Kwon, Younghak; Menz, Georg Uniform LSI for the canonical ensemble on the 1D-lattice with strong, finite-range interaction. (English) Zbl 1453.82012 ESAIM, Probab. Stat. 24, 341-373 (2020). Reviewer: Hasan Akin (Gaziantep) MSC: 82B20 26D10 82B05 60K35 82C22 PDF BibTeX XML Cite \textit{Y. Kwon} and \textit{G. Menz}, ESAIM, Probab. Stat. 24, 341--373 (2020; Zbl 1453.82012) Full Text: DOI
Shen, Yandi; Han, Fang; Witten, Daniela Exponential inequalities for dependent V-statistics via random Fourier features. (English) Zbl 07206400 Electron. J. Probab. 25, Paper No. 7, 18 p. (2020). Reviewer: Fraser Daly (Edinburgh) MSC: 60E15 60F05 60F17 PDF BibTeX XML Cite \textit{Y. Shen} et al., Electron. J. Probab. 25, Paper No. 7, 18 p. (2020; Zbl 07206400) Full Text: DOI Euclid
Knopov, P. S.; Kasitskaya, E. J. Large deviations of empirical estimates in the stochastic programming problem with nonstationary observations and continuous time. (English. Russian original) Zbl 1435.62313 Cybern. Syst. Anal. 55, No. 5, 772-777 (2019); translation from Kibern. Sist. Anal. 2019, No. 5, 81-86 (2019). MSC: 62M05 62G32 90C15 PDF BibTeX XML Cite \textit{P. S. Knopov} and \textit{E. J. Kasitskaya}, Cybern. Syst. Anal. 55, No. 5, 772--777 (2019; Zbl 1435.62313); translation from Kibern. Sist. Anal. 2019, No. 5, 81--86 (2019) Full Text: DOI
Li, Jun Asymptotic normality of interpoint distances for high-dimensional data with applications to the two-sample problem. (English) Zbl 06991017 Biometrika 105, No. 3, 529-546 (2018). MSC: 62P10 PDF BibTeX XML Cite \textit{J. Li}, Biometrika 105, No. 3, 529--546 (2018; Zbl 06991017) Full Text: DOI
Tikhomirova, Margarita I.; Chistjakov, Vladimir P. On the asymptotic normality of some sums of dependent random variables. (English. Russian original) Zbl 1377.60043 Discrete Math. Appl. 27, No. 2, 123-129 (2017); translation from Diskretn. Mat. 27, No. 4, 141-149 (2015). MSC: 60F05 60G50 PDF BibTeX XML Cite \textit{M. I. Tikhomirova} and \textit{V. P. Chistjakov}, Discrete Math. Appl. 27, No. 2, 123--129 (2017; Zbl 1377.60043); translation from Diskretn. Mat. 27, No. 4, 141--149 (2015) Full Text: DOI
Meng, Yan-Jiao The \(L_{r}\) convergence and weak laws of large numbers for \(\widetilde{\rho}\)-mixing random variables. (English) Zbl 1374.60052 ANZIAM J. 58, No. 3-4, 455-463 (2017). MSC: 60F15 PDF BibTeX XML Cite \textit{Y.-J. Meng}, ANZIAM J. 58, No. 3--4, 455--463 (2017; Zbl 1374.60052) Full Text: DOI
Bradley, Richard C.; Tone, Cristina A central limit theorem for non-stationary strongly mixing random fields. (English) Zbl 1370.60040 J. Theor. Probab. 30, No. 2, 655-674 (2017). Reviewer: Fraser Daly (Edinburgh) MSC: 60F05 60G60 PDF BibTeX XML Cite \textit{R. C. Bradley} and \textit{C. Tone}, J. Theor. Probab. 30, No. 2, 655--674 (2017; Zbl 1370.60040) Full Text: DOI arXiv
Zhang, Tonglin; Zhuang, Run Testing proportionality between the first-order intensity functions of spatial point processes. (English) Zbl 1397.62359 J. Multivariate Anal. 155, 72-82 (2017). MSC: 62M30 60G55 62G10 PDF BibTeX XML Cite \textit{T. Zhang} and \textit{R. Zhuang}, J. Multivariate Anal. 155, 72--82 (2017; Zbl 1397.62359) Full Text: DOI
Zhang, Meijian; Sun, Hongwei Regression learning with non-identically and non-independently sampling. (English) Zbl 1404.68126 Int. J. Wavelets Multiresolut. Inf. Process. 15, No. 1, Article ID 1750007, 16 p. (2017). MSC: 68T05 62G08 PDF BibTeX XML Cite \textit{M. Zhang} and \textit{H. Sun}, Int. J. Wavelets Multiresolut. Inf. Process. 15, No. 1, Article ID 1750007, 16 p. (2017; Zbl 1404.68126) Full Text: DOI
Grin’, A. G. On the moments of symmetric functions of dependent random variables. (Russian. English summary) Zbl 1399.60026 Mat. Strukt. Model. 40, 17-23 (2016). MSC: 60F05 60E15 PDF BibTeX XML Cite \textit{A. G. Grin'}, Mat. Strukt. Model. 40, 17--23 (2016; Zbl 1399.60026) Full Text: Link
Salah, Khardani; Baba, Thiam Strong consistency result of a non parametric conditional mode estimator under random censorship for functional regressors. (English) Zbl 1338.62094 Commun. Stat., Theory Methods 45, No. 7, 1863-1875 (2016). MSC: 62G05 62G08 62G20 62N01 62N02 PDF BibTeX XML Cite \textit{K. Salah} and \textit{T. Baba}, Commun. Stat., Theory Methods 45, No. 7, 1863--1875 (2016; Zbl 1338.62094) Full Text: DOI
Grin’, A. G. On the moments of generalized sums. (Russian. English summary) Zbl 1374.60022 Mat. Strukt. Model. 36, 23-28 (2015). MSC: 60F05 60E15 PDF BibTeX XML Cite \textit{A. G. Grin'}, Mat. Strukt. Model. 36, 23--28 (2015; Zbl 1374.60022) Full Text: Link
