Edit Profile Richter, Wolf-Dieter Compute Distance To: Compute Author ID: richter.wolf-dieter Published as: Richter, W. D.; Richter, W.-D.; Richter, Wolf-Dieter External Links: ORCID Documents Indexed: 67 Publications since 1976 Reviewing Activity: 56 Reviews all top 5 Co-Authors 27 single-authored 5 Schicker, Kay 3 Kalke, Steve 3 Krause, Dorit 3 Müller, Adolf Max Klaus 3 Schumacher, Jens 2 Amosova, N. N. 2 Dietrich, Thomas 2 Ittrich, Carina 2 Stehlík, Milan 2 Steinebach, Josef G. 2 Venz, John 1 Ahmadinezhad, Hamid 1 Arellano-Valle, Reinaldo Boris 1 Batún-Cutz, José 1 Birndt, H. 1 Breitung, Karl W. 1 Economou, Polychronis 1 Fatalov, V. P. 1 González-Farías, Graciela M. 1 Gundlach, Christoph 1 Günzel, Thomas 1 Heinrich, Lothar 1 Henschel, Volkmar 1 Kiseľák, Jozef 1 Liebscher, Eckhard 1 Moszyńska, Maria 1 Müller, Karel 1 Müller, Kaspar 1 Müller, Katharina 1 Pap, Gyula 1 Scheutzow, Stefan 1 Střelec, Luboš 1 Taube, S. 1 Thauer, F. all top 5 Serials 7 Journal of Statistical Distributions and Applications 6 Lithuanian Mathematical Journal 6 Mathematische Nachrichten 4 Journal of Multivariate Analysis 4 Dependence Modeling 3 Rostocker Mathematisches Kolloquium 3 Chilean Journal of Statistics 2 Journal of Mathematical Analysis and Applications 2 Journal of Soviet Mathematics 2 Zeitschrift für Analysis und ihre Anwendungen 2 Statistics 2 Communications in Statistics. Theory and Methods 2 Journal of Statistical Computation and Simulation 2 Litovskiĭ Matematicheskiĭ Sbornik 2 Wissenschaftliche Zeitschrift der Technischen Universität Dresden 2 Journal of Probability and Statistics 1 Metrika 1 Applied Mathematics and Computation 1 Journal of Statistical Planning and Inference 1 Results in Mathematics 1 Studia Scientiarum Mathematicarum Hungarica 1 Statistics & Probability Letters 1 Stochastic Analysis and Applications 1 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 1 Journal of Applied Analysis 1 AStA. Advances in Statistical Analysis 1 Sankhyā. Series B 1 ISRN Geometry all top 5 Fields 48 Probability theory and stochastic processes (60-XX) 37 Statistics (62-XX) 10 Measure and integration (28-XX) 4 Convex and discrete geometry (52-XX) 3 Real functions (26-XX) 3 Geometry (51-XX) 3 Numerical analysis (65-XX) 2 Approximations and expansions (41-XX) 1 Number theory (11-XX) 1 Algebraic geometry (14-XX) 1 Special functions (33-XX) 1 Functional analysis (46-XX) 1 Differential geometry (53-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 47 Publications have been cited 297 times in 73 Documents Cited by ▼ Year ▼ Generalized spherical and simplicial coordinates. Zbl 1143.60017Richter, Wolf-Dieter 32 2007 Continuous \(l_{n,p}\)-symmetric distributions. Zbl 1177.60019Richter, W.-D. 24 2009 Geometric disintegration and star-shaped distributions. Zbl 1330.60028Richter, Wolf-Dieter 18 2014 Reverse triangle inequality. Antinorms and semi-antinorms. Zbl 1299.26042Moszyńska, Maria; Richter, Wolf-Dieter 16 2012 A geometric method in stochastics. Zbl 0752.60002Richter, Wolf-Dieter 13 1991 Laplace-Gauß integrals, Gaussian measure asymptotic behaviour and probabilities of moderate deviations. Zbl 0572.60035Richter, W.-D. 13 1985 Simulation of the \(p\)-generalized Gaussian distribution. Zbl 1431.62017Kalke, S.; Richter, W.-D. 11 2013 On \(l_{2, p}\) -circle numbers. Zbl 1159.28003Richter, W.-D. 11 2008 Geometric generalization of the exponential law. Zbl 1003.60019Henschel, V.; Richter, W.