Gusakova, Anna; Heiny, Johannes; Thäle, Christoph The volume of random simplices from elliptical distributions in high dimension. (English) Zbl 1528.52002 Stochastic Processes Appl. 164, 357-382 (2023). Reviewer: Viktor Ohanyan (Erevan) MSC: 52A22 52A23 60F05 PDFBibTeX XMLCite \textit{A. Gusakova} et al., Stochastic Processes Appl. 164, 357--382 (2023; Zbl 1528.52002) Full Text: DOI arXiv
Richey, Jacob; Sarkar, Amites Intersections of random sets. (English) Zbl 1490.60034 J. Appl. Probab. 59, No. 1, 131-151 (2022). Reviewer: Viktor Ohanyan (Erevan) MSC: 60D05 53C65 52A22 60G55 PDFBibTeX XMLCite \textit{J. Richey} and \textit{A. Sarkar}, J. Appl. Probab. 59, No. 1, 131--151 (2022; Zbl 1490.60034) Full Text: DOI arXiv
Soh, Yong Sheng; Chandrasekaran, Venkat Fitting tractable convex sets to support function evaluations. (English) Zbl 1482.90157 Discrete Comput. Geom. 66, No. 2, 510-551 (2021). Reviewer: Sorin-Mihai Grad (Paris) MSC: 90C25 52A20 62G08 PDFBibTeX XMLCite \textit{Y. S. Soh} and \textit{V. Chandrasekaran}, Discrete Comput. Geom. 66, No. 2, 510--551 (2021; Zbl 1482.90157) Full Text: DOI arXiv Link
Edelsbrunner, H.; Nikitenko, A. Weighted Poisson-Delaunay mosaics. (English) Zbl 1432.60023 Theory Probab. Appl. 64, No. 4, 595-614 (2020) and Teor. Veroyatn. Primen. 64, No. 4, 746-770 (2019). MSC: 60D05 52C22 60G55 PDFBibTeX XMLCite \textit{H. Edelsbrunner} and \textit{A. Nikitenko}, Theory Probab. Appl. 64, No. 4, 595--614 (2020; Zbl 1432.60023) Full Text: DOI arXiv
Cai, T. Tony; Guntuboyina, Adityanand; Wei, Yuting Adaptive estimation of planar convex sets. (English) Zbl 1459.62235 Ann. Stat. 46, No. 3, 1018-1049 (2018). MSC: 62R20 62G07 52A20 PDFBibTeX XMLCite \textit{T. T. Cai} et al., Ann. Stat. 46, No. 3, 1018--1049 (2018; Zbl 1459.62235) Full Text: DOI arXiv Euclid
Fiebig, Ulf-Rainer; Strokorb, Kirstin; Schlather, Martin The realization problem for tail correlation functions. (English) Zbl 1369.60036 Extremes 20, No. 1, 121-168 (2017). MSC: 60G70 60G52 52B12 52B05 PDFBibTeX XMLCite \textit{U.-R. Fiebig} et al., Extremes 20, No. 1, 121--168 (2017; Zbl 1369.60036) Full Text: DOI arXiv Link
Le Caër, G. Circumspheres of sets of \(n + 1\) random points in the \(d\)-dimensional Euclidean unit ball \((1 \leq n \leq d)\). (English) Zbl 1364.60020 J. Math. Phys. 58, No. 5, 053301, 29 p. (2017). MSC: 60D05 52A22 60G55 62M30 65C05 PDFBibTeX XMLCite \textit{G. Le Caër}, J. Math. Phys. 58, No. 5, 053301, 29 p. (2017; Zbl 1364.60020) Full Text: DOI arXiv
Hug, Daniel; Last, Günter; Schulte, Matthias Second-order properties and central limit theorems for geometric functionals of Boolean models. (English) Zbl 1348.60013 Ann. Appl. Probab. 26, No. 1, 73-135 (2016). Reviewer: Weiping Li (Stillwater) MSC: 60D05 60F05 60G55 60H07 52A22 PDFBibTeX XMLCite \textit{D. Hug} et al., Ann. Appl. Probab. 26, No. 1, 73--135 (2016; Zbl 1348.60013) Full Text: DOI arXiv Euclid