Benrabah, Ouafae; Ould Saïd, Elias; Tatachak, Abdelkader A kernel mode estimate under random left truncation and time series model: asymptotic normality. (English) Zbl 1332.60041 Stat. Pap. 56, No. 3, 887-910 (2015). MSC: 60F05 62F12 62G20 PDF BibTeX XML Cite \textit{O. Benrabah} et al., Stat. Pap. 56, No. 3, 887--910 (2015; Zbl 1332.60041) Full Text: DOI
De Capitani, Lucio Interval estimation for the Sortino ratio and the Omega ratio. (English) Zbl 1333.91061 Commun. Stat., Simulation Comput. 43, No. 6, 1385-1429 (2014). MSC: 91G70 62E20 60F05 62M10 62P05 91B82 PDF BibTeX XML Cite \textit{L. De Capitani}, Commun. Stat., Simulation Comput. 43, No. 6, 1385--1429 (2014; Zbl 1333.91061) Full Text: DOI
Szewczak, Zbigniew S. Relative stability in strictly stationary random sequences. (English) Zbl 1245.60034 Stochastic Processes Appl. 122, No. 8, 2811-2829 (2012). MSC: 60F05 60G10 PDF BibTeX XML Cite \textit{Z. S. Szewczak}, Stochastic Processes Appl. 122, No. 8, 2811--2829 (2012; Zbl 1245.60034) Full Text: DOI
Khardani, Salah; Lemdani, Mohamed; Ould Saïd, Elias On the strong uniform consistency of the mode estimator for censored time series. (English) Zbl 1238.62103 Metrika 75, No. 2, 229-241 (2012). MSC: 62M10 62G05 62N01 62G20 60F15 PDF BibTeX XML Cite \textit{S. Khardani} et al., Metrika 75, No. 2, 229--241 (2012; Zbl 1238.62103) Full Text: DOI
Wu, Qunying Further study strong consistency of \(M\) estimator in linear model for \(\tilde \rho\)-mixing random samples. (English) Zbl 1269.93118 J. Syst. Sci. Complex. 24, No. 5, 969-980 (2011). MSC: 93E10 93C57 PDF BibTeX XML Cite \textit{Q. Wu}, J. Syst. Sci. Complex. 24, No. 5, 969--980 (2011; Zbl 1269.93118) Full Text: DOI
Sun, Hongwei; Guo, Qin Coefficient regularized regression with non-iid sampling. (English) Zbl 1237.68165 Int. J. Comput. Math. 88, No. 15, 3113-3124 (2011). MSC: 68T05 62J02 PDF BibTeX XML Cite \textit{H. Sun} and \textit{Q. Guo}, Int. J. Comput. Math. 88, No. 15, 3113--3124 (2011; Zbl 1237.68165) Full Text: DOI
Wu, Yanchun; Wu, Qunying Complete convergence properties of the sums for \(\widetilde{\rho}\)-mixing sequences of random variables. (English) Zbl 1240.60091 Chin. Q. J. Math. 26, No. 2, 159-163 (2011). MSC: 60F15 PDF BibTeX XML Cite \textit{Y. Wu} and \textit{Q. Wu}, Chin. Q. J. Math. 26, No. 2, 159--163 (2011; Zbl 1240.60091)
Khardani, Salah; Lemdani, Mohamed; Ould Saïd, Elias Uniform rate of strong consistency for a smooth kernel estimator of the conditional mode for censored time series. (English) Zbl 1221.62063 J. Stat. Plann. Inference 141, No. 11, 3426-3436 (2011). MSC: 62G08 62M10 62N01 62G20 62G07 PDF BibTeX XML Cite \textit{S. Khardani} et al., J. Stat. Plann. Inference 141, No. 11, 3426--3436 (2011; Zbl 1221.62063) Full Text: DOI
Knopov, P. S.; Kasitskaya, E. J. On large deviations of empirical estimates in a stochastic programming problem with time-dependent observations. (English. Russian original) Zbl 1316.90032 Cybern. Syst. Anal. 46, No. 5, 724-728 (2010); translation from Kibern. Sist. Anal. 2010, No. 5, 46-50 (2010). MSC: 90C15 60F10 62M09 PDF BibTeX XML Cite \textit{P. S. Knopov} and \textit{E. J. Kasitskaya}, Cybern. Syst. Anal. 46, No. 5, 724--728 (2010; Zbl 1316.90032); translation from Kibern. Sist. Anal. 2010, No. 5, 46--50 (2010) Full Text: DOI
Bondarev, B. V.; Kozyr’, S. M. Mixing “In the sense of Ibragimov.” Estimate for the rate of approach of a family of integral functionals of a solution of a differential equation with periodic coefficients to a family of Wiener processes. Some applications. I. (Russian, English) Zbl 1224.60128 Ukr. Mat. Zh. 62, No. 6, 733-753 (2010); translation in Ukr. Math. J. 62, No. 6, 847-871 (2010). MSC: 60H10 PDF BibTeX XML Cite \textit{B. V. Bondarev} and \textit{S. M. Kozyr'}, Ukr. Mat. Zh. 62, No. 6, 733--753 (2010; Zbl 1224.60128); translation in Ukr. Math. J. 62, No. 6, 847--871 (2010) Full Text: DOI
Lahiri, S. N. Edgeworth expansions for Studentized statistics under weak dependence. (English) Zbl 1181.62013 Ann. Stat. 38, No. 1, 388-434 (2010). MSC: 62E20 60F05 62M10 PDF BibTeX XML Cite \textit{S. N. Lahiri}, Ann. Stat. 38, No. 1, 388--434 (2010; Zbl 1181.62013) Full Text: DOI arXiv
Feng, Fengxiang Strong law of large numbers for \(\widetilde{\rho}\)-mixing random sequences. (Chinese. English summary) Zbl 1212.60033 Pure Appl. Math. 25, No. 3, 534-540 (2009). MSC: 60F15 PDF BibTeX XML Cite \textit{F. Feng}, Pure Appl. Math. 25, No. 3, 534--540 (2009; Zbl 1212.60033)