-D. 11 2002 Geometric and stochastic representations for elliptically contoured distributions. Zbl 1277.60032Richter, Wolf-Dieter 10 2013 Convex and radially concave contoured distributions. Zbl 1426.60016Richter, Wolf-Dieter 9 2015 Ellipses numbers and geometric measure representations. Zbl 1276.51009Richter, Wolf-Dieter 9 2011 Probabilities and large quantiles of noncentral generalized chi-square distributions. Zbl 0977.62013Ittrich, C.; Krause, D.; Richter, W.-D. 9 2000 Maximum distributions for \(l_{2,p}\)-symmetric vectors are skewed \(l_{1,p}\)-symmetric distributions. Zbl 1287.60019Batún-Cutz, J.; González-Farías, G.; Richter, W.-D. 7 2013 Linear combinations, products and ratios of simplicial or spherical variates. Zbl 1298.62029Kalke, S.; Richter, W.-D.; Thauer, F. 7 2013 Geometric approach to the skewed normal distribution. Zbl 1348.60017Günzel, Thomas; Richter, Wolf-Dieter; Scheutzow, Stefan; Schicker, Kay; Venz, John 7 2012 Asymptotic expansions for large deviation probabilities of noncentral generalized chi-square distributions. Zbl 0976.60037Richter, W.-D.; Schumacher, J. 7 2000 Extreme value distributions for dependent jointly \(l_{n,p}\)-symmetrically distributed random variables. Zbl 1388.62144Müller, K.; Richter, W.-D. 6 2016 Circle numbers for star discs. Zbl 1218.28002Richter, W.-D. 6 2011 On the \(\pi \)-function for nonconvex \(l_{2,p}\)-circle discs. Zbl 1206.28005Richter, W.-D. 6 2008 A geometric approach to the Gaussian law. Zbl 0842.62038Richter, Wolf-Dieter 6 1995 A geometric approach to an asymptotic expansion for large deviation probabilities of Gaussian random vectors. Zbl 0864.41026Breitung, K.; Richter, W.-D. 5 1996 A geometric approach to finite sample and large deviation properties in two-way ANOVA with spherically distributed error vectors. Zbl 0815.62046Richter, W.-D.; Steinebach, J. 5 1994 Exact inference on scaling parameters in norm and antinorm contoured sample distributions. Zbl 1336.62066Richter, Wolf-Dieter 4 2016 Exact extreme value, product, and ratio distributions under non-standard assumptions. Zbl 1443.60014Müller, Klaus; Richter, Wolf-Dieter 4 2015 On the ball number function. Zbl 1292.28009Richter, Wolf-Dieter 4 2011 Polyhedral star-shaped distributions. Zbl 1431.60016Richter, Wolf-Dieter; Schicker, Kay 3 2017 Ball numbers of platonic bodies. Zbl 1321.52010Richter, Wolf-Dieter; Schicker, Kay 3 2014 Exact tests and confidence regions in nonlinear regression. Zbl 1070.62054Ittrich, C.; Richter, W.-D. 3 2005 Geometric aspects of robust testing for normality and sphericity. Zbl 1361.62031Richter, Wolf-Dieter; Střelec, Luboš; Ahmadinezhad, Hamid; Stehlík, Milan 2 2017 Circle numbers of regular convex polygons. Zbl 1380.52002Richter, Wolf-Dieter; Schicker, Kay 2 2016 Kullback-Leibler life time testing. Zbl 1334.62165Stehlík, Milan; Economou, P.; Kiseľák, Jozef; Richter, Wolf-Dieter 2 2014 On a class of estimators for an exponential tail coefficient with applications in risk theory. Zbl 0811.62041Richter, W.-D.; Steinebach, J.; Taube, S. 2 1993 Gaussian probabilities of large deviation for fixed or increasing dimension. Zbl 0828.60019Fatalov, V.; Richter, W.-D. 2 1992 Zur Restgliedabschätzung im mehrdimensionalen integralen zentralen Grenzwertsatz der Wahrscheinlichkeitstheorie. (On the remainder term estimation in the multidimensional integral central limit theorem in probability theory). Zbl 0657.60031Richter, W.-D. 2 1988 Zum asymptotischen Verhalten der Verteilungen und der Dichten gewisser Funktionale Gauß’scher Zufallsvektoren. (On the asymptotic behaviour of the distributions and densities of certain functionals of Gaussian random vectors). Zbl 0653.60026Pap, G.; Richter, W.-D. 2 1988 Vergleichende Betrachtungen zur Bestimmung des asymptotischen Verhaltens mehrdimensionaler Laplace-Gauß-Integrale. Zbl 0572.60036Birndt, H.; Richter, W.