2003•Unpublished venueRequires access
Application and Properties of the Probability Density Aexp((xc) 2 /(a(xc )+2 b 2 ))
Leninskie Gory
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Abstract
The form of functions of the probability density Aexp((x − c) 2 /(a(x − c )+ 2b 2 )) ( defined in a half-line, asymmetric, with region of maximum as that of the normal distribution and exponentially attenuating at large x values) enables to describe a wider class of processes than just normal distribution. Similar to the normal distribution, this function can be used to describe the measurement error distribution, its asymmetry being taken into account. The function is useful for simulation process and is the basis for physical description of UHE cascades. Properties of the probability density, formulae for calculation its parameters are presented in brief. One can operate with this distribution as well as with normal