Results 1 to 10 of about 57,386 (264)
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 ...
Francisca Leidmar Josué Vieira +3 more
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Multisensor Estimation Fusion on Statistical Manifold [PDF]
Entropy, 2022 In the paper, we characterize local estimates from multiple distributed sensors as posterior probability densities, which are assumed to belong to a common parametric family.
Xiangbing Chen, Jie Zhou
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Mixture and Exponential Arcs on Generalized Statistical Manifold [PDF]
Entropy, 2018 In this paper, we investigate the mixture arc on generalized statistical manifolds. We ensure that the generalization of the mixture arc is well defined and we are able to provide a generalization of the open exponential arc and its properties.
Luiza H. F. de Andrade +3 more
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On Almost Norden Statistical Manifolds
Entropy, 2022 We consider a statistical connection ∇ on an almost complex manifold with (pseudo-) Riemannian metric, in particular the Norden metric. We investigate almost Norden (statistical) manifolds under the condition that the almost complex structure J is ...
Leila Samereh +2 more
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Immersions into Statistical Manifolds
Proceedings of the National Academy of Sciences, India Section A: Physical Sciences, 2021 This paper studies the geometry of immersions into statistical manifolds. A necessary and sufficient condition is obtained for statistical manifold structures to be dual to each other for a non-degenerate equiaffine immersion. Then we obtain conditions for realizing an n-dimensional statistical manifold in an (n+1)-dimensional statistical manifold and ...
T. V. Mahaesh +1 more
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On Nearly Sasakian and Nearly Kähler Statistical Manifolds
Mathematics, 2023 In this paper, we introduce the notions of nearly Sasakian and nearly Kähler statistical structures with a non-trivial example. The conditions for a real hypersurface in a nearly Kähler statistical manifold to admit a nearly Sasakian statistical ...
Siraj Uddin +3 more
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Entropy, 2022 In this paper, we prove some inequalities between intrinsic and extrinsic curvature invariants, namely the normalized δ-Casorati curvatures and the scalar curvature of statistical submanifolds in Kenmotsu statistical manifolds of constant ϕ-sectional ...
Simona Decu, Gabriel-Eduard Vîlcu
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International Electronic Journal of Geometry, 2021 In this paper, we study the statistical immersion of codimension one from a Sasakian statistical manifold of constant φ− curvature to a holomorphic statistical manifold of constant holomorphic curvature and its converse. We prove that in both cases the constant φ− curvature equals to one and the constant holomorphic curvature must be zero. Moreover, we
Feng Wu, Yan Jıang, Liang Zhang
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Mathematics, 2022 In this paper, we establish some inequalities between the normalized δ-Casorati curvatures and the scalar curvature (i.e., between extrinsic and intrinsic invariants) of spacelike statistical submanifolds in Sasaki-like statistical manifolds, endowed ...
Simona Decu
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Axioms, 2023 The purpose of this paper is to find some conditions under which the tangent bundle TM has a dualistic structure. Then, we introduce infinitesimal affine transformations on statistical manifolds and investigate these structures on a special statistical ...
Esmaeil Peyghan +2 more
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