Publications Wolf-Dieter Richter:

• (1976). Über eine Verallgemeinerung des Stieltjes'schen Integralbegriffes für Funktionen mehrerer Veränderlicher. Wiss. Zeitschr. TU Dresden 25, 4, 793-798.
• (1978). Über Wahrscheinlichkeiten großer Abweichungen standardisierter Summen unabhängiger Zufallsvektoren. Math. Nachr. 84, 345-358.
• (1979). Wahrscheinlichkeiten großer Abweichungen von Summen unabhängiger, identisch verteilter Zufallsvektoren. Liet. mat. rink. 19, 3, 55-68. (Transl.: Probabilities of large deviations of sums of independent identically distributed random vectors. Lithuanian Math.J. 19, 3, 333-343.)
• mit N. N. Amosova (1981). Ein Grenzwertsatz für mittlere Abweichungen von Dichten im R^k. Wiss. Zeitschr. TU Dresden, 30,4, 121-124.
• (1982-1). Bolschije uklonenija v konjetschnomernych parallelepipedach. (Große Abweichungen in endlichdimensionalen Parallelepipeden). Liet. mat. rink. 22, 3, 162-169 (russisch).
• mit N. N. Amosova (1982-2). Umerennye uklonenija dlja plotnostje v R^k. Sapiski nautschnych seminarov LOMI 119, 7-13 (russisch).( Transl.: Moderate deviations for densities in R^k. Journal of Mathematical Sciences, 27, 5, 1984. DOI: 10.1007/BF01843543)
• (1983). Moderate deviations in special sets of R^k. Math. Nachr. 113, 339-354.
• mit L. Heinrich (1984). On moderate deviations of sums of m-dependent random vectors. Math. Nachr. 118, 253-263.
• (1985-1). Laplace-Gauß integrals, Gaussian measure asymptotic behaviour and probabilities of moderate deviations. Z. Anal. Anw. 4, 3, 257-267.
• mit H. Birndt (1985-2). Vergleichende Betrachtungen zur Bestimmung des asymptotischen Verhaltens mehrdimensionaler Laplace-Gauß Integrale. Z. Anal. Anw. 43, 3, 269-276.
• (1985-3). Remark on moderate deviations in the multidimensional central limit theorem. Math. Nachr. 122,167-173.
• (1985-4). Gauß'sche Wahrscheinlichkeiten großer Abweichungen im Banachraum l_p. Wiss. Zeitschr. TU Dresden 34, 4, 60.
• (1985-5). Wahrscheinlichkeiten mittlerer Abweichungen im R^k. Wiss. Zeitschr. TU Dresden 34, 4, 66.
• (1985-6). Remainder term estimation in the multidimensional central limit theorem. IVth International Vilnius Conference on Prob. and Math. Stat., Vilnius1985, vol.IV,248-249. 34, 4, 66.
• mit G. Staudinger (1985-7). Anwendung einer neuen Methode zur Bestimmung von Wahrscheinlichkeiten der zweidimensionalen Normalverteilung in der Elektrotechnik-Elektronik. Wiss. Beiträge IHS Wismar, Sonderheft 3/85, 49-50.
• (1986-1). Integral Laplasa i verojatnosti umerennych ukolenii v R^k. V kn.: Verojantnostnye raspredelenija i matematitscheskaja statistika. (Laplace-Integral und Wahrscheinlichkeiten mittlerer Abweichungen im R^k. In: Wahrscheinlichkeitsverteilungen und Mathematische Statistik). Tashkent: Iso.-vo `Fan',(russisch), 406-420.
• (1986-2). Umerennye uklonenija dlja odnogo klassa mnoschestv v konjetschnomernom prostranstve. (Mittlere Abweichungen für eine Klasse von Mengen im endlichdimensionalen Raum). Teorija verojatn. primen. 31, 1, 174-175 (russisch).
• (1987). Multidimensional narrow integral domains of normal attraction. In: Limit theorems in probability and related fields. TU Dresden, 163-184.
• (1988-1). Zur Restgliedabschätzung im mehrdimensionalen integralen Zentralen Grenzwertsatz der Wahrscheinlichkeitstheorie. Math. Nachr. 135, 103-117.
• mit G. Pap (1988-2). Zum asymptotischen Verhalten der Dichten gewisser Funktionale Gaußscher Zufallvektoren. Math. Nachr. 135, 119-124.
• (1988-3). Exact distributions of sample functions in exponential regression. 18th European Meeting of Statisticians. Abstract of Comm., 210.