Sharipov, O. Sh. Laws of the iterated logarithm and an almost sure invariance principle for mixing \(B\)-valued random variables and autoregressive processes. (English) Zbl 1181.60047 Lith. Math. J. 49, No. 2, 203-215 (2009). MSC: 60F17 60F15 PDF BibTeX XML Cite \textit{O. Sh. Sharipov}, Lith. Math. J. 49, No. 2, 203--215 (2009; Zbl 1181.60047) Full Text: DOI
Pan, Zhi-Wei; Xiao, Quan-Wu Least-square regularized regression with non-iid sampling. (English) Zbl 1176.68163 J. Stat. Plann. Inference 139, No. 10, 3579-3587 (2009). MSC: 68T05 62J02 PDF BibTeX XML Cite \textit{Z.-W. Pan} and \textit{Q.-W. Xiao}, J. Stat. Plann. Inference 139, No. 10, 3579--3587 (2009; Zbl 1176.68163) Full Text: DOI
Raïssi, Hamdi Testing the cointegrating rank with uncorrelated but dependent errors. (English) Zbl 1155.62069 Stochastic Anal. Appl. 27, No. 1, 24-50 (2009). MSC: 62M10 65C05 91B84 PDF BibTeX XML Cite \textit{H. Raïssi}, Stochastic Anal. Appl. 27, No. 1, 24--50 (2009; Zbl 1155.62069) Full Text: DOI
Ghouch, Anouar El; Keilegom, Ingrid van Non-parametric regression with dependent censored data. (English) Zbl 1157.62022 Scand. J. Stat. 35, No. 2, 228-247 (2008). Reviewer: R. E. Maiboroda (Kyïv) MSC: 62G08 62N01 62N02 PDF BibTeX XML Cite \textit{A. E. Ghouch} and \textit{I. van Keilegom}, Scand. J. Stat. 35, No. 2, 228--247 (2008; Zbl 1157.62022) Full Text: DOI
Ekström, Magnus Subsampling variance estimation for non-stationary spatial lattice data. (English) Zbl 1164.62069 Scand. J. Stat. 35, No. 1, 38-63 (2008). Reviewer: R. E. Maiboroda (Kyïv) MSC: 62M40 62G09 62M30 65C60 PDF BibTeX XML Cite \textit{M. Ekström}, Scand. J. Stat. 35, No. 1, 38--63 (2008; Zbl 1164.62069) Full Text: DOI
Sunklodas, J. On normal approximation for strongly mixing random fields. (English. Russian original) Zbl 1147.60018 Theory Probab. Appl. 52, No. 1, 125-132 (2008); translation from Teor. Veroyatn. Primen. 52, No. 1, 60-68 (2007). MSC: 60F05 60G60 PDF BibTeX XML Cite \textit{J. Sunklodas}, Theory Probab. Appl. 52, No. 1, 125--132 (2008; Zbl 1147.60018); translation from Teor. Veroyatn. Primen. 52, No. 1, 60--68 (2007) Full Text: DOI
Sunklodas, J. On normal approximation of discounted and strongly mixing random variables. (English) Zbl 1266.60045 Lith. Math. J. 47, No. 3, 327-335 (2007); reprint from Liet. Mat. Rink. 47, No. 3, 399-409 (2007). MSC: 60F05 PDF BibTeX XML Cite \textit{J. Sunklodas}, Lith. Math. J. 47, No. 3, 327--335 (2007; Zbl 1266.60045) Full Text: DOI
Bentkus, Vidmantas; Sunklodas, Jonas Kazys On normal approximations to strongly mixing random fields. (English) Zbl 1127.60019 Publ. Math. 70, No. 3-4, 253-270 (2007). MSC: 60F05 PDF BibTeX XML Cite \textit{V. Bentkus} and \textit{J. K. Sunklodas}, Publ. Math. 70, No. 3--4, 253--270 (2007; Zbl 1127.60019)
Lahiri, S. N. Asymptotic expansions for sums of block-variables under weak dependence. (English) Zbl 1132.60025 Ann. Stat. 35, No. 3, 1324-1350 (2007). Reviewer: B. L. S. Prakasa Rao (Hyderabad) MSC: 60F05 62E20 62M10 PDF BibTeX XML Cite \textit{S. N. Lahiri}, Ann. Stat. 35, No. 3, 1324--1350 (2007; Zbl 1132.60025) Full Text: DOI arXiv
Sunklodas, J. On normal approximation for strongly mixing random variables. (English) Zbl 1118.60017 Acta Appl. Math. 97, No. 1-3, 251-260 (2007). MSC: 60F05 PDF BibTeX XML Cite \textit{J. Sunklodas}, Acta Appl. Math. 97, No. 1--3, 251--260 (2007; Zbl 1118.60017) Full Text: DOI
Grin’, A. G. Minimal conditions of weak dependency in limit theorems for maxima. (Russian. English summary) Zbl 1265.60026 Mat. Strukt. Model. 16, 21-25 (2006). MSC: 60F05 PDF BibTeX XML Cite \textit{A. G. Grin'}, Mat. Strukt. Model. 16, 21--25 (2006; Zbl 1265.60026) Full Text: Link
Samur, Jorge D. A regularity condition and a limit theorem for Harris ergodic Markov chains. (English) Zbl 1087.60056 Stochastic Processes Appl. 111, No. 2, 207-235 (2004). Reviewer: V. Thangaraj MSC: 60J05 60F15 60F17 PDF BibTeX XML Cite \textit{J. D. Samur}, Stochastic Processes Appl. 111, No. 2, 207--235 (2004; Zbl 1087.60056) Full Text: DOI
Wu, Qunying Strong convergence rate for \(\tilde\rho\)-mixing random sequences with different distributions. (Chinese. English summary) Zbl 1050.60037 J. Math. Res. Expo. 24, No. 1, 173-179 (2004). MSC: 60F15 PDF BibTeX XML Cite \textit{Q. Wu}, J. Math. Res. Expo. 24, No. 1, 173--179 (2004; Zbl 1050.60037)
Comets, Francis; Zeitouni, Ofer A law of large numbers for random walks in random mixing environments. (English) Zbl 1078.60089 Ann. Probab. 32, No. 1B, 880-914 (2004). MSC: 60K37 60F15 82B41 82B44 PDF BibTeX XML Cite \textit{F. Comets} and \textit{O. Zeitouni}, Ann. Probab. 32, No. 1B, 880--914 (2004; Zbl 1078.60089) Full Text: DOI arXiv
