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 - Archive. 35.
https://mavmatrix.uta.edu/curriculuminstruction_facpubs/35