Edit Profile (opens in new tab) Wichura, Michael J. Co-Author Distance Author ID: wichura.michael-j Published as: Wichura, Michael J.; Wichura, M. J.; Wichura, Michael more...less External Links: MGP Documents Indexed: 19 Publications since 1969, including 1 Book Co-Authors: 6 Co-Authors with 8 Joint Publications 439 Co-Co-Authors all top 5 Co-Authors 11 single-authored 2 Perlman, Michael D. 2 Sen, Pradip Kumar 1 Bickel, Peter John 1 Billingsley, Patrick Paul 1 Fill, James Allen 1 Janson, Svante all top 5 Serials 5 The Annals of Probability 4 Annals of Mathematical Statistics 1 The American Statistician 1 The Annals of Statistics 1 Journal of Multivariate Analysis 1 Sankhyā. Series A. Methods and Techniques 1 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 1 Statistics & Probability Letters 1 Probability Theory and Related Fields 1 Stochastic Processes and their Applications 1 Cambridge Series in Statistical and Probabilistic Mathematics Fields 16 Probability theory and stochastic processes (60-XX) 4 Statistics (62-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 17 Publications have been cited 438 times in 411 Documents Cited by ▼ Year ▼ Convergence criteria for multiparameter stochastic processes and some applications. Zbl 0265.60011 Bickel, P. J.; Wichura, M. J. 239 1971 Inequalities with applications to the weak convergence of random processes with multi-dimensional time parameters. Zbl 0214.17701 Wichura, M. J. 56 1969 Some Strassen-type laws of the iterated logarithm for multiparameter stochastic processes with independent increments. Zbl 0288.60030 Wichura, Michael J. 52 1973 On the construction of almost uniformly convergent random variables with given weakly convergent image laws. Zbl 0218.60005 Wichura, Michael J. 20 1970 Functional laws of the iterated logarithm for the partial sums of i.i.d. random variables in the asymmetric stable law. Zbl 0325.60029 Wichura, Michael J. 16 1974 Invariance principles for stochastic area and related stochastic integrals. Zbl 0523.60014 Janson, Svante; Wichura, Michael J. 13 1984 On the functional form of the law of the iterated logarithm for the partial maxima of independent identically distributed random variables. Zbl 0304.60018 Wichura, Michael J. 12 1974 A note on the weak convergence of stochastic processes. Zbl 0268.60026 Wichura, M. J. 11 1971 Sharpening Buffon’s needle. Zbl 0332.62026 Perlman, Michael D.; Wichura, Michael J. 6 1975 Boundary crossing probabilities associated with Motoo’s law of the iterated logarithm. Zbl 0281.60023 Wichura, Michael J. 3 1973 The coordinate-free approach to linear models. Zbl 1118.62070 Wichura, Michael J. 3 2006 Estimation of first crossing time distribution for N-parameter Brownian motion processes relative to upper class boundaries. Zbl 0577.60077 Sen, Pradip Kumar; Wichura, Michael J. 2 1984 A note on the convergence of series of stochastic processes. Zbl 0281.60046 Wichura, M. J. 1 1973 A note on substitution in conditional distribution. Zbl 0323.62009 Perlman, Michael D.; Wichura, Michael J. 1 1975 On the probability of a symmetric stable process crossing a bottom outer boundary. Zbl 0381.60024 Wichura, Michael J. 1 1979 Estimation of first crossing time distribution for Brownian motion processes relative to upper class boundaries. Zbl 0579.60029 Sen, Pradip Kumar; Wichura, Michael J. 1 1984 The convergence rate for the strong law of large numbers: General lattice distributions. Zbl 0643.60024 Fill, James Allen; Wichura, Michael J. 1 1989 The coordinate-free approach to linear models. Zbl 1118.62070 Wichura, Michael J. 3 2006 The convergence rate for the strong law of large numbers: General lattice distributions. Zbl 0643.60024 Fill, James Allen; Wichura, Michael J. 1 1989 Invariance principles for stochastic area and related stochastic integrals. Zbl 0523.60014 Janson, Svante; Wichura, Michael J. 13 1984 Estimation of first crossing time distribution for N-parameter Brownian motion processes relative to upper class boundaries. Zbl 0577.60077 Sen, Pradip Kumar; Wichura, Michael J. 2 1984 Estimation of first crossing time distribution for Brownian motion processes relative to upper class boundaries. Zbl 0579.60029 Sen, Pradip Kumar; Wichura, Michael