Application and Properties of the Probability Density Aexp(-(x-c)2/(a(x-c)+2b2))

Details Application and Properties of the Probability Density Aexp(-(x-c)2/(a(x-c)+2b2)) Application and Properties of the Probability Density Aexp(-(x-c)2/(a(x-c)+2b2))

Jul 2003

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2003icrc....2..535k&link_type=abstract

Proceedings of the 28th International Cosmic Ray Conference. July 31-August 7, 2003. Trukuba, Japan. Under the auspices of the I

Physics

Scientific paper

The form of functions of the probability density Aexp((x - c)2 /(a(x - c) + 2b2 )) ( 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 distribution.

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