Aguilar, Enrique Guerra On the transient (T) condition for random walk in mixing environment. (English) Zbl 1457.60152 Ann. Probab. 47, No. 5, 3003-3054 (2019). Reviewer: Utkir A. Rozikov (Tashkent) MSC: 60K37 82D30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Bradley, Richard C. Introduction to strong mixing conditions. Vol. 3. (English) Zbl 1134.60004 Heber City, UT: Kendrick Press (ISBN 0-9740427-8-1/pbk; 0-9793183-3-5; 0-9740427-9-X/set/pbk; 0-9793183-4-3/set/hbk). xi, 597 p. (2007). Reviewer: Ken-ichi Yoshihara (Tokyo) MSC: 60-02 60F05 60G60 × Cite Format Result Cite Review PDF
Bradley, Richard C. Introduction to strong mixing conditions. Vol. 1. (English) Zbl 1133.60001 Heber City, UT: Kendrick Press (ISBN 0-9740427-6-5/pbk; 0-9793183-1-9/hbk; 0-9740427-9-X/set/pbk; 0-9793183-4-3/set/hbk). xviii, 539 p. (2007). Reviewer: Ken-ichi Yoshihara (Tokyo) MSC: 60-02 60F05 × Cite Format Result Cite Review PDF
Camlong-Viot, Christine; Rodríguez-Póo, Juan M.; Vieu, Philippe Nonparametric and semiparametric estimation of additive models with both discrete and continuous variables under dependence. (English) Zbl 1271.62064 Sperlich, Stephan (ed.) et al., The art of semiparametrics. Papers based on the presentation at the conference the art of semiparametrics, Berlin, Germany, October 18–23, 2006. Heidelberg: Physica-Verlag (ISBN 3-7908-1700-7/pbk). Contributions to Statistics, 155-178 (2006). MSC: 62G05 62F10 × Cite Format Result Cite Review PDF Full Text: DOI Link
Bradley, Richard C. Basic properties of strong mixing conditions. A survey and some open questions. (English) Zbl 1189.60077 Probab. Surv. 2, 107-144 (2005). MSC: 60G10 60-02 × Cite Format Result Cite Review PDF Full Text: DOI arXiv EuDML OA License
Fernández, Begoña Fernández; González-Barrios, José M. Multidimensional dependency measures. (English) Zbl 1048.62056 J. Multivariate Anal. 89, No. 2, 351-370 (2004). MSC: 62H05 62H15 62H20 62G10 62H10 × Cite Format Result Cite Review PDF Full Text: DOI
Klokov, S. A. Asymptotic representations for distributions of sums of weakly dependent variables. (Russian) Zbl 0945.60013 Mat. Tr. 2, No. 2, 21-56 (1999). Reviewer: D.A.Korshunov (Novosibirsk) MSC: 60F05 × Cite Format Result Cite Review PDF
Bertini, Lorenzo; Cirillo, Emilio N. M.; Olivieri, Enzo Renormalization-group transformations under strong mixing conditions: Gibbsianness and convergence of renormalized interactions. (English) Zbl 0958.82017 J. Stat. Phys. 97, No. 5-6, 831-915 (1999). MSC: 82B28 82B20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chaudhary, Jawahar Lal On probability measures of dependence with mixing conditions. (English) Zbl 0921.60002 Math. Educ. 29, No. 1, 7-10 (1995). Reviewer: N.Curteanu (Iaşi) MSC: 60B10 60B12 × Cite Format Result Cite Review PDF
Vilar Fernández, J. A.; Vilar Fernández, J. M. Nonparametric inference of a smooth distribution function from irregular observations on time series. (English) Zbl 0839.62047 Vilaplana, J. Pérez (ed.) et al., Recent advances in statistics and probability. Proceedings of the 4th international meeting of statistics in the Basque Country, San Sebastián, Spain, 4-7 August, 1992. Utrecht: VSP. 317-331 (1994). MSC: 62G07 62M10 62G20 × Cite Format Result Cite Review PDF
Tran, Lanh Tat The \(L_ 1\) complete convergence of recursive kernel density estimators under weak dependence. (English) Zbl 0857.62035 Matsusita, K. (ed.) et al., Statistical sciences and data analysis. Proceedings of the third Pacific Area statistical conference, Makuhari, Japan, December 11-13, 1991. Utrecht: VSP. 427-439 (1993). MSC: 62G07 62G20 62M10 × Cite Format Result Cite Review PDF
Gortchakov, A. B. Limit theorems for decomposable statistics of dependent random variables. (English) Zbl 0810.60018 Kolchin, V. F. (ed.) et al., Probabilistic methods in discrete mathematics. Proceedings of the third Petrozavodsk conference. Petrozavodsk (Russia), May 11-16, 1992. Moskva: TVP. Prog. Pure & Appl. Discret. Math. 1, 200-211 (1993). MSC: 60F05 × Cite Format Result Cite Review PDF
