Keywords: primary; 62H15; secondary; 60F05; 60D05; Multivariate goodness-of-fit test; Nearest neighbors; α-entropy; Manifold; Test for uniformity on a circle or a sphere; Gamma-ray burst data;
مقالات ISI (ترجمه نشده)
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Keywords: 60D05; 52A22; Poisson hyperplane tessellation; Typical cell; Small cells; Number of facets; Shape; Size functional;
Keywords: 60D05; 52A22; 60F05; Forbidden region graph; Berry-Esseen bounds; Stabilization; Poisson functionals;
Keywords: 60D05; 52A22; Poisson hyperplane tessellation; Random polytopes; Typical cell; Directional distribution; Complementary Theorem; D.G. Kendall's problem;
Keywords: 49J55; 49J45; 60D05; 68R10; 62G20; Spectral clustering; Graph Laplacian; Point cloud; Discrete to continuum limit; Gamma-convergence; Dirichlet energy; Random geometric graph;
Keywords: 60D05; 94A12; Compressed sensing; Group sparsity; Sparse noise; Restricted isometry property; Golfing scheme;
On beta distributed limits of iterated linear random functions
Keywords: primary; 62E15; secondary; 60J05; 60H25; 60D05; Iterated random functions; Nested interval schemes; Markov chains; Interval splitting; Random equations; Beta distribution;
Scale and curvature effects in principal geodesic analysis
Keywords: 60D05; 62H11; 53C22; Curvature effects; Data scaling; Diffusion tensors; Dimension reduction; Manifold-valued statistics; Principal geodesic analysis (PGA); Symmetric spaces;
A random cell splitting scheme on the sphere
Keywords: 52A22; 52A55; 53C65; 60D05; 60G55; Capacity functionals; Markov processes; Martingales; Palm distributions; Point processes; Random polygons; Random tessellations; Spherical intrinsic volumes; Spherical spaces; Spherical stochastic geometry;
Keywords: 42C15; 60D05; 94A12; Frames; Probabilistic frames; Optimal transport; Wasserstein metric; Duality;
Keywords: primary; 52A23; secondary; 46B06; 52A40; 60D05; Convex bodies; Isotropic position; Slicing problem; Busemann-Petty problem; Blaschke-Petkantschin formula; Random simplices; Dual affine quermassintegrals;
A central limit theorem for the Euler integral of a Gaussian random field
Keywords: 53C65; 60D05; 60F05; 60G15; Random field; Euler integral; Gaussian processes; Central limit theorem;
Keywords: primary; 52A22; 60D05; 60G50; secondary; 60G09; 52C35; 20F55; 52B11; 60G70; Convex hull of random walk; Random polytope; Absorption probability; Exchangeability; Hyperplane arrangement; Weyl chamber;
Keywords: primary; 60D05; secondary; 60F05; 60F10; 60G55; Central limit theorem; Compound Poisson limit theorem; Concentration inequality; Covariogram; Gilbert graph; Malliavin-Stein method; Poisson point process; Random geometric graph; Stable limit theorem; Tal
Keywords: primary; 60D05; secondary; 05C80; 60C05; Random graphs; Component counts; Concentration inequalities; Logarithmic Sobolev inequalities; Poisson point process;
Keywords: 14P25; 32A25; 34L20; 60D05; 60G60; Euler characteristic; Riemannian random wave; Random polynomial; Real projective manifold;
Keywords: primary; 60G50; 60D05; secondary; 60J65; 60F05; 60F17; Convex hull; Random walk; Brownian motion; Variance asymptotics; Scaling limits;
Keywords: 62H35; 60D05; 42B10Grey-scale image; Surface area; Variance; Lattice sum; Fourier integral
Keywords: primary; 60D05; secondary; 60G55; Typical point; Typical cell; Voronoi tessellation; Total variation distance;
Keywords: primary; 60D05; secondary; 58C35; 60J75; 37A30; 47G20; 53C21; 60J65; Stochastic algorithms; Simulated annealing; Homogenization; Probability measures on compact Riemannian manifolds; Intrinsic means; Instantaneous invariant measures; Gibbs measures; Spect
Keywords: 60D05; 52A22; 53C65Integral geometry; Geometric probability; Random chord distribution; Containment function; Distance distribution
Keywords: 60D05; 60G70; 60G55; 60F05; 62G32; Random tessellations; Extreme values; Order statistics; Dependency graph; Poisson approximation; Voronoi flower; Poisson point process; Gauss-Poisson point process;
Keywords: 60J65; 60D05; Brownian motion; Convex hull; Diameter;
Keywords: 62H12; 60D05; 62G20Uniform consistency; Zonoid depth
Keywords: 60D05; 60F05; 62E20; 05C80; 05C20; 60C05Arc density; Asymptotic normality; Central limit theorem; Delaunay tessellation and triangulation; Proximity catch digraph; Reflexivity; Underlying graph; UU-statistic
Keywords: 60G70; 60D05; 60G57; 91B16Capacity; Choquet integral; Choquet random sup-measure; Comonotonic additive functional; Complete alternation; Continuous choice; Extremal coefficient; Extremal integral; LePage series; Max-stability; Random set; Sup-measure; Tai
Keywords: 62H11; 60D05; Random set; Selection expectation; Lift zonoid; Support function; Risk measure; Outlier;
