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The exponential-normal form and its application to ultra high energy cascades investigation
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A. A. Kirillov
Published/Copyright:
August 19, 2009
Abstract
The normalized exponential-normal form A · exp(–(x – c)2/(a(x – c) + 2b2)) is an asymmetric distribution intermediate between the normal and exponential distributions. Some properties of the form are presented and some methods of approximation are suggested. Appropriate formulae and table are presented. The quality of original data defines the specific features of the methods. Application of the methods is illustrated by ultra high energy atmospheric showers investigation. The relation to the exponential and normal distributions makes the form useful and effective in applications.
Keywords.: Approximation; normal distribution; exponential distribution; quality of data; ultra high energy cosmic ray
Received: 2008-03-04
Revised: 2009-06-15
Published Online: 2009-08-19
Published in Print: 2009-August
© de Gruyter 2009
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Keywords for this article
Approximation;
normal distribution;
exponential distribution;
quality of data;
ultra high energy cosmic ray
Articles in the same Issue
- On the simulation of Markov chain steady-state distribution using CFTP algorithm
- The exponential-normal form and its application to ultra high energy cascades investigation
- On importance sampling in the problem of global optimization
- Bayesian and non-Bayesian analysis of mixed-effects PK/PD models based on differential equations
- Correction of a proof in “A probabilistic result on the discrepancy of a hybrid-Monte Carlo sequence and applications”
