Zhang, Haibin; Zhang, Yong; Ding, Xue Limit laws for the maximum interpoint distance under a 1-dependent assumption. (English) Zbl 07975430 J. Math. Res. Appl. 45, No. 1, 105-124 (2025). MSC: 60F05 62H10 × Cite Format Result Cite Review PDF Full Text: DOI
Heiny, Johannes; Kleemann, Carolin Maximum interpoint distance of high-dimensional random vectors. (English) Zbl 07938578 Bernoulli 31, No. 1, 537-560 (2025). MSC: 60F10 60G55 62E17 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Zhang, Haibin; Zhang, Yong; Bai, Yansong Limiting distributions of largest entries of sample co-variance matrices from 1-dependent normal populations. (English) Zbl 07940611 ALEA, Lat. Am. J. Probab. Math. Stat. 21, No. 2, 1309-1331 (2024). MSC: 62H10 62E20 × Cite Format Result Cite Review PDF Full Text: DOI
Otto, Moritz Extremal behavior of large cells in the Poisson hyperplane mosaic. (English) Zbl 1528.60049 Electron. J. Probab. 28, Paper No. 162, 29 p. (2023). MSC: 60G55 60D05 60F17 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Pianoforte, Federico; Schulte, Matthias Poisson approximation with applications to stochastic geometry. (English) Zbl 1483.60040 Electron. J. Probab. 26, Paper No. 149, 36 p. (2021). MSC: 60F05 60D05 60G70 60G55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mukhopadhyay, Nitis On rereading Stein’s lemma: its intrinsic connection with Cramér-Rao identity and some new identities. (English) Zbl 1474.62022 Methodol. Comput. Appl. Probab. 23, No. 1, 355-367 (2021). MSC: 62D05 62J07 × Cite Format Result Cite Review PDF Full Text: DOI
Ghosh, Anish; Sølund Kirsebom, Maxim; Roy, Parthanil Continued fractions, the Chen-Stein method and extreme value theory. (English) Zbl 1459.11162 Ergodic Theory Dyn. Syst. 41, No. 2, 461-470 (2021). Reviewer: Symon Serbenyuk (Kyïv) MSC: 11K50 60G70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lyon, Merritt R.; Mahmoud, Hosam M. Trees grown under young-age preferential attachment. (English) Zbl 1453.05022 J. Appl. Probab. 57, No. 3, 911-927 (2020). MSC: 05C05 05C80 05C82 90B15 60C05 60F25 60F05 11B73 × Cite Format Result Cite Review PDF Full Text: DOI
Fan, Jianqing; Jiang, Tiefeng Largest entries of sample correlation matrices from equi-correlated normal populations. (English) Zbl 1435.62077 Ann. Probab. 47, No. 5, 3321-3374 (2019). Reviewer: Kévin Allan Sales Rodrigues (São Paulo) MSC: 62E20 62H10 62H15 60F05 62G32 × Cite Format Result Cite Review PDF Full Text: DOI Euclid
Angel, Omer; van der Hofstad, Remco; Holmgren, Cecilia Limit laws for self-loops and multiple edges in the configuration model. (English. French summary) Zbl 1466.60194 Ann. Inst. Henri Poincaré, Probab. Stat. 55, No. 3, 1509-1530 (2019). MSC: 60K35 60K37 82B43 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Petri, Bram; Thäle, Christoph Poisson approximation of the length spectrum of random surfaces. (English) Zbl 1404.60026 Indiana Univ. Math. J. 67, No. 3, 1115-1141 (2018). MSC: 60D05 57M50 60C05 60F05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Torrisi, Giovanni Luca Probability approximation of point processes with Papangelou conditional intensity. (English) Zbl 1407.60072 Bernoulli 23, No. 4A, 2210-2256 (2017). MSC: 60G55 60F05 60H05 × Cite Format Result Cite Review PDF Full Text: DOI Euclid
Torrisi, Giovanni Luca Poisson approximation of point processes with stochastic intensity, and application to nonlinear Hawkes processes. (English. French summary) Zbl 1367.60020 Ann. Inst. Henri Poincaré, Probab. Stat. 53, No. 2, 679-700 (2017). MSC: 60F05 60G55 60H05 60H07 60K25 × Cite Format Result Cite Review PDF Full Text: DOI Euclid