Random cyclic polygons from Dirichlet distributions and approximations of Ï
Keywords: primary; 60D05; 60F05; secondary; 65C50; Dirichlet distributions; Random cyclic polygons; Approximations of Ï; Central limit theorems; Extrapolation;
Concentration for Poisson U-statistics: Subgraph counts in random geometric graphs
Keywords: primary; 60D05; secondary; 05C80; 60C05; Random graphs; Subgraph counts; Concentration inequalities; Stochastic geometry; Poisson point process; Convex distance;
Large deviations for high-dimensional random projections of âpn-balls
Keywords: primary; 60F10; 52A23; secondary; 60D05; 46B09; Convex bodies; Large deviation principles; âpn-balls; Random projections; Stochastic geometry;
PROMP: A sparse recovery approach to lattice-valued signals
Keywords: 52A41; 60D05; 94A05; Compressed sensing; Basis pursuit; Lattice search; Orthogonal matching pursuit; High-dimensional geometry;
Approaches to asymptotics for U-statistics of Gibbs facet processes
Keywords: 60D05; Central limit theorem; Gibbs facet process; U-statistics;
A randomized version of the Littlewood Conjecture
Keywords: 11J13; 60D05; Littlewood Conjecture; Covering problems;
Moment conditions in strong laws of large numbers for multiple sums and random measures
Keywords: 60G55; 60F15; 60D05; Multiple sums of random variables; Multiindices; Strong law of large numbers; Random measures;
Rotational Crofton formulae for Minkowski tensors and some affine counterparts
Keywords: 60D05; 28A75; 53C65; Integral geometry; Sets of positive reach; Minkowski tensors; Local stereology;
A CLT concerning critical points of random functions on a Euclidean space
Keywords: 60B20; 60D05; 60F05; 60G15; Gaussian random functions; Critical points; Wiener chaos; Gaussian random matrices; Central limit theorem;
Variance asymptotics and scaling limits for random polytopes
Keywords: primary; 60F05; 52A20; secondary; 60D05; 52A23; Random polytopes; Germ-grain models; Stabilization;
Asymptotic properties of Euclidean shortest-path trees in random geometric graphs
Keywords: 60D05; 05C80; Random geometric graph; Cox process; Voronoi tessellation; Shortest-path tree; Backbone length; Total length;
Stein-Malliavin approximations for nonlinear functionals of random eigenfunctions on Sd
Keywords: 60G60; 42C10; 60D05; 60B10; Gaussian eigenfunctions; High energy asymptotics; Stein-Malliavin approximations; Excursion volume;
Schur2-concavity properties of Gaussian measures, with applications to hypotheses testing
Keywords: primary; 60E15; 62H15; 62F05; 62G20; secondary; 60D05; 62E15; 62E20; 51F15; 53C65; Probability inequalities; Geometric probability; Gaussian measures; Multivariate normal distribution; Mixtures; Majorization; Stochastic ordering; Schur convexity; Hypothes
The invariator principle in convex geometry
Keywords: 60D05; 52A22; 58E05Local stereology; Invariator principle; Rotational Crofton-type formulae; Morse theory; Hadwiger's index; Surface area estimation
Minkowski tensor density formulas for Boolean models
Keywords: 60D05; 53C65; 52A22; 60G55; 62M30; 82B44Stochastic geometry; Boolean model; Stationarity; Anisotropy; Minkowski tensors; Poisson process; Translative integral geometry
Trimmed regions induced by parameters of a probability
Keywords: 62H05; 60D05; 62G20αα-trimming of a probability; Depth function; Location-scale depth; Quantile trimming; Zonoid trimming
A central limit theorem for the Poisson-Voronoi approximation
Keywords: primary; 60D05; 60F05; secondary; 60G55; 60H07; Central limit theorem; Poisson point process; Poisson-Voronoi approximation; Random tessellation; Set reconstruction; Stochastic geometry; Wiener-Itô chaos expansion;
The scaling limit of Poisson-driven order statistics with applications in geometric probability
Keywords: primary; 60F17; 60D05; 62G32; secondary; 60G55; 60H07; Chen-Stein method; Extreme values; Geometric probability; Integral geometry; Limit theorems; Malliavin calculus; Order statistics; Poisson flats; Poisson process approximation; Poisson space; Random
On the polygon generated by nn random points on a circle
Keywords: 60D05; 60F05Random convex hull; Central limit theorem; Cramér’s theorem; Spacings
Comparison of length-intensity estimators for segment processes
Keywords: 60D05; 62G05Independent marking; Length intensity; Neyman–Scott process; Poisson process; Segment process; Variance
Stochastic set differential equations
Keywords: 60D05; 60H30; 60H10Set-valued stochastic process; Set-valued stochastic integral; Stochastic set differential equation
On Cantrell-Rosalsky's strong laws of large numbers
Keywords: 60B12; 60F15; 60B11; 60D05;
Data depth, random simplices and multivariate dispersion
Keywords: 60D05; 62G05; 62H12