Wu, Qunying An invariance principle for \(\widetilde{\rho}\)-mixing random sequences. (Chinese. English summary) Zbl 1123.60307 Pure Appl. Math. 19, No. 1, 12-15 (2003). MSC: 60F17 60F15 PDF BibTeX XML Cite \textit{Q. Wu}, Pure Appl. Math. 19, No. 1, 12--15 (2003; Zbl 1123.60307)
Cai, Guanghui Complete convergence for \(\rho^-\)-mixing random fields. (Chinese. English summary) Zbl 1037.60026 J. Zhejiang Univ., Sci. Ed. 30, No. 4, 380-383 (2003). MSC: 60F15 PDF BibTeX XML Cite \textit{G. Cai}, J. Zhejiang Univ., Sci. Ed. 30, No. 4, 380--383 (2003; Zbl 1037.60026)
Zhyrnyj, George G A version of strong invariance principle for mixing random fields. (English) Zbl 1097.60041 Visn. Donetsk. Univ., Ser. A, Pryrod. Nauky 2002, No. 1, 11-14 (2002). Reviewer: Mikhail P. Moklyachuk (Kyïv) MSC: 60G60 60F17 PDF BibTeX XML Cite \textit{G. G Zhyrnyj}, Visn. Donetsk. Univ., Ser. A, Pryrod. Nauky 2002, No. 1, 11--14 (2002; Zbl 1097.60041)
Simogin, A. A. Bounds for integrals of rapidly oscillating random processes. (Russian. English summary) Zbl 1035.60024 Prykl. Stat., Aktuarna Finans. Mat. 2001, No. 2, 111-125 (2001). MSC: 60F10 PDF BibTeX XML Cite \textit{A. A. Simogin}, Prykl. Stat., Aktuarna Finans. Mat. 2001, No. 2, 111--125 (2001; Zbl 1035.60024)
Polshkov, Yulian N. Quasi-maximal likelihood estimator of the unknown parameter in system with “physical” white noise. (English) Zbl 0973.62071 Random Oper. Stoch. Equ. 9, No. 3, 263-274 (2001). Reviewer: A.D.Borisenko (Kyïv) MSC: 62M09 62M05 60H10 PDF BibTeX XML Cite \textit{Y. N. Polshkov}, Random Oper. Stoch. Equ. 9, No. 3, 263--274 (2001; Zbl 0973.62071) Full Text: DOI
Klokov, S. A. Asymptotic representation for the distributions of sums of weakly dependent variables. (English) Zbl 0989.60028 Sib. Adv. Math. 10, No. 4, 68-104 (2000). Reviewer: D.A.Korshunov (Novosibirsk) MSC: 60F05 PDF BibTeX XML Cite \textit{S. A. Klokov}, Sib. Adv. Math. 10, No. 4, 68--104 (2000; Zbl 0989.60028)
Bondarev, B. V.; Simogin, A. A. An inequality for the probability of large deviations of an estimate of an unknown parameter in the Cauchy problem for a first-order partial differential equation with rapid random oscillations. (English. Ukrainian original) Zbl 1012.62093 Theory Probab. Math. Stat. 62, 1-8 (2001); translation from Teor. Jmovirn. Mat. Stat. 62, 1-8 (2000). Reviewer: A.V.Swishchuk (Kyïv) MSC: 62M09 60F10 60H15 35R60 62M40 PDF BibTeX XML Cite \textit{B. V. Bondarev} and \textit{A. A. Simogin}, Teor. Ĭmovirn. Mat. Stat. 62, 1--8 (2000; Zbl 1012.62093); translation from Teor. Jmovirn. Mat. Stat. 62, 1--8 (2000)
Huang, Hsin-Cheng; Cressie, Noel Asymptotic properties of maximum (composite) likelihood estimators for partially ordered Markov models. (English) Zbl 0960.62107 Stat. Sin. 10, No. 4, 1325-1344 (2000). MSC: 62M40 62F12 62M05 60F05 PDF BibTeX XML Cite \textit{H.-C. Huang} and \textit{N. Cressie}, Stat. Sin. 10, No. 4, 1325--1344 (2000; Zbl 0960.62107)
Mikusheva, A. E. An analogue of the Baum-Katz theorem for weakly dependent random variables. (English. Russian original) Zbl 0960.60025 Math. Notes 67, No. 3, 301-308 (2000); translation from Mat. Zametki 67, No. 3, 360-368 (2000). MSC: 60F15 PDF BibTeX XML Cite \textit{A. E. Mikusheva}, Math. Notes 67, No. 3, 360--368 (2000; Zbl 0960.60025); translation from Mat. Zametki 67, No. 3, 360--368 (2000) 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 PDF BibTeX XML Cite \textit{S. A. Klokov}, Mat. Tr. 2, No. 2, 21--56 (1999; Zbl 0945.60013)
Dembo, Amir; Kontoyiannis, Ioannis The asymptotics of waiting times between stationary processes, allowing distortion. (English) Zbl 0940.60033 Ann. Appl. Probab. 9, No. 2, 413-429 (1999). Reviewer: T.Inglot (Wrocław) MSC: 60F15 60F10 94A17 PDF BibTeX XML Cite \textit{A. Dembo} and \textit{I. Kontoyiannis}, Ann. Appl. Probab. 9, No. 2, 413--429 (1999; Zbl 0940.60033) Full Text: DOI
Bondarjev, B. V.; Korol’ov, M. E. Some applications of the Strassen law of iterated logarithm for normalized integrals of processes with weak dependence. (English. Ukrainian original) Zbl 0960.60030 Theory Probab. Math. Stat. 59, 11-19 (1999); translation from Teor. Jmorvirn. Mat. Stat. 59, 10-19 (1998). Reviewer: R.E.Maiboroda (Kyïv) MSC: 60F17 60G10 PDF BibTeX XML Cite \textit{B. V. Bondarjev} and \textit{M. E. Korol'ov}, Teor. Ĭmovirn. Mat. Stat. 59, 10--19 (1998; Zbl 0960.60030); translation from Teor. Jmorvirn. Mat. Stat. 59, 10--19 (1998)
Arcones, Miguel A. The law of large numbers for \(U\)-statistics under absolute regularity. (English) Zbl 0901.60015 Electron. Commun. Probab. 3, 13-19 (1998). Reviewer: A.I.Volodin (Kazan’) MSC: 60F15 PDF BibTeX XML Cite \textit{M. A. Arcones}, Electron. Commun. Probab. 3, 13--19 (1998; Zbl 0901.60015) Full Text: DOI EMIS EuDML
