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60D05 Geometric probability, stochastic geometry, random sets (43 articles)

• Hálová, Eliška: Problém čtyř bodů. (Czech) [Four Point Problem]. Pokroky matematiky, fyziky a astronomie, vol. 68 (2023), issue 3, pp. 137-155
• Petráková, Martina: A note on the existence of Gibbs marked point processes with applications in stochastic geometry. (English). Kybernetika, vol. 59 (2023), issue 1, pp. 130-159
• Flimmel, Daniela; Beneš, Viktor: Gaussian approximation for functionals of Gibbs particle processes. (English). Kybernetika, vol. 54 (2018), issue 4, pp. 765-777
• Vatne, Jon Eivind: Simplices rarely contain their circumcenter in high dimensions. (English). Applications of Mathematics, vol. 62 (2017), issue 3, pp. 213-223
• Večeřa, Jakub: Central limit theorem for Gibbsian U-statistics of facet processes. (English). Applications of Mathematics, vol. 61 (2016), issue 4, pp. 423-441
• Jeulin, Dominique: Iterated Boolean random varieties and application to fracture statistics models. (English). Applications of Mathematics, vol. 61 (2016), issue 4, pp. 363-386
• Helisová, Kateřina; Staněk, Jakub: Quermass-interaction process with convex compact grains. (English). Applications of Mathematics, vol. 61 (2016), issue 4, pp. 463-487
• Beneš, Viktor; Zikmundová, Markéta: Functionals of spatial point processes having a density with respect to the Poisson process. (English). Kybernetika, vol. 50 (2014), issue 6, pp. 896-913
• Honzl, Ondřej; Rataj, Jan: Almost sure asymptotic behaviour of the $r$-neighbourhood surface area of Brownian paths. (English). Czechoslovak Mathematical Journal, vol. 62 (2012), issue 1, pp. 67-75
• Hykšová, Magdalena: 6.1 Theory of geometric probability. Introduction. (English). In: Hykšová, Magdalena: Filosofická pojetí pravděpodobnosti v pracích českých myslitelů. (English). Praha: Matfyzpress, vydavatelství Matematicko-fyzikální fakulty Univerzity Karlovy v Praze, 2011. ISBN 978-80-7378-192-7, pp. 176-180
• Hykšová, Magdalena: 6.2 Počátky teorie geometrické pravděpodobnosti. (Czech) [6.2 Beginnings of the theory of geometric probability]. In: Hykšová, Magdalena: Filosofická pojetí pravděpodobnosti v pracích českých myslitelů. (Czech). Praha: Matfyzpress, vydavatelství Matematicko-fyzikální fakulty Univerzity Karlovy v Praze, 2011. ISBN 978-80-7378-192-7, pp. 181-190
• Vencálek, Ondřej: Concept of Data Depth and Its Applications. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 50 (2011), issue 2, pp. 111-119
• Thäle, Christoph: The distribution of the number of nodes in the relative interior of the typical I-segment in homogeneous planar anisotropic STIT Tessellations. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 51 (2010), issue 3, pp. 503-512
• Hlubinka, Daniel; Kotík, Lukáš; Vencálek, Ondřej: Weighted halfspace depth. (English). Kybernetika, vol. 46 (2010), issue 1, pp. 125-148
• Hoffmann, Lars Michael: Estimating an even spherical measure from its sine transform. (English). Applications of Mathematics, vol. 54 (2009), issue 1, pp. 67-78
• Miao, Yu: Moderate deviation principles for sums of i.i.d. random compact sets. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 50 (2009), issue 1, pp. 103-111
• Janáček, Jiří: On calculation of zeta function of integral matrix. (English). Mathematica Bohemica, vol. 134 (2009), issue 1, pp. 49-58
• Mrkvička, Tomáš; Rataj, Jan: On estimation of intrinsic volume densities of stationary random closed sets via parallel sets in the plane. (English). Kybernetika, vol. 45 (2009), issue 6, pp. 931-945
• Mrkvička, Tomáš: On testing of general random closed set model hypothesis. (English). Kybernetika, vol. 45 (2009), issue 2, pp. 293-308
• Frcalová, Blažena; Beneš, Viktor: Spatio-temporal modelling of a Cox point process sampled by a curve, filtering and Inference. (English). Kybernetika, vol. 45 (2009), issue 6, pp. 912-930