Terán, Pedro; López-Díaz, Miguel Strong consistency and rates of convergence for a random estimator of a fuzzy set. (English) Zbl 1506.62176 Comput. Stat. Data Anal. 77, 130-145 (2014). MSC: 62-08 62G07 62G20 62G86 60D05 60F05 52A22 PDFBibTeX XMLCite \textit{P. Terán} and \textit{M. López-Díaz}, Comput. Stat. Data Anal. 77, 130--145 (2014; Zbl 1506.62176) Full Text: DOI
Hug, Daniel; Last, Günter; Pawlas, Zbynok; Weil, Wolfgang Statistics for Poisson models of overlapping spheres. (English) Zbl 1319.60014 Adv. Appl. Probab. 46, No. 4, 937-962 (2014). MSC: 60D05 60G57 52A21 60G55 52A22 52A20 53C65 46B20 62G05 PDFBibTeX XMLCite \textit{D. Hug} et al., Adv. Appl. Probab. 46, No. 4, 937--962 (2014; Zbl 1319.60014) Full Text: DOI arXiv Euclid
Guntuboyina, Adityanand Optimal rates of convergence for convex set estimation from support functions. (English) Zbl 1246.62085 Ann. Stat. 40, No. 1, 385-411 (2012). MSC: 62G05 62G20 52A20 PDFBibTeX XMLCite \textit{A. Guntuboyina}, Ann. Stat. 40, No. 1, 385--411 (2012; Zbl 1246.62085) Full Text: DOI arXiv Euclid
Nordman, Daniel J.; Lahiri, Soumendra N. Bias expansion of spatial statistics and approximation of differenced lattice point counts. (English) Zbl 1307.62143 Proc. Indian Acad. Sci., Math. Sci. 121, No. 2, 229-244 (2011). MSC: 62H11 52C05 11H06 62H12 62M30 PDFBibTeX XMLCite \textit{D. J. Nordman} and \textit{S. N. Lahiri}, Proc. Indian Acad. Sci., Math. Sci. 121, No. 2, 229--244 (2011; Zbl 1307.62143) Full Text: DOI
Bollobás, Béla; Janson, Svante; Riordan, Oliver On covering by translates of a set. (English) Zbl 1238.05049 Random Struct. Algorithms 38, No. 1-2, 33-67 (2011). Reviewer: Tadashi Sakuma (Yamagata) MSC: 05B40 05B45 52C17 PDFBibTeX XMLCite \textit{B. Bollobás} et al., Random Struct. Algorithms 38, No. 1--2, 33--67 (2011; Zbl 1238.05049) Full Text: DOI arXiv
Bürgisser, Peter; Cucker, Felipe; Lotz, Martin Coverage processes on spheres and condition numbers for linear programming. (English) Zbl 1205.60027 Ann. Probab. 38, No. 2, 570-604 (2010). Reviewer: Ilya S. Molchanov (Bern) MSC: 60D05 52A22 90C05 PDFBibTeX XMLCite \textit{P. Bürgisser} et al., Ann. Probab. 38, No. 2, 570--604 (2010; Zbl 1205.60027) Full Text: DOI arXiv
Donoho, David L.; Tanner, Jared Counting faces of randomly projected polytopes when the projection radically lowers dimension. (English) Zbl 1206.52010 J. Am. Math. Soc. 22, No. 1, 1-53 (2009). MSC: 52A22 52B05 62E20 94A12 94B35 94B70 PDFBibTeX XMLCite \textit{D. L. Donoho} and \textit{J. Tanner}, J. Am. Math. Soc. 22, No. 1, 1--53 (2009; Zbl 1206.52010) Full Text: DOI arXiv
Heveling, Matthias; Reitzner, Matthias Poisson-Voronoi approximation. (English) Zbl 1172.60003 Ann. Appl. Probab. 19, No. 2, 719-736 (2009). Reviewer: Viktor Oganyan (Erevan) MSC: 60D05 60G55 52A22 60C05 PDFBibTeX XMLCite \textit{M. Heveling} and \textit{M. Reitzner}, Ann. Appl. Probab. 19, No. 2, 719--736 (2009; Zbl 1172.60003) Full Text: DOI arXiv