J. 1 1984 On the probability of a symmetric stable process crossing a bottom outer boundary. Zbl 0381.60024 Wichura, Michael J. 1 1979 Sharpening Buffon’s needle. Zbl 0332.62026 Perlman, Michael D.; Wichura, Michael J. 6 1975 A note on substitution in conditional distribution. Zbl 0323.62009 Perlman, Michael D.; Wichura, Michael J. 1 1975 Functional laws of the iterated logarithm for the partial sums of i.i.d. random variables in the asymmetric stable law. Zbl 0325.60029 Wichura, Michael J. 16 1974 On the functional form of the law of the iterated logarithm for the partial maxima of independent identically distributed random variables. Zbl 0304.60018 Wichura, Michael J. 12 1974 Some Strassen-type laws of the iterated logarithm for multiparameter stochastic processes with independent increments. Zbl 0288.60030 Wichura, Michael J. 52 1973 Boundary crossing probabilities associated with Motoo’s law of the iterated logarithm. Zbl 0281.60023 Wichura, Michael J. 3 1973 A note on the convergence of series of stochastic processes. Zbl 0281.60046 Wichura, M. J. 1 1973 Convergence criteria for multiparameter stochastic processes and some applications. Zbl 0265.60011 Bickel, P. J.; Wichura, M. J. 239 1971 A note on the weak convergence of stochastic processes. Zbl 0268.60026 Wichura, M. J. 11 1971 On the construction of almost uniformly convergent random variables with given weakly convergent image laws. Zbl 0218.60005 Wichura, Michael J. 20 1970 Inequalities with applications to the weak convergence of random processes with multi-dimensional time parameters. Zbl 0214.17701 Wichura, M. J. 56 1969 all cited Publications top 5 cited Publications all top 5 Cited by 475 Authors 11 Horváth, Lajos 7 Ivanoff, B. Gail 7 Pang, Guodong 6 Gut, Allan 6 Rémillard, Bruno N. 5 Bouzebda, Salim 5 Giraudo, Davide 5 Sen, Pranab Kumar 5 Whitt, Ward 4 Beran, Rudolf J. 4 Berkes, István 4 Bücher, Axel 4 Csörgő, Miklós 4 Dabrowska, Dorota M. 4 Hidalgo, Javier 4 Leipus, Remigijus 4 Mikosch, Thomas 4 Park, Cheolwoo 4 Stadtmüller, Ulrich 4 Surgailis, Donatas 3 Bardina, Xavier 3 Bucchia, Béatrice 3 Davis, Richard A. 3 Delgado, Miguel Ángel 3 Denker, Manfred 3 Dorea, Chang Chung Yu 3 Giraitis, Liudas 3 Hirsch, Christian 3 Huh, Jib 3 Jolis, Maria 3 Khoshnevisan, Davar 3 Klesov, Oleg I. 3 Krebs, Johannes T. N. 3 Kuelbs, James D. 3 Marinucci, Domenico 3 McKeague, Ian W. 3 Morkvenas, R. O. 3 Morrow, Gregory J. 3 Nasri, Bouchra R. 3 Pyke, Ronald 3 Shen, Guangjun 3 Szyszkowicz, Barbara 3 Utikal, Klaus J. 3 Vervaat, Wim 3 Wang, Yizao 3 Wendler, Martin 2 Aaronson, Jon 2 Adler, Robert Joseph 2 Aki, Sigeo 2 Banys, Rimas 2 Bass, Richard F. 2 Bazarova, Alina 2 Bouezmarni, Taoufik 2 Boufoussi, Brahim 2 Calka, Pierre 2 Carroll, Raymond James 2 Chaudhuri, Probal 2 Cristobal, Jose A. Cristobal 2 Dedecker, Jérôme 2 Demichev, V. P. 2 Divanji, Gooty 2 Domínguez, Manuel A. 2 Donati-Martin, Catherine 2 Doukhan, Paul 2 Durieu, Olivier 2 El Machkouri, Mohamed 2 Etemadi, Nasrollah 2 Fermanian, Jean-David 2 Genest, Christian 2 Ghoudi, Kilani 2 Gombay, Edit 2 Heinrich, Lothar 2 Hill, Jonathan B. 2 Hoga, Yannick 2 Iglehart, Donald Lee 2 Janson, Svante 2 Jarušková, Daniela 2 Jurečková, Jana 2 Ko, Mi-Hwa 2 Kojadinovic, Ivan 2 Koul, Hira Lal 2 Lacey, Michael T. 2 Lachout, Petr 2 Lemyre, Félix Camirand 2 Levin, David A. 2 Ling, Shiqing 2 Lo, Albert Y. 2 Lobato, Ignacio Norberto 2 Lu, Hongyuan 2 Major, Peter 2 Méndez-Hernández, Pedro J. 2 Molchanov, Ilya S. 2 Nayak, S. S. 2 Neaderhouser, Carla C. 2 Pakkanen, Mikko S. 2 Pap, Gyula 2 Peligrad, Magda 2 Philipp, Walter 2 Pratelli, Luca 2 Quessy, Jean-François ...and 375 more Authors all top 5 Cited in 103 Serials 37 Stochastic Processes and their Applications 31 Statistics & Probability Letters 30 Journal of Multivariate Analysis 30 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 18 Journal of Statistical Planning and Inference 16 Probability Theory and Related Fields 14 Lithuanian Mathematical Journal 14 Bernoulli 13 Journal of Theoretical Probability 11 Journal of Econometrics 10 The Annals of Statistics 7 Metrika 7 Communications in Statistics. Theory and Methods 6 Journal of Nonparametric Statistics 6 Econometric Theory 5 Annals of the Institute of