• mit J. Davids (1988-4). Exact mean value test for two parameter exponential distribution. 18th European Meeting of Statisticians. Abstract of Comm., 83 .
• mit C. Gundlach (1990-1). Asymptotic quantil approximation for Student's t-distribution. Rostock. Math. Kolloq. 42 53-58.
• mit J. Schumacher (1990-2). Laplace method in large deviation theory. Rostock. Math. Kolloq. 42, 59-68.
• (1990-3). Multidimensional domains of large deviations. In: Colloquia Mathematica Societatis Janos Bolyai 57. Limit Theorems in Probability and Statistics. Pecs, 1989, 443-458.
• mit J. Davids (1991-1). Exakter Test für erwartete Lebensdauer bei unbekannter Mindestlebensdauer. Z. Klin. Med. 46, 783-785.
• (1991-2). Eine geometrische Methode in der Stochastik. Rostock. Math. Kolloq. 44,63-72.
• mit V. V. Ulyanov (1991-3). Two side estimates for the Gaussian measure of the complements of balls in Hilbert space (in Russian). Probability Theory Appl. 36, 4, 805-806.
• mit V. Fatalov (1992). Gaussian probabilities of large deviations for fixed and increasing dimensions. Journal of Contemporary Mathematical Analysis 27, 1, 1-16.
• mit J. Steinebach und S. Taube (1993). On a class of estimators for an exponential tail coefficient with applications in risk theory. Statistics & Decision, Suppl. Issue No.3, 145-173.
• mit D. Krause (1994-1). Geometric approach to evaluating probabilities of correct classification into two Gaussian or spherical categories. In: H. H. Bock, W. Lenski and M. M. Richter (Eds.): Information Systems and Data Analysis, Springer Verlag, Berlin, 242-250.
• mit J. Steinebach (1994-2). A geometric approach to finite sample and large deviation properties in two-way ANOVA with spherically distributed error vectors. Metrika 41, 325-353.
• mit D. Krause (1994-3). Probabilities of correct classification. Selection procedure II. FBN Schriftreihe, 26-31.
• (1994-4). Geometric approach to evaluating probabilities of correct selection for spherically distributed samples. Selection procedure II. FBN Schriftreihe, 42-51.
• (1995-1). A geometric approach to the Gaussian law. In: Symposia Gaussiana, Conf. B, Eds.: Mammitzsch /Schneeweiß. Walter de Gruyter & Co., Bln., 25-45.
• (1995-2). Eine geometrische und eine asymptotische Methode in der Statistik. Universität Bremen, Mathematik- Arbeitspapiere Nr. 44, 2-10.
• mit K. Breitung (1996). A geometric approach to an asymptotic expansion for large deviation probabilities of Gaussian random vectors. J. Mult. Anal. 58, 1, 1-20. W-DR1996
• (1997). Approximating large quantiles.Preprint 97/5 University of Rostock, Mathematical Department. W-DR1997
• mit J. Schumacher (1999-1). Two dimensional asymptotic expansions for large deviations of spherically distributed random vectors if the dominating point degenerates asymptotically. Lithuanian Math.J., 39, 4, 432-445. (Liet. Mat. Rink. 39, 4, 546-562.) W-DR1999-1
• (1999-2). Classification for repeated measurements in Gaussian and related populations. In: W. Gaul, H. Locarek-Junge (Eds.), Classification in the Information Age. Springer-Verlag, Berlin, 241-251. W-DR1999-2
• mit J. Schumacher (2000-1). Asymptotic expansions for large deviation probabilities of noncentral generalized chi-square distributions. J. Mult. Anal. 75, 184-218. W-DR2000-1
• with C. Ittrich and D. Krause (2000-2). Probabilities and large quantiles of noncentral generalized chi-square distributions. Statistics 34, 53-101. W-DR2000-2
• (2001). Representation formulae for probabilities of correct classification. In: Ch. A. Charalambides, M. V. Koutras and N. Balakrishnan (Eds.), Probability and Statistical Models with Applications, 517-535. W-DR2001
• with V. Henschel (2002-1). Geometric generalization of the exponential law. J. Mult. Anal., 81, 189-204. doi:10.1006/jmva.2001.2001 W-DR2002-1