Gardner, Richard J.; Kiderlen, Markus; Milanfar, Peyman Convergence of algorithms for reconstructing convex bodies and directional measures. (English) Zbl 1097.52503 Ann. Stat. 34, No. 3, 1331-1374 (2006). MSC: 52A20 62M30 65D15 52A21 60D05 60G10 PDFBibTeX XMLCite \textit{R. J. Gardner} et al., Ann. Stat. 34, No. 3, 1331--1374 (2006; Zbl 1097.52503) Full Text: DOI arXiv
Hug, Daniel; Last, Günter; Weil, Wolfgang Polynomial parallel volume, convexity and contact distributions of random sets. (English) Zbl 1099.60011 Probab. Theory Relat. Fields 135, No. 2, 169-200 (2006). Reviewer: Viktor Oganyan (Erevan) MSC: 60D05 52A38 28A75 52A22 53C65 PDFBibTeX XMLCite \textit{D. Hug} et al., Probab. Theory Relat. Fields 135, No. 2, 169--200 (2006; Zbl 1099.60011) Full Text: DOI
Reitzner, Matthias Random polytopes and the Efron-Stein jackknife inequality. (English) Zbl 1058.60010 Ann. Probab. 31, No. 4, 2136-2166 (2003). Reviewer: Malcolm Quine (Sydney) MSC: 60D05 52A22 60C05 60F15 PDFBibTeX XMLCite \textit{M. Reitzner}, Ann. Probab. 31, No. 4, 2136--2166 (2003; Zbl 1058.60010) Full Text: DOI Euclid
Goldman, André On a conjecture of D. G. Kendall concerning the planar Crofton cell and on its Brownian counterpart. (Sur une conjecture de D. G. Kendall concernant la cellule de Crofton du plan et sur sa contrepartie brownienne.) (French) Zbl 0936.60009 Ann. Probab. 26, No. 4, 1727-1750 (1998). MSC: 60D05 60J65 35P20 52A22 60F10 PDFBibTeX XMLCite \textit{A. Goldman}, Ann. Probab. 26, No. 4, 1727--1750 (1998; Zbl 0936.60009) Full Text: DOI
Goldman, André The spectrum of some Poisson mosaic processes in the plane and the convex hull of the Brownian bridge. (Le spectre de certaines mosaïques poisoniennes du plan et l’enveloppe convexe du pont brownien.) (French) Zbl 0858.35094 Probab. Theory Relat. Fields 105, No. 1, 57-83 (1996). Reviewer: B.Goldys (Kensington) MSC: 35P15 60J65 35P20 52A22 60D05 PDFBibTeX XMLCite \textit{A. Goldman}, Probab. Theory Relat. Fields 105, No. 1, 57--83 (1996; Zbl 0858.35094) Full Text: DOI
Karunamuni, R. J. A new smoothness quantification in kernel density estimation. (English) Zbl 0729.62032 J. Stat. Plann. Inference 27, No. 3, 361-373 (1991). Reviewer: W.Stute (Gießen) MSC: 62G07 52C10 62G20 PDFBibTeX XMLCite \textit{R. J. Karunamuni}, J. Stat. Plann. Inference 27, No. 3, 361--373 (1991; Zbl 0729.62032) Full Text: DOI
Mecke, K. R.; Wagner, H. Euler characteristic and related measures for random geometric sets. (English) Zbl 0943.82541 J. Stat. Phys. 64, No. 3-4, 843-850 (1991). MSC: 82B43 52A22 PDFBibTeX XMLCite \textit{K. R. Mecke} and \textit{H. Wagner}, J. Stat. Phys. 64, No. 3--4, 843--850 (1991; Zbl 0943.82541) Full Text: DOI
Hall, Peter Random, nonuniform distribution of line segments on a circle. (English) Zbl 0558.60016 Stochastic Processes Appl. 18, 239-261 (1984). Reviewer: W.Weil MSC: 60D05 60F05 52C17 60G99 PDFBibTeX XMLCite \textit{P. Hall}, Stochastic Processes Appl. 18, 239--261 (1984; Zbl 0558.60016) Full Text: DOI