Interrelationship between some statistical distributions used in radio-wave propagation

In the study of certain aspects of radio-wave propagation it is helpful to employ simple mathematical models to compare the distributions of signal parameters such as electric field strength, signal voltage, signal power, or signal/noise ratio. Statistical distributions in use for this purpose include the exponential, normal, Rayleigh, gamma, Nakagami-m, and Weibull distributions. The present investigation has the objective to point out that these distributions are all interrelated forms of a single generalized distribution having two descriptive parameters, n and m. Attention is given to basic exponential equations, statistical parameters, the gamma function, the introduction of two auxiliary coefficients into the generalized equation, the modified gamma integral, the analysis of generalized distribution, and cumulative probability curves.