Wang, Xiaoming A further discussion on the convergence rates of the strong law for non-stationary \(\varphi\)-mixing sequences. (Chinese. English summary) Zbl 0906.60029 Acta Math. Sin. 40, No. 5, 675-686 (1997). MSC: 60F10 60F15 PDF BibTeX XML Cite \textit{X. Wang}, Acta Math. Sin. 40, No. 5, 675--686 (1997; Zbl 0906.60029)
Yoshihara, Ken-ichi Central limit theorems for weighted \(D[0,1]\)-valued mixing sequences. I: Functional central limit theorems for weighted sums. (English) Zbl 0901.60018 Nonlinear Anal., Theory Methods Appl. 30, No. 6, 3569-3573 (1997). MSC: 60F17 PDF BibTeX XML Cite \textit{K.-i. Yoshihara}, Nonlinear Anal., Theory Methods Appl. 30, No. 6, 3569--3573 (1997; Zbl 0901.60018) Full Text: DOI
Xu, Bing Complete convergence for \(\alpha\)-mixing sequence. (English) Zbl 0889.60028 Chin. Sci. Bull. 42, No. 13, 1068-1073 (1997). Reviewer: T.Mikosch (Groningen) MSC: 60F15 PDF BibTeX XML Cite \textit{B. Xu}, Chin. Sci. Bull. 42, No. 13, 1068--1073 (1997; Zbl 0889.60028)
Yoshihara, Ken-ichi Central limit theorems for weighted \(D[0,1]\)-valued mixing sequences. II: Functional central limit theorems for integrated variables. (English) Zbl 0896.60010 Yokohama Math. J. 44, No. 2, 157-167 (1997). MSC: 60F05 PDF BibTeX XML Cite \textit{K.-i. Yoshihara}, Yokohama Math. J. 44, No. 2, 157--167 (1997; Zbl 0896.60010)
Kul’chitskij, O. Yu. Random processes with strong averaging condition. (English. Russian original) Zbl 0927.60049 J. Math. Sci., New York 93, No. 3, 385-391 (1999); translation from Zap. Nauchn. Semin. POMI 228, 209-219 (1996). Reviewer: J.-C.Massé (Quebec) MSC: 60G07 PDF BibTeX XML Cite \textit{O. Yu. Kul'chitskij}, J. Math. Sci., New York 93, No. 3, 1 (1996; Zbl 0927.60049); translation from Zap. Nauchn. Semin. POMI 228, 209--219 (1996) Full Text: DOI
Lahiri, Soumendra Nath Asymptotic expansions for sums of random vectors under polynomial mixing rates. (English) Zbl 0897.60028 Sankhyā, Ser. A 58, No. 2, 206-224 (1996). MSC: 60F05 60G60 PDF BibTeX XML Cite \textit{S. N. Lahiri}, Sankhyā, Ser. A 58, No. 2, 206--224 (1996; Zbl 0897.60028)
Zuev, N. U. Estimates of the convergence rate in the central limit theorem for random fields satisfying Cramer’s condition and the strong mixing condition. (Russian. English summary) Zbl 0868.60017 Izv. Akad. Nauk Belarusi, Ser. Fiz.-Mat. Nauk 1996, No. 2, 29-34 (1996). Reviewer: B.Kryžienė (Vilnius) MSC: 60F05 60G60 PDF BibTeX XML Cite \textit{N. U. Zuev}, Izv. Akad. Nauk Belarusi, Ser. Fiz.-Mat. Nauk 1996, No. 2, 29--34 (1996; Zbl 0868.60017)
Zhang, Lixin Strong law of large numbers of Marcinkiewicz for \(\varphi\)-mixing random fields. (Chinese. English summary) Zbl 0889.60053 J. Hangzhou Univ., Nat. Sci. Ed. 22, No. 2, 132-138 (1995). MSC: 60G60 PDF BibTeX XML Cite \textit{L. Zhang}, J. Hangzhou Univ., Nat. Sci. Ed. 22, No. 2, 132--138 (1995; Zbl 0889.60053)
Oliveira, Paulo Eduardo; Suquet, Charles Empirical process under dependence in \(L^ 2[0,1]\). (Processus empirique sous dépendance dans \(L^ 2[0,1]\).) (French. Abridged English version) Zbl 0871.62047 C. R. Acad. Sci., Paris, Sér. I 321, No. 7, 939-944 (1995). MSC: 62G30 60F05 62G20 PDF BibTeX XML Cite \textit{P. E. Oliveira} and \textit{C. Suquet}, C. R. Acad. Sci., Paris, Sér. I 321, No. 7, 939--944 (1995; Zbl 0871.62047)
Oliveira, Paulo; Suquet, Charles \(L^ 2(0,1)\) weak convergence of the empirical process for dependent variables. (English) Zbl 0831.60037 Antoniadis, Anestis (ed.) et al., Wavelets and statistics. Proceedings of the 15th French-Belgian meeting of statisticians, held at Villard de Lans, France, November 16-18, 1994. New York, NY: Springer-Verlag. Lect. Notes Stat., Springer-Verlag. 103, 331-344 (1995). Reviewer: Lin Zhengyan (Ottawa) MSC: 60F05 62G30 PDF BibTeX XML Cite \textit{P. Oliveira} and \textit{C. Suquet}, in: Wavelets and statistics. Proceedings of the 15th French-Belgian meeting of statisticians, held at Villard de Lans, France, November 16-18, 1994. New York, NY: Springer-Verlag. 331--344 (1995; Zbl 0831.60037)
Chen, Jiahua Optimal rate of convergence for finite mixture models. (English) Zbl 0821.62023 Ann. Stat. 23, No. 1, 221-233 (1995). MSC: 62G20 62G05 62F12 PDF BibTeX XML Cite \textit{J. Chen}, Ann. Stat. 23, No. 1, 221--233 (1995; Zbl 0821.62023) Full Text: DOI
Chandra, Tapas K.; Ghosal, Subhashis On Borel-Cantelli lemmas. (English) Zbl 0847.60026 Mukherjee, S. P. (ed.) et al., Essays on probability and statistics. Festschrift in honour of Professor Anil Kumar Bhattacharyya. Calcutta: Presidency College, Dept. of Statistics, 231-239 (1994). Reviewer: D.Tasche (Berlin) MSC: 60F20 60F15 PDF BibTeX XML Cite \textit{T. K. Chandra} and \textit{S. Ghosal}, in: Essays on probability and statistics. Festschrift in honour of Professor Anil Kumar Bhattacharyya. Calcutta: Presidency College, Dept. of Statistics. 231--239 (1994; Zbl 0847.60026)
