Document Type
Report
Source Publication Title
Technical Report 24
Abstract
Due to the physical nature of certain periodic data, the harmonic dial points (the Fourier coefficients obtained from harmonic analysis of the data) are sometimes restricted to circular regions in the dialplane. It is proposed that a circular normal distribution (CND) truncated outside a circular region be used to describe the probabilistic behavior of the random phenomena. Recurrence relations for the population moments of a CND truncated outside a circular region are derived. These recurrence relations are used to obtain consistent asymptotically (jointly) normal estimators of the unknown parameters of the distribution. A numerical example based on the harmonic dial points representing the 27-day recurrence tendency of the daily international magnetic character - figure [see pdf for notation] is given to illustrate the theory.
Disciplines
Mathematics | Physical Sciences and Mathematics
Publication Date
4-1-1975
Language
English
License
This work is licensed under a Creative Commons Attribution-NonCommercial-Share Alike 4.0 International License.
Recommended Citation
Dyer, Danny D., "Statistical Analysis of Fourier Coefficients in a Restricted Harmonic Dial" (1975). Mathematics Technical Papers. 103.
https://mavmatrix.uta.edu/math_technicalpapers/103