Statistical Mathematics 5 Kybernetika 5 Statistics 5 Queueing Systems 5 Electronic Journal of Statistics 4 The Canadian Journal of Statistics 4 Mathematical Notes 4 The Annals of Probability 4 Transactions of the American Mathematical Society 4 Sequential Analysis 4 Econometric Reviews 3 Journal of Mathematical Analysis and Applications 3 Journal of Soviet Mathematics 3 Stochastic Analysis and Applications 3 The Annals of Applied Probability 3 Mathematical Methods of Statistics 3 Journal of Inequalities and Applications 3 Extremes 3 Random Matrices: Theory and Applications 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Applied Mathematics and Computation 2 Boletim da Sociedade Brasileira de Matemática 2 Journal of the American Statistical Association 2 Acta Mathematica Hungarica 2 Statistical Science 2 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 2 Computational Statistics and Data Analysis 2 Theory of Probability and Mathematical Statistics 2 Journal of Mathematical Sciences (New York) 2 Electronic Journal of Probability 2 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 2 Statistical Inference for Stochastic Processes 2 Stochastics and Dynamics 1 Acta Mathematica Academiae Scientiarum Hungaricae 1 Advances in Applied Probability 1 Computers & Mathematics with Applications 1 Communications in Mathematical Physics 1 Journal of Mathematical Physics 1 Journal of Statistical Physics 1 Moscow University Mathematics Bulletin 1 Rocky Mountain Journal of Mathematics 1 Annales Scientifiques de l’Université de Clermont-Ferrand II. Mathématiques 1 Applied Mathematics and Optimization 1 Czechoslovak Mathematical Journal 1 Fuzzy Sets and Systems 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Functional Analysis 1 Journal of Mathematical Psychology 1 Manuscripta Mathematica 1 Mathematics of Operations Research 1 Mathematica Slovaca 1 Mathematische Zeitschrift 1 Proceedings of the American Mathematical Society 1 Scandinavian Actuarial Journal 1 Semigroup Forum 1 SIAM Journal on Control and Optimization 1 Siberian Mathematical Journal 1 Statistica Neerlandica 1 Advances in Applied Mathematics 1 Journal of Time Series Analysis 1 Annales Scientifiques de l’Université de Clermont-Ferrand II. Probabilités et Applications 1 Acta Mathematicae Applicatae Sinica. English Series 1 Optimization 1 Annales Scientifiques de l’Université Blaise Pascal Clermont-Ferrand II. Probabilités et Applications 1 Random Structures & Algorithms 1 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section B. Calcul des Probabilités et Statistique 1 Acta Mathematica Sinica. New Series 1 Stochastics and Stochastics Reports 1 Test 1 Statistical Papers 1 Random Operators and Stochastic Equations 1 Bulletin des Sciences Mathématiques 1 Lifetime Data Analysis 1 Doklady Mathematics 1 Studies in Nonlinear Dynamics and Econometrics 1 Discrete Dynamics in Nature and Society 1 Acta Mathematica Sinica. English Series 1 Lobachevskii Journal of Mathematics 1 The ANZIAM Journal 1 Mediterranean Journal of Mathematics 1 Sibirskie Èlektronnye Matematicheskie Izvestiya 1 Stochastics 1 Frontiers of Mathematics in China 1 The College Mathematics Journal 1 Science China. Mathematics ...and 3 more Serials all top 5 Cited in 30 Fields 306 Probability theory and stochastic processes (60-XX) 194 Statistics (62-XX) 12 Numerical analysis (65-XX) 7 Measure and integration (28-XX) 6 Operations research, mathematical programming (90-XX) 4 Combinatorics (05-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Partial differential equations (35-XX) 4 Statistical mechanics, structure of matter (82-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Computer science (68-XX) 2 Special functions (33-XX) 2 Sequences, series, summability (40-XX) 2 Functional analysis (46-XX) 2 Algebraic topology (55-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Number theory (11-XX) 1 Real functions (26-XX) 1 Potential theory (31-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Approximations and expansions (41-XX) 1 Integral equations (45-XX) 1 Operator theory (47-XX) 1 Manifolds and cell complexes (57-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX) 1 Mathematics education (97-XX) Citations by Year