-D. 2 1985 Moderate deviations in special sets of \(R^ k\). Zbl 0531.60030Richter, Wolf-Dieter 2 1983 Wahrscheinlichkeiten großer Abweichungen von Summen unabhängiger, identisch verteilter Zufallsvektoren. Zbl 0414.60031Richter, W.-D. 2 1979 High-dimensional star-shaped distributions. Zbl 07102601Richter, Wolf-Dieter 1 2019 Exact distributions of order statistics of dependent random variables from \(l_{n,p}\)-symmetric sample distributions, \(n\in\{3,4\}\). Zbl 1388.62154Müller, K.; Richter, W.-D. 1 2016 Exact probabilities of correct classifications for uncorrelated repeated measurements from elliptically contoured distributions. Zbl 1036.62052Krause, D.; Richter, W.-D. 1 2004 Geometric approach to evaluating probabilities of correct classification into two Gaussian or spherical categories. Zbl 0817.62049Krause, Dorit; Richter, Wolf-Dieter 1 1994 Laplace method in large deviation theory. Zbl 0721.60030Richter, Wolf-Dieter; Schumacher, Jens 1 1990 The Laplace integral and probabilities of moderate deviations in \(R^ k\). Zbl 0667.60036Richter, W.-D. 1 1987 Large deviations in finite dimensional parallelepipeds. Zbl 0512.60016Richter, W.-D. 1 1982 Über eine Verallgemeinerung des Stieltjesschen Integralbegriffes für Funktionen mehrerer Veränderlicher. Zbl 0412.28004Richter, Wolf-Dieter 1 1976 High-dimensional star-shaped distributions. Zbl 07102601Richter, Wolf-Dieter 1 2019 Polyhedral star-shaped distributions. Zbl 1431.60016Richter, Wolf-Dieter; Schicker, Kay 3 2017 Geometric aspects of robust testing for normality and sphericity. Zbl 1361.62031Richter, Wolf-Dieter; Střelec, Luboš; Ahmadinezhad, Hamid; Stehlík, Milan 2 2017 Extreme value distributions for dependent jointly \(l_{n,p}\)-symmetrically distributed random variables. Zbl 1388.62144Müller, K.; Richter, W.-D. 6 2016 Exact inference on scaling parameters in norm and antinorm contoured sample distributions. Zbl 1336.62066Richter, Wolf-Dieter 4 2016 Circle numbers of regular convex polygons. Zbl 1380.52002Richter, Wolf-Dieter; Schicker, Kay 2 2016 Exact distributions of order statistics of dependent random variables from \(l_{n,p}\)-symmetric sample distributions, \(n\in\{3,4\}\). Zbl 1388.62154Müller, K.; Richter, W.-D. 1 2016 Convex and radially concave contoured distributions. Zbl 1426.60016Richter, Wolf-Dieter 9 2015 Exact extreme value, product, and ratio distributions under non-standard assumptions. Zbl 1443.60014Müller, Klaus; Richter, Wolf-Dieter 4 2015 Geometric disintegration and star-shaped distributions. Zbl 1330.60028Richter, Wolf-Dieter 18 2014 Ball numbers of platonic bodies. Zbl 1321.52010Richter, Wolf-Dieter; Schicker, Kay 3 2014 Kullback-Leibler life time testing. Zbl 1334.62165Stehlík, Milan; Economou, P.; Kiseľák, Jozef; Richter, Wolf-Dieter 2 2014 Simulation of the \(p\)-generalized Gaussian distribution. Zbl 1431.62017Kalke, S.; Richter, W.-D. 11 2013 Geometric and stochastic representations for elliptically contoured distributions. Zbl 1277.60032Richter, Wolf-Dieter 10 2013 Maximum distributions for \(l_{2,p}\)-symmetric vectors are skewed \(l_{1,p}\)-symmetric distributions. Zbl 1287.60019Batún-Cutz, J.; González-Farías, G.; Richter, W.-D. 7 2013 Linear combinations, products and ratios of simplicial or spherical variates. Zbl 1298.62029Kalke, S.; Richter, W.-D.; Thauer, F. 7 2013 Reverse triangle inequality. Antinorms and semi-antinorms. Zbl 1299.26042Moszyńska, Maria; Richter, Wolf-Dieter 16 2012 Geometric approach to the skewed normal distribution. Zbl 1348.60017Günzel, Thomas; Richter, Wolf-Dieter; Scheutzow, Stefan; Schicker, Kay; Venz, John 7 2012 Ellipses numbers and geometric measure representations. Zbl 1276.51009Richter, Wolf-Dieter 9 2011 Circle numbers for star discs. Zbl 1218.28002Richter, W.