κ-generalization of Gauss’ law of error
نویسندگان
چکیده
Based on the κ-deformed functions (κ-exponential and κ-logarithm) and associated multiplication operation (κ-product) introduced by Kaniadakis (Phys. Rev. E 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 so-called κ-Gaussian distributions.
منابع مشابه
Bonnesen-type inequalities for surfaces of constant curvature
A Bonnesen-type inequality is a sharp isoperimetric inequality that includes an error estimate in terms of inscribed and circumscribed regions. A kinematic technique is used to prove a Bonnesen-type inequality for the Euclidean sphere (having constant Gauss curvature κ > 0) and the hyperbolic plane (having constant Gauss curvature κ < 0). These generalized inequalities each converge to the clas...
متن کاملOn Isometric and Minimal Isometric Embeddings
In this paper we study critial isometric and minimal isometric embeddings of classes of Riemannian metrics which we call quasi-κ-curved metrics. Quasi-κ-curved metrics generalize the metrics of space forms. We construct explicit examples and prove results about existence and rigidity. Introduction Definition: Let (M, g̃) be a Riemannian manifold. We will say g̃ is a quasi-κcurved metric if there ...
متن کاملGravitational coupling constant in higher dimensions
Assuming the equivalence of FRW-cosmological models and their Newtonian counterparts, we propose using the Gauss law in arbitrary dimension a general relation between the Newtonian gravitational constant G and the gravitational coupling constant κ.
متن کاملBicovariant Calculus in Quantum Theory and a Generalization of the Gauss Law
We construct a deformation of the quantum algebra Fun(T G) associated with Lie group G to the case where G is replaced by a quantum group Gq which has a bicovariant calculus. The deformation easily allows for the inclusion of the current algebra of left and right invariant one forms. We use it to examine a possible generalization of the Gauss law commutation relations for gauge theories based o...
متن کاملMagnetization and dynamically induced finite densities in three-dimensional Chern-Simons QED
We show that the spontaneous magnetization occurs as realization of finite density vacua, those are the lowest Landau levels fully or half occupied by fermions, in (2+1)-dimensional QED with a Chern-Simons term. The charge condensation is shown to appear so as to complement the fermion anti-fermion condensate which breaks the flavor U(2N) symmetry and causes the fermion mass generation. The sol...
متن کامل