. It is shown that Z3 and Z5 have expectations of order statistics that are functions of the expectations for Z and can be expressed in terms of explicit elementary functions for sample sizes of n = 5. For sample sizes of n 6, 7 the expectations of the order statistics for Z, Z3, and Z5 only require a single remainder term.
Disciplines
Curriculum and Instruction | Education
Publication Date
1-1-2012
Language
English
License
This work is licensed under a Creative Commons Attribution-NonCommercial-Share Alike 4.0 International License.
Recommended Citation
Headrick, Todd C. and Pant, Mohan, "On the order statistics of standard normal based power method distributions" (2012). Curriculum and Instruction Faculty Publications. 35.
https://mavmatrix.uta.edu/curriculuminstruction_facpubs/35