Gortchakov, A. B. Limit theorems for \(U\)-statistics of dependent random variables. (English) Zbl 0810.60032 Kolchin, V. F. (ed.) et al., Probabilistic methods in discrete mathematics. Proceedings of the third Petrozavodsk conference. Petrozavodsk (Russia), May 11-16, 1992. Moskva: TVP. Prog. Pure & Appl. Discret. Math. 1, 186-199 (1993). MSC: 60F15 × Cite Format Result Cite Review PDF
Rieders, Eric The size of the averages of strongly mixing random variables. (English) Zbl 0779.60027 Stat. Probab. Lett. 18, No. 1, 57-64 (1993). MSC: 60F15 × Cite Format Result Cite Review PDF Full Text: DOI
Leadbetter, M. R.; Rootzén, Holger On central limit theory for families of strongly mixing additive random functions. (English) Zbl 0783.60027 Cambanis, Stamatis (ed.) et al., Stochastic processes: a festschrift in honour of Gopinath Kallianpur. New York: Springer-Verlag. 211-223 (1993). MSC: 60F05 × Cite Format Result Cite Review PDF
Veretennikov, A. Yu. On asymptotic properties of stationary processes: large deviations and exponential mixing. (English) Zbl 0817.60024 Shiryaev, A. N. (ed.) et al., Probability theory and mathematical statistics. Proceedings of the 6th USSR-Japan symposium, Kiev, USSR, 5-10 August, 1991. Singapore: World Scientific. 403-413 (1992). MSC: 60F10 60G10 × Cite Format Result Cite Review PDF
Fan, Jianqing; Masry, Elias Multivariate regression estimation with errors-in-variables: Asymptotic normality for mixing processes. (English) Zbl 0769.62028 J. Multivariate Anal. 43, No. 2, 237-271 (1992). Reviewer: W.Stute (Gießen) MSC: 62G07 × Cite Format Result Cite Review PDF Full Text: DOI
Doukhan, Paul; Guyon, Xavier Mixing of linear spatial random fields. (Mélange pour des processus linéaires spatiaux.) (French) Zbl 0734.60054 C. R. Acad. Sci., Paris, Sér. I 313, No. 7, 465-470 (1991). MSC: 60G60 × Cite Format Result Cite Review PDF
Veretennikov, A. Yu.; Dobrovidov, A. V.; Pakshin, P. V. Ergodicity and mixing conditions of Markov processes in nonparametric filtering problems. (English. Russian original) Zbl 0753.93076 Autom. Remote Control 52, No. 4, 472-479 (1991); translation from Avtom. Telemekh. 1991, No. 4, 36-45 (1991). Reviewer: Jean Picard (Aubière) MSC: 93E11 60J20 × Cite Format Result Cite Review PDF
Pham Dinh Tuan; Tran, Lanh Tat Kernel density estimation under a locally mixing condition. (English) Zbl 0738.62048 Nonparametric functional estimation and related topics, NATO ASI Ser., Ser. C 335, 419-430 (1991). Reviewer: Zhijun Liu (Mississippi) MSC: 62G07 62G20 × Cite Format Result Cite Review PDF
Bradley, Richard C. On \(\rho\)-mixing except on small sets. (English) Zbl 0733.60059 Pac. J. Math. 146, No. 2, 217-226 (1990). Reviewer: A.V.Bulinskij (Moskva) MSC: 60G10 60F05 × Cite Format Result Cite Review PDF Full Text: DOI
Harel, Michel; Puri, Madan L. The space \(\tilde D_ k\) land weak convergence for the rectangle-indexed processes under mixing. (English) Zbl 0721.60037 Adv. Appl. Math. 11, No. 4, 443-474 (1990). Reviewer: L.Rüschendorf (Münster) MSC: 60F17 60B10 × Cite Format Result Cite Review PDF Full Text: DOI
Chernyak, A. I. Convergence of processes of step sums on mixing processes. (English. Russian original) Zbl 0714.60030 Ukr. Math. J. 42, No. 5, 634-637 (1990); translation from Ukr. Mat. Zh. 42, No. 5, 716-721 (1990). Reviewer: V.M.Kruglov MSC: 60F17 60J99 × Cite Format Result Cite Review PDF Full Text: DOI
Lanh Tat Tran The \(L_ 1\) convergence of kernel density estimates under dependence. (English) Zbl 0688.62030 Can. J. Stat. 17, No. 2, 197-208 (1989). MSC: 62G05 × Cite Format Result Cite Review PDF Full Text: DOI
Lanh Tat Tran Recursive density estimation under dependence. (English) Zbl 0683.62022 IEEE Trans. Inf. Theory 35, No. 5, 1103-1108 (1989). MSC: 62G05 60F15 × Cite Format Result Cite Review PDF Full Text: DOI
