Results 31 to 40 of about 4,356 (253)

A Deformed Exponential Statistical Manifold [PDF]

Entropy, 2019
Consider μ a probability measure and P μ the set of μ -equivalent strictly positive probability densities. To endow P μ with a structure of a C ∞ -Banach manifold we use the φ -connection by an open arc, where φ is a deformed exponential function which assumes zero until a certain point and from then on is ...
Francisca Leidmar Josué Vieira, Luiza Helena Félix de Andrade, Rui Facundo Vigelis, Charles Casimiro Cavalcante   +3 more
openaire   +3 more sources

Foundations of Structural Statistics: Statistical Manifolds

CoRR, 2020
Upon a consistent topological statistical theory the application of structural statistics requires a quantification of the proximity structure of model spaces. An important tool to study these structures are Pseudo-Riemannian metrices, which in the category of statistical models are induced by statistical divergences.
openaire   +2 more sources

Combinatorial Optimization with Information Geometry: The Newton Method

Entropy, 2014
e discuss the use of the Newton method in the computation of max(p → Εp [f]), where p belongs to a statistical exponential family on a finite state space.
Luigi Malagò, Giovanni Pistone
doaj   +1 more source

Pinching Theorems for Statistical Submanifolds in Sasaki-Like Statistical Space Forms

Entropy, 2018
In this paper, we obtain the upper bounds for the normalized δ -Casorati curvatures and generalized normalized δ -Casorati curvatures for statistical submanifolds in Sasaki-like statistical manifolds with constant curvature. Further,
Ali H. Alkhaldi, Mohd. Aquib, Aliya Naaz Siddiqui, Mohammad Hasan Shahid   +3 more
doaj   +1 more source

Lifts of a Semi-Symmetric Metric Connection from Sasakian Statistical Manifolds to Tangent Bundle

Mathematics
The lifts of Sasakian statistical manifolds associated with a semi-symmetric metric connection in the tangent bundle are characterized in the current research.
Rajesh Kumar, Sameh Shenawy, Nasser Bin Turki, Lalnunenga Colney, Uday Chand De   +4 more
doaj   +1 more source

Statistical cosymplectic manifolds and their submanifolds

پژوهش‌های ریاضی, 2022
Introduction Let p(x,ζ) be the set of parametric probability distribution with parameter ζ=ζ1,…,ζn∊Rn. This set is called a statistical model or manifold. The distance between two points is measured by the Fisher metric. In general, statistical manifolds
Mohammad Bagher Kazemi, Shiva Salahvarzi
doaj  

Relations between Extrinsic and Intrinsic Invariants of Statistical Submanifolds in Sasaki-Like Statistical Manifolds

Mathematics, 2021
The Chen first inequality and a Chen inequality for the δ(2,2)-invariant on statistical submanifolds of Sasaki-like statistical manifolds, under a curvature condition, are obtained.
Hülya Aytimur, Adela Mihai, Cihan Özgür   +2 more
doaj   +1 more source

Statistical Solitonic Impact on Submanifolds of Kenmotsu Statistical Manifolds

Mathematics
In this article, we delve into the study of statistical solitons on submanifolds of Kenmotsu statistical manifolds, introducing the presence of concircular vector fields. This investigation is further extended to study the behavior of almost quasi-Yamabe
Abdullah Ali H. Ahmadini, Mohd. Danish Siddiqi, Aliya Naaz Siddiqui   +2 more
doaj   +1 more source

The δ(2,2)-Invariant on Statistical Submanifolds in Hessian Manifolds of Constant Hessian Curvature

Entropy, 2020
We establish Chen inequality for the invariant δ ( 2 , 2 ) on statistical submanifolds in Hessian manifolds of constant Hessian curvature. Recently, in co-operation with Chen, we proved a Chen first inequality for such submanifolds.
Adela Mihai, Ion Mihai
doaj   +1 more source

Quaternion Statistical Submanifolds and Submersions

Mathematics
This paper aims to develop a general theory of quaternion Kahlerian statistical manifolds and to study quaternion CR-statistical submanifolds in such ambient manifolds.
Aliya Naaz Siddiqui, Fatimah Alghamdi
doaj   +1 more source