$κ$-generalization of Gauss' law of error

Details $κ$-generalization of Gauss' law of error $κ$-generalization of Gauss' law of error

2005-05-12

arxiv.org/abs/cond-mat/0505313v1

Physics

Condensed Matter

Statistical Mechanics

9 pages, 1 figure, latex file using elsart.cls style file

Scientific paper

Based on the $\kappa$-deformed functions ($\kappa$-exponential and $\kappa$-logarithm) and associated multiplication operation ($\kappa$-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 $\kappa$-product. This $\kappa$-generalized maximum likelihood principle leads to the {\it so-called} $\kappa$-Gaussian distributions.

Affiliated with

Also associated with

No associations

Rating

$κ$-generalization of Gauss' law of error does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with $κ$-generalization of Gauss' law of error, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and $κ$-generalization of Gauss' law of error will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-162739