Englund, Jan-Eric Multivariate recursive M-estimators of location for dependent sequences. (English) Zbl 0675.62052 Sequential Anal. 8, No. 3, 293-315 (1989). MSC: 62L12 62H12 62F35 62E20 62L20 × Cite Format Result Cite Review PDF Full Text: DOI
Englund, Jan-Eric; Holst, Ulla; Ruppert, David Recursive M-estimators of location and scale for dependent sequences. (English) Zbl 0666.62038 Scand. J. Stat., Theory Appl. 15, No. 2, 147-159 (1988). Reviewer: H.Nyquist MSC: 62F35 62E20 62L20 62M99 × Cite Format Result Cite Review PDF
Lyons, Russell Mixing and asymptotic distribution modulo 1. (English) Zbl 0645.10042 Ergodic Theory Dyn. Syst. 8, No. 4, 597-619 (1988). Reviewer: Russell Lyons MSC: 11K06 28D05 × Cite Format Result Cite Review PDF Full Text: DOI
Harel, Michel; Puri, Madan Convergence faible du processus empirique multidimensionnel corrigé en condition de mélange. (Weak convergence of weighted multivariate empirical processes under mixing conditions). (French) Zbl 0652.60008 C. R. Acad. Sci., Paris, Sér. I 305, 93-95 (1987). MSC: 60B10 60F05 × Cite Format Result Cite Review PDF
Heinrich, L. A method for the derivation of limit theorems for sums of weakly dependent random variables: A survey. (English) Zbl 0631.60023 Optimization 18, 715-735 (1987). Reviewer: Z.Jurek MSC: 60F05 60G50 × Cite Format Result Cite Review PDF Full Text: DOI
Harel, Michel Convergence faible de la statistique de rang multidimensionnelle en condition de \(\phi\) melange ou de melange fort. (Weak convergence of the multivariate rank order statistic under condition of \(\phi\)-mixing or strong mixing). (French) Zbl 0621.62020 Cah. Cent. Étud. Rech. Opér. 28, 131-142 (1986). Reviewer: R.Helmers MSC: 62E20 60F05 62G10 62H15 × Cite Format Result Cite Review PDF
Malinovskij, V. K. On second-order efficiency of an asymptotically efficient test based on Markov observations. (English. Russian original) Zbl 0609.62035 Theory Probab. Appl. 30, 603-608 (1986); translation from Teor. Veroyatn. Primen 30, No. 3, 567-571 (1985). MSC: 62F05 62F03 × Cite Format Result Cite Review PDF Full Text: DOI
Goldie, Charles M.; Morrow, Gregory J. Central limit questions for random fields. (English) Zbl 0605.60029 Dependence in probability and statistics, Conf. Oberwolfach 1985, Prog. Probab. Stat. 11, 275-289 (1986). MSC: 60F05 60F17 60G60 82B20 × Cite Format Result Cite Review PDF
Bradley, Richard C. Basic properties of strong mixing conditions. (English) Zbl 0603.60034 Dependence in probability and statistics, Conf. Oberwolfach 1985, Prog. Probab. Stat. 11, 165-192 (1986). MSC: 60G10 × Cite Format Result Cite Review PDF
Robinson, P. M. Kernel estimation and interpolation for time series containing missing observations. (English) Zbl 0573.62089 Ann. Inst. Stat. Math. 36, 403-417 (1984). Reviewer: P.A.Morettin MSC: 62M20 × Cite Format Result Cite Review PDF Full Text: DOI
Rosenblatt, M. Asymptotic normality, strong mixing and spectral density estimates. (English) Zbl 0545.62058 Ann. Probab. 12, 1167-1180 (1984). Reviewer: Z.Jurek MSC: 62M15 60F05 62E20 × Cite Format Result Cite Review PDF Full Text: DOI
Bradley, Richard C. jun. On the strong mixing and weak Bernoulli conditions. (English) Zbl 0396.60038 Z. Wahrscheinlichkeitstheor. Verw. Geb. 51, 49-54 (1980). MSC: 60G10 60B05 × Cite Format Result Cite Review PDF Full Text: DOI
Statulevicius, V. A. Application of semi-invariants to asymptotic analysis of distributions of random processes. (English) Zbl 0445.60019 Multivar. Anal. IV, Proc. 4th int. Symp., Dayton 1975, 325-337 (1977). MSC: 60F05 62E20 62F12 62M15 60F10 × Cite Format Result Cite Review PDF
Leonenko, N. N. On limit distributions of statistics connected with estimation of spectral density. (Russian) Zbl 0408.62078 Teor. Veroyatn. Mat. Stat. 16, 52-59 (1977). MSC: 62M15 × Cite Format Result Cite Review PDF
Leonenko, N. N. On the invariance principle for homogeneous random fields. (Russian) Zbl 0399.60043 Teor. Veroyatn. Mat. Stat. 14, 79-87 (1976). MSC: 60G60 60F17 × Cite Format Result Cite Review PDF