Found 46 Documents (Results 1–46)
Poisson hyperplane tessellations. (English) Zbl 07819842
Springer Monographs in Mathematics. Cham: Springer (ISBN 978-3-031-54103-2/hbk; 978-3-031-54106-3/pbk; 978-3-031-54104-9/ebook). xi, 550 p. (2024).
Reviewer: Piotr Pokora (Kraków)
Exponential inequalities for the supremum of some counting processes and their square martingales. (English. French summary) Zbl 1495.60008
Does a central limit theorem hold for the \(k\)-skeleton of Poisson hyperplanes in hyperbolic space? (English) Zbl 1478.60042
Decorrelation of a class of Gibbs particle processes and asymptotic properties of \(U\)-statistics. (English) Zbl 1457.60066
Limit theory for geometric statistics of point processes having fast decay of correlations. (English) Zbl 1467.60021
On normal approximations for the two-sample problem on multidimensional tori. (English) Zbl 1393.60027
On high-frequency limits of \(U\)-statistics in Besov spaces over compact manifolds. (English) Zbl 1392.60006
Reviewer: Ludwig Paditz (Dresden)
Interaction processes for unions of facets, the asymptotic behaviour with increasing intensity. (English) Zbl 1370.60015
Functional Poisson approximation in Kantorovich-Rubinstein distance with applications to \(U\)-statistics and stochastic geometry. (English) Zbl 1347.60027
Reviewer: Martin Wendler (Greifswald)
A four moments theorem for gamma limits on a Poisson chaos. (English) Zbl 1342.60028
ALEA, Lat. Am. J. Probab. Math. Stat. 13, No. 1, 163-192 (2016); erratum ibid. 14, No. 1, 245-247 (2017).
Clustering comparison of point processes, with applications to random geometric models. (English) Zbl 1328.60122
Schmidt, Volker (ed.), Stochastic geometry, spatial statistics and random fields. Models and algorithms. Selected papers based on the presentations at the summer academy on stochastic analysis, modelling and simulation of complex structures, Söllerhaus, Hirschegg, Germany, September 11–24, 2011. Cham: Springer (ISBN 978-3-319-10063-0/pbk; 978-3-319-10064-7/ebook). Lecture Notes in Mathematics 2120, 31-71 (2015).
Gaussian limits of empirical multiparameter \(K\)-functions of homogeneous Poisson processes and tests for complete spatial randomness. (English) Zbl 1319.60068
Functionals of spatial point process having density with respect to the Poisson process. (English) Zbl 1316.60069
Wavelet thresholding estimation in a Poissonian interactions model with application to genomic data. (English) Zbl 1349.62121
Fine Gaussian fluctuations on the Poisson space. II: Rescaled kernels, marked processes and geometric \(U\)-statistics. (English) Zbl 1294.60082
Fine Gaussian fluctuations on the Poisson space. I: Contractions, cumulants and geometric random graphs. (English) Zbl 1295.60015
Reviewer: Nicolas Privault (Singapore)
The scaling limit of Poisson-driven order statistics with applications in geometric probability. (English) Zbl 1262.60031
Reviewer: Ken-ichi Yoshihara (Yokohama)
Central limit theorems for motion-invariant Poisson hyperplanes in expanding convex bodies. (English) Zbl 1470.60049
Caristi, Giuseppe (ed.), Proceedings of the VIIth international conference in “Stochastic geometry, convex bodies, empirical measures and applications to mechanics and engineering train-transport”, Messina, Italy, April 22–24, 2009. Palermo: Circolo Matematico di Palermo. Suppl. Rend. Circ. Mat. Palermo (2) 81, 187-212 (2009).
Reversed hazard rate order of equilibrium distributions and a related aging notion. (English) Zbl 1309.62032
\(U\)-max-statistics. (English) Zbl 1153.62046
Reviewer: Neville Weber (Sydney)
On Sevast’yanov’s theorem. (English) Zbl 1110.60013
MSC:
60F05
Exponential inequalities, with constants, for U-statistics of order two. (English) Zbl 1036.60015
Giné, Evariste (ed.) et al., Stochastic inequalities and applications. Selected papers presented at the Euroconference on “Stochastic inequalities and their applications”, Barcelona, June 18–22, 2002. Basel: Birkhäuser (ISBN 3-7643-2197-0/hbk). Prog. Probab. 56, 55-69 (2003).
Reviewer: Neville Weber (Sydney)
Poisson limits for \(U\)-statistics. (English) Zbl 1059.60063
Reviewer: Zuzana Prášková (Praha)
Trend analysis of multiple counting processes. (English) Zbl 0908.62086
Jewell, Nicholas P. (ed.) et al., Lifetime data: models in reliability and survival analysis. International research conference, Harvard Univ., Cambridge, MA, USA, June 15–17, 1994. Dordrecht: Kluwer Academic Publishers. 149-156 (1996).
Asymptotic distributions for weighted \(U\)-statistics. (English) Zbl 0813.62014
Reviewer: K.-i.Yoshihara (Yokohama)
Random permanents and symmetric statistics. (English) Zbl 0813.60025
Reviewer: L.Paditz (Dresden)
Limit theorems on large deviations. (Russian) Zbl 0810.60024
Gamkrelidze, R. V. (ed.) et al., Probability theory - 6. Limit theorems in probability theory. Moskva: Vsesoyuznyj Institut Nauchnoj i Tekhnicheskoj Informatsii, Itogi Nauki Tekh., Ser. Sovrem. Probl. Mat., Fundam. Napravleniya. 81, 219-312 (1991).
Reviewer: A.M.Zapała (Lublin)
A circle covering problem and DNA breakage. (English) Zbl 0698.60010
Reviewer: V.Schmidt
MSC:
60D05
On a connection between Davidson’s entropy and a test of randomness for point and line process in the plane. (English) Zbl 0669.62079
Asymptotic Poisson distributions with applications to statistical analysis of graphs. (English) Zbl 0662.62023
Reviewer: O.Frank
Convergence of distributions of U-statistics to Poisson’s law. (Russian) Zbl 0626.62022
Reviewer: V.Malinovskij
The functional limit theorem of Poisson type for a class of reduced “U”-statistics. (Russian) Zbl 0633.60053
Probabilistic processes and their applications, Interuniv. Collect., Moskva 1985, 121-127 (1985).
Reviewer: A.Földes
MSC:
60F17
On the convergence of counting processes connected with U-statistics. (Russian) Zbl 0576.60039
Reviewer: Yu.M.Kabanov
A robust test for multiple comparisons of correlation coefficients. (English) Zbl 0533.62060
Reviewer: J.Antoch
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