arXiv subjects

H. Suyari

Publications and source records attributed to H. Suyari.

2 recordsLinked to original sources

arXiv2005

$κ$-generalization of Stirling approximation and multinominal coefficients

Stirling approximation of the factorials and multinominal coefficients are generalized based on the one-parameter ($κ$) deformed functions introduced by Kaniadakis [Phys. Rev. E \textbf{66} (2002) 056125]. We have obtained the relation between the $κ$-generalized multinominal coefficients and the $κ$-entropy by introducing a new $κ$-product operation.

cond-mat.stat-mech↗

arXiv2005

$κ$-generalization of Gauss' law of error

Based on the $κ$-deformed functions ($κ$-exponential and $κ$-logarithm) and associated multiplication operation ($κ$-product) introduced by Kaniadakis (Phys. Rev. E \textbf{66} (2002) 056125), we present another one-parameter generalization of Gauss' law of error. The likelihood function in Gauss' law of error is generalized by means of the $κ$-product. This $κ$-generalized maximum likelihood principle leads to the {\it so-called} $κ$-Gaussian distributions.

cond-mat.stat-mech↗