Edit Profile (opens in new tab) Wichura, Michael J. Compute Distance To: Compute 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 414 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 419 times in 394 Documents Cited by ▼ Year ▼ Convergence criteria for multiparameter stochastic processes and some applications. Zbl 0265.60011Bickel, P. J.; Wichura, M. J. 229 1971 Inequalities with applications to the weak convergence of random processes with multi-dimensional time parameters. Zbl 0214.17701Wichura, M. J. 54 1969 Some Strassen-type laws of the iterated logarithm for multiparameter stochastic processes with independent increments. Zbl 0288.60030Wichura, Michael J. 50 1973 On the construction of almost uniformly convergent random variables with given weakly convergent image laws. Zbl 0218.60005Wichura, Michael J. 18 1970 Functional laws of the iterated logarithm for the partial sums of i.i.d. random variables in the asymmetric stable law. Zbl 0325.60029Wichura, Michael J. 15 1974 Invariance principles for stochastic area and related stochastic integrals. Zbl 0523.60014Janson, 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 0304.60018Wichura, Michael J. 11 1974 A note on the weak convergence of stochastic processes. Zbl 0268.60026Wichura, M. J. 11 1971 Sharpening Buffon’s needle. Zbl 0332.62026Perlman, Michael D.; Wichura, Michael J. 5 1975 The coordinate-free approach to linear models. Zbl 1118.62070Wichura, Michael J. 3 2006 Boundary crossing probabilities associated with Motoo’s law of the iterated logarithm. Zbl 0281.60023Wichura, Michael J. 3 1973 Estimation of first crossing time distribution for N-parameter Brownian motion processes relative to upper class boundaries. Zbl 0577.60077Sen, Pradip Kumar; Wichura, Michael J. 2 1984 A note on substitution in conditional distribution. Zbl 0323.62009Perlman, Michael D.; Wichura, Michael J. 1 1975 Estimation of first crossing time distribution for Brownian motion processes relative to upper class boundaries. Zbl 0579.60029Sen, Pradip Kumar; Wichura, Michael J. 1 1984 A note on the convergence of series of stochastic processes. Zbl 0281.60046Wichura, M. J. 1 1973 The convergence rate for the strong law of large numbers: General lattice distributions. Zbl 0643.60024Fill, James Allen; Wichura, Michael J. 1 1989 On the probability of a symmetric stable process crossing a bottom outer boundary. Zbl 0381.60024Wichura, Michael J. 1 1979 The coordinate-free approach to linear models. Zbl 1118.62070Wichura, Michael J. 3 2006 The convergence rate for the strong law of large numbers: General lattice distributions. Zbl 0643.60024Fill, James Allen; Wichura, Michael J. 1 1989 Invariance principles for stochastic area and related stochastic integrals. Zbl 0523.60014Janson, Svante; Wichura, Michael J. 13 1984 Estimation of first crossing time distribution for N-parameter Brownian motion processes relative to upper class boundaries. Zbl 0577.60077Sen, Pradip Kumar; Wichura, Michael J. 2 1984 Estimation of first crossing time distribution for Brownian motion processes relative to upper class boundaries. Zbl 0579.60029Sen, Pradip Kumar; Wichura, Michael J. 1 1984 On the probability of a symmetric stable process crossing a bottom outer boundary. Zbl 0381.60024Wichura, Michael J. 1 1979 Sharpening Buffon’s needle. Zbl 0332.62026Perlman, Michael D.; Wichura, Michael J. 5 1975 A note on substitution in conditional distribution. Zbl 0323.62009Perlman, 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 0325.60029Wichura, Michael J. 15 1974 On the functional form of the law of the iterated logarithm for the partial maxima of independent identically distributed random variables. Zbl 0304.60018Wichura, Michael J. 11 1974 Some Strassen-type laws of the iterated logarithm for multiparameter stochastic processes with independent increments. Zbl 0288.60030Wichura, Michael J. 50 1973 Boundary crossing probabilities associated with Motoo’s law of the iterated logarithm. Zbl 0281.60023Wichura, Michael J. 3 1973 A note on the convergence of series of stochastic processes. Zbl 0281.60046Wichura, M. J. 1 1973 Convergence criteria for multiparameter stochastic processes and some applications. Zbl 0265.60011Bickel, P. J.; Wichura, M. J. 229 1971 A note on the weak convergence of stochastic processes. Zbl 0268.60026Wichura, M. J. 11 1971 On the construction of almost uniformly convergent random variables with given weakly convergent image laws. Zbl 0218.60005Wichura, Michael J. 18 1970 Inequalities with applications to the weak convergence of random processes with multi-dimensional time parameters. Zbl 0214.17701Wichura, M. J. 54 1969 all cited Publications top 5 cited Publications all top 5 Cited by 451 Authors 11 Horváth, Lajos 7 Ivanoff, B. Gail 6 Gut, Allan 6 Pang, Guodong 5 Bouzebda, Salim 5 Rémillard, Bruno N. 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 Giraudo, Davide 4 Hidalgo, Javier 4 Leipus, Remigijus 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 Huh, Jib 3 Jolis, Maria 3 Khoshnevisan, Davar 3 Klesov, Oleg I. 3 Kuelbs, James D. 3 Marinucci, Domenico 3 McKeague, Ian W. 3 Mikosch, Thomas 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 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 Gombay, Edit 2 Heinrich, Lothar 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 Krebs, Johannes T. N. 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 Quessy, Jean-François 2 Račkauskas, Alfredas Yurgevich 2 Révész, Pál 2 Richardson, Gary D. 2 Robertson, Jack M. 2 Roknossadati, S. M. ...and 351 more Authors all top 5 Cited in 96 Serials 35 Stochastic Processes and their Applications 31 Statistics & Probability Letters 30 Journal of Multivariate Analysis 29 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 12 Journal of Theoretical Probability 11 Journal of Econometrics 10 The Annals of Statistics 7 Metrika 7 Communications in Statistics. Theory and Methods 6 Econometric Theory 5 Annals of the Institute of Statistical Mathematics 5 Kybernetika 5 Statistics 5 Queueing Systems 5 Journal of Nonparametric Statistics 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 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 Stochastic Analysis and Applications 2 Acta Mathematica Hungarica 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 Moscow University Mathematics Bulletin 1 Rocky Mountain Journal of Mathematics 1 Annales Scientifiques de l’Université de Clermont-Ferrand II. Mathématiques 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 Statistical Science 1 Annales Scientifiques de l’Université Blaise Pascal Clermont-Ferrand II. Probabilités et Applications 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 Bulletin des Sciences Mathématiques 1 Lifetime Data Analysis 1 Doklady Mathematics 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 1 Sankhyā. Series A all top 5 Cited in 27 Fields 295 Probability theory and stochastic processes (60-XX) 190 Statistics (62-XX) 12 Numerical analysis (65-XX) 7 Measure and integration (28-XX) 6 Operations research, mathematical programming (90-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Computer science (68-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Combinatorics (05-XX) 2 Partial differential equations (35-XX) 2 Sequences, series, summability (40-XX) 2 Functional analysis (46-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 Special functions (33-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Approximations and expansions (41-XX) 1 Operator theory (47-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX) 1 Mathematics education (97-XX) Citations by Year