-D. 6 2011 On the ball number function. Zbl 1292.28009Richter, Wolf-Dieter 4 2011 Continuous \(l_{n,p}\)-symmetric distributions. Zbl 1177.60019Richter, W.-D. 24 2009 On \(l_{2, p}\) -circle numbers. Zbl 1159.28003Richter, W.-D. 11 2008 On the \(\pi \)-function for nonconvex \(l_{2,p}\)-circle discs. Zbl 1206.28005Richter, W.-D. 6 2008 Generalized spherical and simplicial coordinates. Zbl 1143.60017Richter, Wolf-Dieter 32 2007 Exact tests and confidence regions in nonlinear regression. Zbl 1070.62054Ittrich, C.; Richter, W.-D. 3 2005 Exact probabilities of correct classifications for uncorrelated repeated measurements from elliptically contoured distributions. Zbl 1036.62052Krause, D.; Richter, W.-D. 1 2004 Geometric generalization of the exponential law. Zbl 1003.60019Henschel, V.; Richter, W.-D. 11 2002 Probabilities and large quantiles of noncentral generalized chi-square distributions. Zbl 0977.62013Ittrich, C.; Krause, D.; Richter, W.-D. 9 2000 Asymptotic expansions for large deviation probabilities of noncentral generalized chi-square distributions. Zbl 0976.60037Richter, W.-D.; Schumacher, J. 7 2000 A geometric approach to an asymptotic expansion for large deviation probabilities of Gaussian random vectors. Zbl 0864.41026Breitung, K.; Richter, W.-D. 5 1996 A geometric approach to the Gaussian law. Zbl 0842.62038Richter, Wolf-Dieter 6 1995 A geometric approach to finite sample and large deviation properties in two-way ANOVA with spherically distributed error vectors. Zbl 0815.62046Richter, W.-D.; Steinebach, J. 5 1994 Geometric approach to evaluating probabilities of correct classification into two Gaussian or spherical categories. Zbl 0817.62049Krause, Dorit; Richter, Wolf-Dieter 1 1994 On a class of estimators for an exponential tail coefficient with applications in risk theory. Zbl 0811.62041Richter, W.-D.; Steinebach, J.; Taube, S. 2 1993 Gaussian probabilities of large deviation for fixed or increasing dimension. Zbl 0828.60019Fatalov, V.; Richter, W.-D. 2 1992 A geometric method in stochastics. Zbl 0752.60002Richter, Wolf-Dieter 13 1991 Laplace method in large deviation theory. Zbl 0721.60030Richter, Wolf-Dieter; Schumacher, Jens 1 1990 Zur Restgliedabschätzung im mehrdimensionalen integralen zentralen Grenzwertsatz der Wahrscheinlichkeitstheorie. (On the remainder term estimation in the multidimensional integral central limit theorem in probability theory). Zbl 0657.60031Richter, W.-D. 2 1988 Zum asymptotischen Verhalten der Verteilungen und der Dichten gewisser Funktionale Gauß’scher Zufallsvektoren. (On the asymptotic behaviour of the distributions and densities of certain functionals of Gaussian random vectors). Zbl 0653.60026Pap, G.; Richter, W.-D. 2 1988 The Laplace integral and probabilities of moderate deviations in \(R^ k\). Zbl 0667.60036Richter, W.-D. 1 1987 Laplace-Gauß integrals, Gaussian measure asymptotic behaviour and probabilities of moderate deviations. Zbl 0572.60035Richter, W.-D. 13 1985 Vergleichende Betrachtungen zur Bestimmung des asymptotischen Verhaltens mehrdimensionaler Laplace-Gauß-Integrale. Zbl 0572.60036Birndt, H.; Richter, W.-D. 2 1985 Moderate deviations in special sets of \(R^ k\). Zbl 0531.60030Richter, Wolf-Dieter 2 1983 Large deviations in finite dimensional parallelepipeds. Zbl 0512.60016Richter, W.-D. 1 1982 Wahrscheinlichkeiten großer Abweichungen von Summen unabhängiger, identisch verteilter Zufallsvektoren. Zbl 0414.60031Richter, W.