Ward, Thomas B. Automorphisms of \(\mathbb Z^ d\)-subshifts of finite type. (English) Zbl 0823.28007 Indag. Math., New Ser. 5, No. 4, 495-504 (1994). Reviewer: G.R.Goodson (Towson) MSC: 37B99 37A25 28D15 PDF BibTeX XML Cite \textit{T. B. Ward}, Indag. Math., New Ser. 5, No. 4, 495--504 (1994; Zbl 0823.28007) Full Text: DOI
Fotopoulos, S. B.; Ahn, S. K.; Cho, S. Strong approximation of the quantile processes and its applications under strong mixing properties. (English) Zbl 0813.60033 J. Multivariate Anal. 51, No. 1, 17-45 (1994). Reviewer: L.Paditz (Dresden) MSC: 60F15 62G30 60G10 60G25 62G15 PDF BibTeX XML Cite \textit{S. B. Fotopoulos} et al., J. Multivariate Anal. 51, No. 1, 17--45 (1994; Zbl 0813.60033) Full Text: DOI
Arfi, Mounir; Lecoutre, Jean-Pierre Drift estimation under strong mixing. (English) Zbl 0827.62085 Publ. Inst. Stat. Univ. Paris 38, No. 3, 111-127 (1994). MSC: 62M05 62G07 62G20 PDF BibTeX XML Cite \textit{M. Arfi} and \textit{J.-P. Lecoutre}, Publ. Inst. Stat. Univ. Paris 38, No. 3, 111--127 (1994; Zbl 0827.62085)
Ould-Said, Elias The LIL for the empirical multivariate distribution function under \(\alpha\)-mixing. Application. (Loi du log itéré pour la fonction de répartition empirique dans le cas multidimensionnel et \(\alpha\)-mélangeant. Application.) (French. Abridged English version) Zbl 0796.62044 C. R. Acad. Sci., Paris, Sér. I 318, No. 8, 759-763 (1994). MSC: 62G20 62G07 60F15 62E20 62G30 62H12 PDF BibTeX XML Cite \textit{E. Ould-Said}, C. R. Acad. Sci., Paris, Sér. I 318, No. 8, 759--763 (1994; Zbl 0796.62044)
Hosoya, Yuzo Limit theorems for statistical inference on stationary processes with strong dependence. (English) Zbl 0854.62080 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. 151-163 (1993). MSC: 62M09 60F05 60G10 PDF BibTeX XML Cite \textit{Y. Hosoya}, in: Statistical sciences and data analysis. Proceedings of the third Pacific Area statistical conference, Makuhari, Japan, December 11-13, 1991. Utrecht: VSP. 151--163 (1993; Zbl 0854.62080)
Chernyak, A. I.; Sztrik, J. Limit theorems for dependent summation schemes. (English) Zbl 0842.60029 Random Oper. Stoch. Equ. 1, No. 1, 29-36 (1993). MSC: 60F15 PDF BibTeX XML Cite \textit{A. I. Chernyak} and \textit{J. Sztrik}, Random Oper. Stoch. Equ. 1, No. 1, 29--36 (1993; Zbl 0842.60029) Full Text: DOI
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 PDF BibTeX XML Cite \textit{A. B. Gortchakov}, in: Вероятностные методы дискретной\ математики. Труды третьей\ Петрозаводской\ конференции. Петрозаводск (Россия), 11-16 мая 1992 г. Moskva: TVP; Utrecht: VSP. 186--199 (1993; Zbl 0810.60032)
Baek, Jangsun; Wehrly, Thomas E. Kernel estimation for additive models under dependence. (English) Zbl 0780.62031 Stochastic Processes Appl. 47, No. 1, 95-112 (1993). MSC: 62G07 62G20 62G09 62E20 62M10 PDF BibTeX XML Cite \textit{J. Baek} and \textit{T. E. Wehrly}, Stochastic Processes Appl. 47, No. 1, 95--112 (1993; Zbl 0780.62031) Full Text: DOI
Lahiri, Soumendra Nath Refinements in asymptotic expansions for sums of weakly dependent random vectors. (English) Zbl 0776.60025 Ann. Probab. 21, No. 2, 791-799 (1993). MSC: 60F05 60G60 PDF BibTeX XML Cite \textit{S. N. Lahiri}, Ann. Probab. 21, No. 2, 791--799 (1993; Zbl 0776.60025) Full Text: DOI
Brodskij, Boris E.; Darkhovskij, B. S. Nonparametric methods in change-point problems. (English) Zbl 0779.62031 Mathematics and its Applications (Dordrecht). 243. Dordrecht: Kluwer Academic Publishers. 224 p. (1993). Reviewer: W.Stute (Gießen) MSC: 62G05 62-01 62-02 62M40 62L12 PDF BibTeX XML Cite \textit{B. E. Brodskij} and \textit{B. S. Darkhovskij}, Nonparametric methods in change-point problems. Dordrecht: Kluwer Academic Publishers (1993; Zbl 0779.62031)
Oliveira, M. F. On the limiting distribution of sums of certain types of nonstationary sequences. (Russian) Zbl 0754.60026 Teor. Veroyatn. Primen. 37, No. 2, 380-383 (1992). Reviewer: M.F.Oliveira (Lisboa) MSC: 60F05 PDF BibTeX XML Cite \textit{M. F. Oliveira}, Teor. Veroyatn. Primen. 37, No. 2, 380--383 (1992; Zbl 0754.60026)
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 PDF BibTeX XML Cite \textit{A. Yu. Veretennikov}, in: Probability theory and mathematical statistics. Proceedings of the 6th USSR-Japan symposium, Kiev, USSR, 5-10 August, 1991. Singapore: World Scientific. 403--413 (1992; Zbl 0817.60024)