• (2002-2). Central limit theorem for probabilities of correct classification. In W. Gaul and G. Ritter (Eds.), Classification, Automation, and New Media, Springer-Verlag, 123-130.W-DR2002-2
• with D. Krause (2004). Exact probabilities of correct classifications for uncorrelated repeated measurements from elliptically contoured distributions. J. Mult. Anal., 89, 36-69. W-DR2004
• with C. Ittrich (2005). Exact tests and confidence regions in nonlinear regression. Statistics, 39, 13-42.W-DR2005
• (2007). Generalized spherical and simplicial coordinates. J. Math. Anal. Appl. 336, 1187-1202. doi:10.1016/j.jmaa.2007.03.047 W-DR2007
• (2008-1). On l_2,p-circle numbers. Lithuanian Math. J., 48, 2, 228-234. doi:10.1007/s10986-008-9002-z W-DR2008-1
• (2008-2). On the Pi-function for nonconvex l_2,p-circle discs. Lithuanian Math. J., 48, 3, 332-338. W-DR2008-2
• (2009). Continuous l_n,p-symmetric distributions. Lithuanian Math. J., 49, 1, 93-108. doi:10.1007/s10986-009-9030-3 W-DR2009
• (2011-1). Circle numbers for star discs. ISRN Geometry, Article ID 479262, 16 pages. doi:10.5402/2011/479262 W-DR2011-1
• (2011-2). On the ball number function. Lithuanian Math. J., 51, 3, 440-449. doi:10.1007/s10986-011-9138-0 W-DR2011-2
• (2011-3). Ellipses numbers and geometric measure representations. Journal of Applied Analysis 17, 165-179. doi: 10.1515/JAA.2011.011 W-DR2011-3
• with M. Moszy´nska (2012-1). Reverse triangle inequality. Antinorms and semi-antinorms. Studia Scientiarum Mathematicarum Hungarica 49 (1), 120-138. doi: 10.1556/SScMath.49.2012.1.1192 W-DR2012-1
• with R.B.Arellano-Valle.(2012-2) On skewed continuous l_{n,p}-symmetric distributions. Chil J Stat, 3(2): 193-212. W-DR2012-2
• with T. Günzel, S. Scheutzow, K. Schicker and J.Venz (2012-3). Geometric approach to the skewed normal distribution. J. Statist. Planning and Inference, 142(12),3209–3224. W-DR2012-3
• (2012-4). Exact distributions under non-standard model assumptions. AIP Conf. Proc. 1479, 442(2012); doi: 10.1063/1.4756160 W-DR2012-4
• with S. Kalke and F. Thauer (2013-1). Linear combinations, products and ratios of simplicial or spherical variates. Communications in Statistics: Theory and Methods, 42:3, 505-527. W-DR2013-1
• with S. Kalke (2013-2). Simulation of the p-generalized Gaussian distribution. Journal of Statistical Computation and Simulation, 83:4, 639-665. W-DR2013-2
• (2013-3). Geometric and stochastic representations for elleptically contoured distributions. Communications in Statistics: Theory and Methods, 42:4, 579-602. doi:10.1080/03610926.2011.611320 W-DR2013-3
• with J. L. Batun-Cútz and G. Gonzalez-Farías (2013-4). Maximum distributions for l_{2,p}-symmetric vectors are skewed l_{1,p}-symmetric distributions. Statistics and Probability Letters 83, 2260-2268. W-DR2013-4
• with T. Dietrich and S. Kalke (2013-5). Stochastik representations and a geometric parametrization of the two-dimensional Gaussian law. Chil J Stat, 4:2, 27-59. W-DR2013-5
• (2014-1). Classes of standard Gaussian random variables and their generalizations. Essays in Honour of Professor Seppo Pynnönen. Acta Wasaensia 296, Statistics 7, 53-69 W-DR2014-1
• (2014-2). Geometric disintegration and star-shaped distributions. Journ. Statist. Distrib. Appl. 2014, 1:20, 24 pages. W-DR2014-2
• with K. Schicker (2014-3). Ball numbers of platonic bodies. J Math. Anal. Appl. 416, 783-799. doi:10.1016/j.jmaa.2014.03.007W-DR2014-3
• with M.Stehlik, P. Economou and J.Kiselak (2014-4). Kullback-Leibler life testing. Appl. Math. and Computation 240, 122-139. W-DR2014-4
• with J. Venz (2014-5). Geometric representations of multivariate skewed elliptically contoured distributions. Chilean Journ. Statist. 5, 2, 71-90. W-DR2014-5
• with K. Müller (2015-1). Exact extreme value, product and ratio distributions under non-standard assumptions. AStA Adv. in Statist. Anal., 99, (1), 1-30. W-DR2015-1