• Mrkvička, Tomáš: Estimation of intersection intensity in a Poisson process of segments. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 48 (2007), issue 1, pp. 93-106
• Černý, Rostislav: Laslett’s transform for the Boolean model in $\Bbb R^d$. (English). Kybernetika, vol. 42 (2006), issue 5, pp. 569-584
• Hlubinka, Daniel: Shape factor extremes for prolate spheroids. (English). Kybernetika, vol. 42 (2006), issue 5, pp. 557-568
• Mrkvička, Tomáš: Estimation variances for parameterized marked Poisson processes and for parameterized Poisson segment processes. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 45 (2004), issue 1, pp. 109-117
• Rataj, J.: On set covariance and three-point test sets. (English). Czechoslovak Mathematical Journal, vol. 54 (2004), issue 1, pp. 205-214
• Pawlas, Zbyněk: Central limit theorem for random measures generated by stationary processes of compact sets. (English). Kybernetika, vol. 39 (2003), issue 6, pp. [719]-729
• Saxl, Ivan; Ponížil, Petr: Bernoulli cluster field: Voronoi tessellations. (English). Applications of Mathematics, vol. 47 (2002), issue 2, pp. 157-167
• Beneš, Viktor; Gokhale, Arun M.: Planar anisotropy revisited. (English). Kybernetika, vol. 36 (2000), issue 2, pp. [149]-164
• Horálek, Vratislav: Stereology of dihedral angles. (English). Applications of Mathematics, vol. 45 (2000), issue 6, pp. 411-417
• Rataj, Jan; Saxl, Ivan: Boolean cluster models: mean cluster dilations and spherical contact distances. (English). Mathematica Bohemica, vol. 122 (1997), issue 1, pp. 21-36
• Beneš, Viktor; Krejčíř, Pavel: Decomposition in stereological unfolding problems. (English). Kybernetika, vol. 33 (1997), issue 3, pp. 245-258
• Chadeuf, Joël; Beneš, Viktor: On some estimation variances in spatial statistics. (English). Kybernetika, vol. 30 (1994), issue 3, pp. 245-262
• Rataj, Jan; Saxl, Ivan; Pelikán, Karol: Convergence of randomly oscillating point patterns to the Poisson point process. (English). Applications of Mathematics, vol. 38 (1993), issue 3, pp. 221-235
• Papageorgiou, Nikolaos S.: Convergence theorems for set-valued conditional expectations. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 34 (1993), issue 1, pp. 97-104
• Straka, František; Štěpán, Josef: Random sets and their asymptotic measure. (English). Mathematica Slovaca, vol. 43 (1993), issue 2, pp. 207-219
• Kôzaki, Masanori: On mean value theorems for small geodesic spheres in Riemannian manifolds. (English). Czechoslovak Mathematical Journal, vol. 42 (1992), issue 3, pp. 519-547
• Horálek, Vratislav: Stereology of grain boundary precipitates. (English). Aplikace matematiky, vol. 34 (1989), issue 4, pp. 303-317
• Straka, František: Random sets and their intersections [Abstract of thesis]. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 29 (1988), issue 1, pp. 202
• Horálek, Vratislav: On geometric-optical projection of spatial particle size distribution. (English). Kybernetika, vol. 21 (1985), issue 2, pp. 85-95
• Horálek, Vratislav: On the decomposition of particle size distribution in the extraction replica method. (English). Aplikace matematiky, vol. 26 (1981), issue 6, pp. 401,402-417
• Taylor, S. J.: Pravidelnost náhodnosti. (Czech) [The regularity of randomness]. Pokroky matematiky, fyziky a astronomie, vol. 25 (1980), issue 1, pp. 28-34
• Jelínek, Vavřinec: O přesnosti hodnot nabytých průkladem praktických tabulek mathematických. (Czech) [On the exactness of values gaind by interpolation in mathematical tables]. Časopis pro pěstování mathematiky a fysiky, vol. 21 (1892), issue 1, pp. 31-39
• Pánek, Augustin: Počet pravděpodobnosti v geometrii. (Czech) [The probability calculus in geometry]. Časopis pro pěstování mathematiky a fysiky, vol. 11 (1882), issue 2, pp. 121-122