Cai, Zongwu; Roussas, George G. Uniform strong estimation under \(\alpha\)-mixing, with rates. (English) Zbl 0757.62024 Stat. Probab. Lett. 15, No. 1, 47-55 (1992). Reviewer: S.Penev (Kensington) MSC: 62G20 62M09 60F15 62G30 62G07 PDF BibTeX XML Cite \textit{Z. Cai} and \textit{G. G. Roussas}, Stat. Probab. Lett. 15, No. 1, 47--55 (1992; Zbl 0757.62024) Full Text: DOI
Oliveira, M. F. Limiting distribution of sums of certain types of nonstationary sequences. (English. Russian original) Zbl 0787.60032 Theory Probab. Appl. 37, No. 2, 380-383 (1992); translation from Teor. Veroyatn. Primen. 37, No. 2, 380-383 (1992). MSC: 60F05 PDF BibTeX XML Cite \textit{M. F. Oliveira}, Teor. Veroyatn. Primen. 37, No. 2, 380--383 (1992; Zbl 0787.60032); translation from Teor. Veroyatn. Primen. 37, No. 2, 380--383 (1992)
Peligrad, Magda On the central limit theorem for weakly dependent sequences with a decomposed strong mixing coefficient. (English) Zbl 0757.60028 Stochastic Processes Appl. 42, No. 2, 181-193 (1992). Reviewer: Wolfgang Schmid (Ulm) MSC: 60G10 60F05 PDF BibTeX XML Cite \textit{M. Peligrad}, Stochastic Processes Appl. 42, No. 2, 181--193 (1992; Zbl 0757.60028) Full Text: DOI
Stroock, Daniel W.; Zegarlinski, Boguslaw The equivalence of the logarithmic Sobolev inequality and the Dobrushin- Shlosman mixing condition. (English) Zbl 0745.60104 Commun. Math. Phys. 144, No. 2, 303-323 (1992). MSC: 60K35 82B20 82C20 PDF BibTeX XML Cite \textit{D. W. Stroock} and \textit{B. Zegarlinski}, Commun. Math. Phys. 144, No. 2, 303--323 (1992; Zbl 0745.60104) Full Text: DOI
Tikhomirov, A. N. On the accuracy of normal approximation of the probability of hitting a ball of sums of weakly dependent Hilbert space valued random variables. I. (English. Russian original) Zbl 0776.60010 Theory Probab. Appl. 36, No. 4, 738-751 (1991); translation from Teor. Veroyatn. Primen. 36, No. 4, 699-710 (1991). MSC: 60B12 60F05 PDF BibTeX XML Full Text: DOI
Qian, Lianfen Strong convergence rate of a nonparametric estimate of a density function for dependent random variables. (Chinese. English summary) Zbl 0757.62026 Appl. Math., J. Chin. Univ. 6, No. 2, 214-221 (1991). MSC: 62G20 62G07 60F15 PDF BibTeX XML Cite \textit{L. Qian}, Appl. Math., J. Chin. Univ. 6, No. 2, 214--221 (1991; Zbl 0757.62026)
Vieu, Philippe Quadratic errors for nonparametric estimates under dependence. (English) Zbl 0751.62022 J. Multivariate Anal. 39, No. 2, 324-347 (1991). Reviewer: H.Liero (Potsdam) MSC: 62G07 62G20 PDF BibTeX XML Cite \textit{P. Vieu}, J. Multivariate Anal. 39, No. 2, 324--347 (1991; Zbl 0751.62022) Full Text: DOI
Tikhomirov, A. N. On the accuracy of normal approximation of the probability of sums of weakly dependent Hilbert-valued random variables hitting a ball. I. (Russian. Russian original) Zbl 0742.60009 Teor. Veroyatn. Primen. 36, No. 4, 699-710 (1991). Reviewer: K.Liubinskas (Vilnius) MSC: 60B12 60F05 PDF BibTeX XML Cite \textit{A. N. Tikhomirov}, Teor. Veroyatn. Primen. 36, No. 4, 699--710 (1991; Zbl 0742.60009)
Bondarev, B. V. Averaging stochastic systems under weakly dependent perturbations. (English. Russian original) Zbl 0724.60078 Ukr. Math. J. 42, No. 5, 525-531 (1990); translation from Ukr. Mat. Zh. 42, No. 5, 593-600 (1990). MSC: 60H25 PDF BibTeX XML Cite \textit{B. V. Bondarev}, Ukr. Math. J. 42, No. 5, 525--531 (1990; Zbl 0724.60078); translation from Ukr. Mat. Zh. 42, No. 5, 593--600 (1990) Full Text: DOI
Bradley, Richard C. Counterexamples to the central limit theorem under strong mixing conditions. II. (English) Zbl 0721.60042 Limit theorems in probability and statistics, Proc. 3rd Colloq., Pécs/Hung. 1989, Colloq. Math. Soc. János Bolyai 57, 59-67 (1990). Reviewer: R.C.Bradley (Bloomington) MSC: 60G10 60F05 PDF BibTeX XML
Cutler, Colleen D.; Dawson, Donald A. Nearest-neighbor analysis of a family of fractal distributions. (English) Zbl 0715.60024 Ann. Probab. 18, No. 1, 256-271 (1990). Reviewer: S.K.Basu MSC: 60F05 62E20 PDF BibTeX XML Cite \textit{C. D. Cutler} and \textit{D. A. Dawson}, Ann. Probab. 18, No. 1, 256--271 (1990; Zbl 0715.60024) Full Text: DOI
Grin’, A. G. Domains of attraction of mixing sequences. (English. Russian original) Zbl 0714.60017 Sib. Math. J. 31, No. 1, 43-52 (1990); translation from Sib. Mat. Zh. 31, No. 1(179), 53-63 (1990). MSC: 60F05 60G10 PDF BibTeX XML Cite \textit{A. G. Grin'}, Sib. Math. J. 31, No. 1, 43--52 (1990; Zbl 0714.60017); translation from Sib. Mat. Zh. 31, No. 1(179), 53--63 (1990) Full Text: DOI