Ross, Sheldon M. Improved Chen-Stein bounds on the probability of a union. (English) Zbl 1358.60040 J. Appl. Probab. 53, No. 4, 1265-1270 (2016). MSC: 60E15 60E99 × Cite Format Result Cite Review PDF Full Text: DOI Euclid
Ziram, Ferhat; Cellier, Dominique; Charlot, François Statistical analysis of the number of self-overlapping leftmost repeats in an homogeneous stationary Markov chain on finite states. (English) Zbl 1349.62377 Commun. Stat., Theory Methods 45, No. 20, 6087-6101 (2016). MSC: 62M02 62J10 62P10 × Cite Format Result Cite Review PDF Full Text: DOI
Mikhaĭlov, V. G. Poisson approximation for the distribution of the frequency of a given pattern in the outcome sequence of the MCV-generator. (Russian. English summary) Zbl 1472.60047 Mat. Vopr. Kriptografii 5, No. 4, 63-71 (2014). MSC: 60F05 65C10 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Sason, Igal Improved lower bounds on the total variation distance for the Poisson approximation. (English) Zbl 1287.60035 Stat. Probab. Lett. 83, No. 10, 2422-2431 (2013). MSC: 60F05 60G50 60E15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Schulte, Matthias; Thäle, Christoph The scaling limit of Poisson-driven order statistics with applications in geometric probability. (English) Zbl 1262.60031 Stochastic Processes Appl. 122, No. 12, 4096-4120 (2012). Reviewer: Ken-ichi Yoshihara (Yokohama) MSC: 60F17 60D05 62G32 60G55 60H07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Arias-Castro, Ery Finite size percolation in regular trees. (English) Zbl 1216.60063 Stat. Probab. Lett. 81, No. 2, 302-309 (2011). Reviewer: Anatoliy Pogorui (Zhytomyr) MSC: 60K35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Vergne, Nicolas; Abadi, Miguel Poisson approximation for search of rare words in DNA sequences. (English) Zbl 1162.60312 ALEA, Lat. Am. J. Probab. Math. Stat. 4, 223-244 (2008). MSC: 60F05 60G10 92D20 × Cite Format Result Cite Review PDF Full Text: arXiv
Abadi, Miguel Poisson approximations via Chen-Stein for non-Markov processes. (English) Zbl 1149.60014 Sidoravicius, Vladas (ed.) et al., In and out of equilibrium 2. Papers celebrating the 10th edition of the Brazilian school of probability (EBP), Rio de Janiero, Brazil, July 30 to August 4, 2006. Basel: Birkhäuser (ISBN 978-3-7643-8785-3/hbk). Progress in Probability 60, 1-19 (2008). MSC: 60F05 60E05 62E17 62E20 60G10 60G55 37A50 × Cite Format Result Cite Review PDF
Nakata, Toshio A Poisson approximation for an occupancy problem with collisions. (English) Zbl 1143.60009 J. Appl. Probab. 45, No. 2, 430-439 (2008). MSC: 60C05 × Cite Format Result Cite Review PDF Full Text: DOI
Hart, Sergiu; Rinott, Yosef; Weiss, Benjamin Evolutionarily stable strategies of random games, and the vertices of random polygons. (English) Zbl 1132.91352 Ann. Appl. Probab. 18, No. 1, 259-287 (2008). MSC: 91A22 60D05 60F99 52A22 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Shojtov, A. M. Discrete limit distributions of the number of the same structure chains in the sequence of equiprobable tests. (Russian) Zbl 1199.60059 Obozr. Prikl. Prom. Mat. 14, No. 3, 474-484 (2007). MSC: 60F05 × Cite Format Result Cite Review PDF
Durret, Richard; Schmidt, Deena Waiting for regulatory sequences to appear. (English) Zbl 1128.92024 Ann. Appl. Probab. 17, No. 1, 1-32 (2007). MSC: 92D15 60F05 60J20 92D10 92D20 92-08 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chen, Chingfer; Karlin, Samuel \(r\)-scan statistics of a Poisson process with events transformed by duplications, deletions, and displacements. (English) Zbl 1142.60037 Adv. Appl. Probab. 39, No. 3, 799-825 (2007). Reviewer: Daniel Hlubinka (Praha) MSC: 60G55 60F05 60G70 × Cite Format Result Cite Review PDF Full Text: DOI
