Interpretation and Application of Statistical Analysis for Random Physical Phenomena

This paper is an expository presentation on 1) mathematical and statistical concepts deemed to be important in analyzing the nature of random physical phenomena, 2) development of over-all procedures for evaluating single records and a collection of records, and 3) particular details on interpreting and applying probability density functions, correlation functions, and power spectral density functions. The discussion is directed towards a general audience to help bring about a wider understanding of these ideas for application to many problems such as: vibration in space vehicles, meteorological or oceanographic prediction, electrical noise properties, biomedical research, etc.