• (2015-2). Norm contoured distributions in R^2. Lecture Notes of Seminario Interdisciplinare di Matematica, Vol. 12, 179-199. W-DR2015-2
• (2015-3). Convex and radially concave contoured distributions. Journal of Probability and Statistics 2015, Article ID 165468, 12 pages, doi:10.1155/2015/165468. W-DR2015-3
• with K. Müller (2016-1). Exact distributions of order statistics of dependent random variables from l_{n,p}-symmetric sample distributions, n=3,4 . Depend. Model. 2016; 4:1-29. DOI 10.1515/demo-2016-0001 W-DR2016-1
• with K. Müller (2016-2). Extreme value distributions for dependent jointly l_{n,p}-symmetrically distributed random variables. Depend. Model. 2016; 4:30-62. DOI 10.1515/demo-2016-0002 W-DR2016-2
• (2016-3). Skewness-kurtosis adjusted confidence estimators and significance tests. Journal of Statistical Distributions and Applications (2016)3:4, DOI 10.1186/s40488-016-0042-3. W-DR2016-3
• (2016-4). Skewness-kurtosis controlled higher order equivalent decisions. The Open Statistics & Probability Journal,2016,7,1-9. DOI 10.2174/1876527001607010001 W-DR2016-4
• (2016-5). Exact inference on scaling parameters in norm and antinorm contoured sample distributions. Journal of Statistical Distributions and Applications (2016)3:8, DOI 10.1186/s40488-016-0046-z W-DR2016-5
• with K. Schicker (2016-6). Circle numbers of regular convex polygons. Results in Mathematics. 69, 521-538. DOI 10.1007/s00025-016-0534-y. W-DR2016-6
• (2016-7). Star-shaped distributions: Euclidean and non-Euclidean representations. Proceedings of the 60th World Statistics Congress, 2015, Rio de Janeiro. W-DR2016-7
• (2016-8a). Representing continuous star-shaped probability measures in spaces with suitably constructed geometries. AIP Conf. Proc. 1738, 190002(2016); doi: 10.1063/1.4951969 W-DR2016-8a
• with C.A. Coelho and F.J. Marques (2016-8b) . Preface of the ''5th Symposium on Distribution Theory, Estimation and Inference''. AIP Conf. Proc. 1738, 190001(2016); DOI 10.1063/1.4951968. W-DR2016-8b
• with E. Liebscher (2016-9). Estimation of star-shaped distributions. risks 4, 44, 37p. DOI 10.3390/risks4040044. www.mdpi.com/journal/risks
• with K. Müller (2017-1). Modelling extremal data. Journal of Statistical Computation and Simulation 87, 5, 933-955. DOI 10.1080/00949655.2016.1238089.
• with L. Strelec, H. Ahmadinezhad and M. Stehlik (2017-2). Geometric aspects of robust testing for normality and sphericity. Stochastic Analysis and Applications vol. 35, no. 3, 511-532. Online first 06 February 2017.
• with K. Schicker (2017-3). Polyhedral star-shaped distributions. Journal of Probability and Statistics, vol. 2017, Article ID 7176897, 23 pages, 2017. https://doi.org/10.1155/2017/7176897. Online first November 2016.
• with K. Schicker (2017-4). Simulation of polyhedral convex contoured distributions. Journal of Statistical Distributions and Applications (2017), 4:1, 19 pages. doi:10.1186/s40488-017-0055-6.
• with T. Dietrich (2017-5). Classes of geometrically generalized von Mises distributions. Sankhya, (2017) 79-B, Part 1; 21-59, DOI:10.1007/s13571-016-0118-6. Online First 04 May 2016 W-DR2016-9
• (2017-6). Simulation of geometrically generalized von Mises distributions. IEEE Xplore, (2017) 20th Int. Conf on Information Fusion (Fusion), 6 pages, DOI:10.239/ICIF.2017.8009683.
• (2017-7). The class of (p,q)-spherical distributions with an extension of the sector and circle number functions. risks 2017, 3,40, 17 pages, DOI:103390/risks5030040. http://www.mdpi.com/2227-9091/5/3/40.
• with K.Müller (2017-8). Exact distributions of order statistics from l_{n,p}-symmetric sample distributions. Depend. Model. 2017; 5:221-245. https://doi.org/10.1515/demo-2017-0013.
• (2017-9). Statistical reasoning in dependent p-generalized elliptically contoured distributions and beyond. Journal of Statistical Distributions and Applications (2017), 4:21, 19 pages. doi:10.1186/s40488-017-0074-3.