Hansen, Niels Richard Local alignment of Markov chains. (English) Zbl 1113.60054 Ann. Appl. Probab. 16, No. 3, 1262-1296 (2006). Reviewer: Michael Falk (Würzburg) MSC: 60G70 60F10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mikhajlov, V. G. On asymptotic properties of the distribution of the number of pairs of \(H\)-connected tuples. (English. Russian original) Zbl 1046.60007 Discrete Math. Appl. 12, No. 4, 393-400 (2002); translation from Diskretn. Mat. 14, No. 3, 122-129 (2002). MSC: 60C05 × Cite Format Result Cite Review PDF
Mikhajlov, V. G. Estimate of the accuracy of the compound Poisson approximation for the distribution of the number of matching patterns. (English. Russian original) Zbl 1040.60007 Theory Probab. Appl. 46, No. 4, 667-675 (2001); translation from Teor. Veroyatn. Primen. 46, No. 4, 713-723 (2001). Reviewer: Vladimir Vatutin (Moskva) MSC: 60C05 60K30 × Cite Format Result Cite Review PDF Full Text: DOI
Karlin, Samuel; Chen, Chingfer \(r\)-scan statistics of a marker array in multiple sequences derived from a common progenitor. (English) Zbl 1084.92506 Ann. Appl. Probab. 10, No. 3, 709-725 (2000). MSC: 92D15 92C40 62P10 60G35 62E20 × Cite Format Result Cite Review PDF Full Text: DOI Euclid
Koutras, M. V.; Papadopoulos, G. K.; Papastavridis, S. G. A reliability bound for 2-dimensional consecutive \(k\)-out-of-\(n:F\) systems. (English) Zbl 0944.90017 Nonlinear Anal., Theory Methods Appl. 30, No. 6, 3345-3348 (1997). Reviewer: L.Paditz (Dresden) MSC: 90B25 60K10 × Cite Format Result Cite Review PDF Full Text: DOI
Neuhauser, Claudia A phase transition for the distribution of matching blocks. (English) Zbl 0865.60027 Comb. Probab. Comput. 5, No. 2, 139-159 (1996). MSC: 60F99 × Cite Format Result Cite Review PDF Full Text: DOI
Goovaerts, M. J.; Dhaene, J. The compound Poisson approximation for a portfolio of dependent risks. (English) Zbl 0853.62079 Insur. Math. Econ. 18, No. 1, 81-85 (1996). MSC: 62P05 91B30 × Cite Format Result Cite Review PDF Full Text: DOI Link
Kounias, Stratis Poisson approximation and Bonferroni bounds for the probability of the union of events. (English) Zbl 0888.62015 Int. J. Math. Stat. Sci. 4, No. 1, 43-52 (1995). MSC: 62E99 60E15 × Cite Format Result Cite Review PDF
Mikhajlov, V. G. Explicit estimates in limit theorems for sums of random indicators. (Russian) Zbl 0841.60014 Obozr. Prikl. Prom. Mat. 1, No. 4, 580-617 (1994). Reviewer: N.G.Gamkrelidze (Moskva) MSC: 60F05 × Cite Format Result Cite Review PDF
Waterman, Michael S.; Vingron, Martin Rapid and accurate estimates of statistical significance for sequence data base searches. (English) Zbl 0797.92021 Proc. Natl. Acad. Sci. USA 91, No. 11, 4625-4628 (1994). MSC: 92D20 62P10 × Cite Format Result Cite Review PDF Full Text: DOI Link
Steele, J. Michael Le Cam’s inequality and Poisson approximations. (English) Zbl 0802.60019 Am. Math. Mon. 101, No. 1, 48-54 (1994). Reviewer: J.M.Steele (Philadelphia) MSC: 60E15 60E05 × Cite Format Result Cite Review PDF Full Text: DOI Link
Dembo, Amir; Karlin, Samuel Poisson approximations for \(r\)-scan processes. (English) Zbl 0761.60018 Ann. Appl. Probab. 2, No. 2, 329-357 (1992). Reviewer: A.V.Bulinskij (Moskva) MSC: 60F05 62G20 60G50 × Cite Format Result Cite Review PDF Full Text: DOI
Goldstein, Larry Poisson approximation and DNA sequence matching. (English) Zbl 0731.92019 Commun. Stat., Theory Methods 19, No. 11, 4167-4179 (1990). MSC: 92D20 60F05 92C40 62E20 × Cite Format Result Cite Review PDF Full Text: DOI
Arratia, R.; Gordon, L.; Waterman, M. S. The Erdős-Rényi law in distribution, for coin tossing and sequence matching. (English) Zbl 0712.92016 Ann. Stat. 18, No. 2, 539-570 (1990). Reviewer: J.Steinebach MSC: 92D20 62E17 60F10 60C05 60F99 × Cite Format Result Cite Review PDF Full Text: DOI