-D. 2 1979 Über eine Verallgemeinerung des Stieltjesschen Integralbegriffes für Funktionen mehrerer Veränderlicher. Zbl 0412.28004Richter, Wolf-Dieter 1 1976 all cited Publications top 5 cited Publications all top 5 Cited by 79 Authors 43 Richter, Wolf-Dieter 5 Schicker, Kay 4 Stehlík, Milan 3 Balakrishnan, Narayanaswamy 3 Hashorva, Enkelejd 3 Henschel, Volkmar 3 Müller, Adolf Max Klaus 2 Ittrich, Carina 2 Kalke, Steve 2 Kiseľák, Jozef 2 Korshunov, Dmitry 2 Krause, Dorit 2 Nadarajah, Saralees 2 Piterbarg, Vladimir Il’ich 2 Schumacher, Jens 2 Steinebach, Josef G. 2 Venz, John 1 Ahmadi Javid, Amir 1 Ahmadinezhad, Hamid 1 Ambach, Daniel 1 Arellano-Valle, Reinaldo Boris 1 Bao, Chaohui 1 Batún-Cutz, José 1 Bogachev, Vladimir Igorevich 1 Brito, Margarida 1 Bustin, Ronit 1 Christ, Ralf 1 Dai, Qi 1 Dietrich, Thomas 1 Duby, Tomy 1 Dytso, Alex 1 Economou, Polychronis 1 Foss, Alex 1 Freitas, Ana Cristina Moreira 1 Fúquene, Jairo A. 1 Gnedin, Alexander V. 1 González-Farías, Graciela M. 1 Grama, Ion G. 1 Guglielmi, Nicola 1 Günzel, Thomas 1 Hansen, Gerd 1 Häusler, Erich 1 He, Pingan 1 Heching, Aliza 1 Herburt, Irmina 1 Ishimura, Naoyuki 1 Jamalizadeh, Ahad 1 Jarušková, Daniela 1 Kupka, Ivan A. K. 1 Liebscher, Eckhard 1 Liu, Xiaoqing 1 Markatou, Marianthi 1 Martini, Helmut 1 Minculete, Nicusor 1 Moeini, Asghar 1 Moszyńska, Maria 1 Müller, Karel 1 Müller, Kaspar 1 Müller, Katharina 1 Nolan, John P. 1 Păltănea, Radu 1 Pérez, María Eglée 1 Pericchi, Luis Raul 1 Poor, Harold Vincent 1 Rau, Christian 1 Ray, Bonnie K. 1 Salazar, Ledys 1 Saulis, L. I. 1 Saulis, Leonas 1 Scheutzow, Stefan 1 Shamai (Shitz), Shlomo 1 Střelec, Luboš 1 Tao, Jin 1 Thauer, F. 1 Wimmer, Gejza 1 Witkovský, Viktor 1 Yang, Siqian 1 Yoshizawa, Yasukazu 1 Zennaro, Marino all top 5 Cited in 37 Serials 8 Lithuanian Mathematical Journal 8 Journal of Statistical Distributions and Applications 4 Journal of Multivariate Analysis 4 Statistics & Probability Letters 4 Statistics 4 Dependence Modeling 3 Journal of Statistical Planning and Inference 3 Chilean Journal of Statistics 2 Journal of Mathematical Analysis and Applications 2 Metrika 2 Insurance Mathematics & Economics 2 Communications in Statistics. Theory and Methods 2 Journal of Statistical Computation and Simulation 2 Journal of Probability and Statistics 1 Mathematical Notes 1 Applied Mathematics and Computation 1 Information Sciences 1 Journal of Soviet Mathematics 1 Kybernetika 1 Mathematische Nachrichten 1 Results in Mathematics 1 Stochastic Analysis and Applications 1 Journal of Theoretical Probability 1 Machine Learning 1 Aequationes Mathematicae 1 Linear Algebra and its Applications 1 Journal of Mathematical Sciences (New York) 1 Journal of Applied Analysis 1 Journal of Inequalities and Applications 1 Journal of Applied Statistics 1 Extremes 1 Brazilian Journal of Probability and Statistics 1 Journal of Statistical Theory and Practice 1 AStA. Advances in Statistical Analysis 1 Sankhyā. Series B 1 ISRN Geometry 1 Journal of Theoretical Biology all top 5 Cited in 19 Fields 45 Statistics (62-XX) 42 Probability theory and stochastic processes (60-XX) 11 Measure and integration (28-XX) 6 Numerical analysis (65-XX) 5 Convex and discrete geometry (52-XX) 3 Geometry (51-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Real functions (26-XX) 2 Functional analysis (46-XX) 2 Computer science (68-XX) 1 Number theory (11-XX) 1 Algebraic geometry (14-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Special functions (33-XX) 1 Approximations and expansions (41-XX) 1 Integral transforms, operational calculus (44-XX) 1 Operator theory (47-XX) 1 Differential geometry (53-XX) 1 Biology and other natural sciences (92-XX) Citations by Year