Hart, Jeffrey D.; Vieu, Philippe Data-driven bandwidth choice for density estimation based on dependent data. (English) Zbl 0703.62045 Ann. Stat. 18, No. 2, 873-890 (1990). MSC: 62G05 62G20 62M99 PDF BibTeX XML Cite \textit{J. D. Hart} and \textit{P. Vieu}, Ann. Stat. 18, No. 2, 873--890 (1990; Zbl 0703.62045) Full Text: DOI
Bondarev, B. V. On the averaging of stochastic systems under weakly dependent perturbations. (Russian) Zbl 0703.60063 Ukr. Mat. Zh. 42, No. 5, 593-600 (1990). Reviewer: A.Ya.Dorogovtsev MSC: 60H25 PDF BibTeX XML Cite \textit{B. V. Bondarev}, Ukr. Mat. Zh. 42, No. 5, 593--600 (1990; Zbl 0703.60063) Full Text: DOI
Grin’, A. G. Attraction domains for sequences with intermixing. (Russian) Zbl 0701.60019 Sib. Mat. Zh. 31, No. 1(179), 53-63 (1990). Reviewer: A.G.Grin’ MSC: 60F05 60G10 PDF BibTeX XML Cite \textit{A. G. Grin'}, Sib. Mat. Zh. 31, No. 1(179), 53--63 (1990; Zbl 0701.60019)
Bondarev, B. V. Some questions of nonparametric statistics of weakly dependent observations. (English. Russian original) Zbl 0748.62023 Theory Probab. Math. Stat. 43, 21-27 (1991); translation from Teor. Veroyatn. Mat. Stat., Kiev 43, 19-26 (1990). MSC: 62G07 62M09 60G10 62G30 PDF BibTeX XML Cite \textit{B. V. Bondarev}, Theory Probab. Math. Stat. 43, 21--27 (1990; Zbl 0748.62023); translation from Teor. Veroyatn. Mat. Stat., Kiev 43, 19--26 (1990)
Tran, Lanh Tat Kernel density estimation under dependence. (English) Zbl 0778.62036 Stat. Probab. Lett. 10, No. 3, 193-201 (1990). MSC: 62G07 62G20 PDF BibTeX XML Cite \textit{L. T. Tran}, Stat. Probab. Lett. 10, No. 3, 193--201 (1990; Zbl 0778.62036) Full Text: DOI
Jensen, Jens Ledet Asymptotic expansions for sums over a random field. (English) Zbl 0699.62018 Asymptotic statistics, 4th Prague Symp., Prague/Czech. 1988, 295-303 (1989). Reviewer: J.L.Jensen MSC: 62E20 60G60 PDF BibTeX XML
Zuparov, T. M.; Mukhamedov, A. K. The invariance principle for processes with uniformly strong mixing. (Russian) Zbl 0755.60025 Functionals of stochastic processes and statistical conclusions, Tashkent, 27-36 (1989). Reviewer: E.I.Trofimov (Kazan’) MSC: 60F17 PDF BibTeX XML Cite \textit{T. M. Zuparov} and \textit{A. K. Mukhamedov}, in: Funktsionaly ot sluchajnykh protsessov i statisticheskie vyvody. Tashkent: Fan. 27--36 (1989; Zbl 0755.60025)
Yurinskij, V. V. Covariance bounds for means with respect to distributions of switching diffusions in random environment. (English. Russian original) Zbl 0756.60054 Sib. Adv. Math. 1, No. 2, 185-199 (1991); translation from Tr. Inst. Mat. 13, 169-180 (1989). MSC: 60H15 PDF BibTeX XML Cite \textit{V. V. Yurinskij}, Sib. Adv. Math. 1, No. 2, 185--199 (1989; Zbl 0756.60054); translation from Tr. Inst. Mat. 13, 169--180 (1989)
Mielke, P. W. jun.; Yao, Y. C. A class of multiple sample tests based on empirical coverages. (English) Zbl 0698.62048 Ann. Inst. Stat. Math. 40, No. 1, 165-178 (1988). MSC: 62G10 62E20 PDF BibTeX XML Cite \textit{P. W. Mielke jun.} and \textit{Y. C. Yao}, Ann. Inst. Stat. Math. 40, No. 1, 165--178 (1988; Zbl 0698.62048) Full Text: DOI
Sarda, Pascal; Vieu, Philippe Vitesses de convergence d’estimateurs non-paramétriques d’une régression et de ses derivées. (Rate of convergence in non-parametric estimation of a regression and its derivatives). (French) Zbl 0664.62033 C. R. Acad. Sci., Paris, Sér. I 306, No. 2, 83-86 (1988). MSC: 62G05 PDF BibTeX XML Cite \textit{P. Sarda} and \textit{P. Vieu}, C. R. Acad. Sci., Paris, Sér. I 306, No. 2, 83--86 (1988; Zbl 0664.62033)
Abdalimov, B. A central limit theorem for U-statistics of weakly dependent variables. (Russian) Zbl 0658.60041 Izv. Akad. Nauk UzSSR, Ser. Fiz.-Mat. Nauk 1988, No. 2, 3-6 (1988). Reviewer: I.S.Borisov MSC: 60F05 PDF BibTeX XML Cite \textit{B. Abdalimov}, Izv. Akad. Nauk UzSSR, Ser. Fiz.-Mat. Nauk 1988, No. 2, 3--6 (1988; Zbl 0658.60041)
Hsing, Tailen On the extreme order statistics for a stationary sequence. (English) Zbl 0654.60021 Stochastic Processes Appl. 29, No. 1, 155-169 (1988). Reviewer: W.Dziubdziela MSC: 60F05 60G55 62G30 PDF BibTeX XML Cite \textit{T. Hsing}, Stochastic Processes Appl. 29, No. 1, 155--169 (1988; Zbl 0654.60021) Full Text: DOI
Anisimov, V. V.; Pushkin, S. G. Limit theorems and estimates of closeness for summation schemes on Markov chains. (English. Russian original) Zbl 0652.60071 Theory Probab. Math. Stat. 37, 7-17 (1988); translation from Teor. Veroyatn. Mat. Stat., Kiev 37, 7-16 (1987). MSC: 60J10 60G50 60F17 60B10 60K15 60F05 PDF BibTeX XML Cite \textit{V. V. Anisimov} and \textit{S. G. Pushkin}, Theory Probab. Math. Stat. 37, 7--17 (1987; Zbl 0652.60071); translation from Teor. Veroyatn. Mat. Stat., Kiev 37, 7--16 (1987)