One-dimensional statistics of the relative variations in the critical frequency of the ionospheric F2 layer at different latitudes

摘要

The theoretical-empirical method for constructing one-dimensional functions of the probability density of relative variations in the ionospheric critical frequency has been considered. The method is based on the construction of an analytical model of a random quantity specified on the entire coordinate axis and calibrated by the first four statistical invariants: average, variance, asymmetry, and excess. The model substantially differs from the known construction in the form of a truncated Edgeworth series in that this model is based on an analytical structure successively synthesized for a random pulsed process. Generalization for an asymmetric case is achieved by using non-holomorphic functions. Continuity of a synthesized probability density function is achieved by merging symmetric function halves, taken on different scales on the x semiaxes, at the point of origin. A model effectiveness is confirmed based on the set of relative variations in the critical frequency obtained at the global network of vertical sounding stations in the period January 5-11, 1995 (40 stations mostly in the Northern Hemisphere).