Edit Profile (opens in new tab) Heinrich, Lothar Co-Author Distance Author ID: heinrich.lothar Published as: Heinrich, Lothar; Heinrich, L. Homepage: https://www.uni-augsburg.de/de/fakultaet/mntf/math/prof/emeriti/heinrich/ External Links: MGP Documents Indexed: 96 Publications since 1980, including 2 Additional arXiv Preprints 1 Further Contribution Reviewing Activity: 129 Reviews Co-Authors: 30 Co-Authors with 45 Joint Publications 519 Co-Co-Authors all top 5 Co-Authors 52 single-authored 8 Schmidt, Volker 3 Klein, Stella 3 Muche, Lutz 3 Pawlas, Zbyněk 3 Pukelsheim, Friedrich 3 Schmidt, Hendrik 3 Schwingenschlögl, Udo 3 Werner, Michael 3 Wolf, Werner 2 Böhm, Stephan 2 Bräu, Christian 2 Flimmel, Daniela 2 Lück, Sebastian 2 Molchanov, Ilya S. 2 Richter, Wolf-Dieter 2 Spiess, Malte 1 Amosova, N. N. 1 Appelt, Mirjam 1 Christoph, Gerd 1 Götze, Friedrich 1 Hipp, Christian 1 Körner, Ralf 1 Liebscher, Eckhard 1 Lorz, Udo 1 Macht, Wolfgang 1 Mehlhorn, N. 1 Mikosch, Thomas 1 Moser, Martin 1 Nollau, Volker 1 Paditz, Ludwig 1 Prokešová, Michaela 1 Sasvári, Zoltán 1 Sazonov, Vyacheslav Vasil’evich 1 Schüle, Eik 1 Schwandtke, Annette 1 Siegel, Gerhard 1 Stoyan, Dietrich Kurt 1 Ul’yanov, Vladimir Vasil’evich 1 Wachtel, Vitali I. all top 5 Serials 23 Mathematische Nachrichten 9 Statistics 6 Lithuanian Mathematical Journal 5 Advances in Applied Probability 4 Metrika 2 Monatshefte für Mathematik 2 Statistics & Decisions 2 The Annals of Applied Probability 2 Elemente der Mathematik 2 Litovskiĭ Matematicheskiĭ Sbornik 2 Bernoulli 2 Journal of Nonparametric Statistics 2 Methodology and Computing in Applied Probability 1 Scandinavian Journal of Statistics 1 Journal of Multivariate Analysis 1 Mathematische Operationsforschung und Statistik. Series Statistics 1 Statistica Neerlandica 1 Yokohama Mathematical Journal 1 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 1 Soviet Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 1 Zeitschrift für Analysis und ihre Anwendungen 1 Statistics & Probability Letters 1 Acta Applicandae Mathematicae 1 Communications in Statistics. Stochastic Models 1 Optimization 1 Applications of Mathematics 1 Elektronische Informationsverarbeitung und Kybernetik 1 Serdica 1 Mathematical Methods of Statistics 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Australian & New Zealand Journal of Statistics 1 Statistical Inference for Stochastic Processes 1 Image Analysis & Stereology 1 Stochastics 1 Advances and Applications in Statistical Sciences 1 Statistics & Risk Modeling all top 5 Fields 87 Probability theory and stochastic processes (60-XX) 33 Statistics (62-XX) 5 Number theory (11-XX) 5 Convex and discrete geometry (52-XX) 4 Numerical analysis (65-XX) 3 Dynamical systems and ergodic theory (37-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Group theory and generalizations (20-XX) 1 Real functions (26-XX) 1 Special functions (33-XX) 1 Sequences, series, summability (40-XX) 1 Approximations and expansions (41-XX) 1 Integral transforms, operational calculus (44-XX) 1 Geometry (51-XX) 1 Differential geometry (53-XX) 1 Algebraic topology (55-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Operations research, mathematical programming (90-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 72 Publications have been cited 566 times in 314 Documents Cited by ▼ Year ▼ Normal convergence of multidimensional shot noise and rates of this convergence. Zbl 0609.60036 Heinrich, Lothar; Schmidt, Volker 44 1985 Central limit theorem for a class of random measures associated with germ-grain models. Zbl 0941.60025 Heinrich, Lothar; Molchanov, Ilya S. 41 1999 A method for the derivation of limit theorems for sums of m-dependent random variables. Zbl 0492.60028 Heinrich, Lothar 39 1982 Asymptotic Gaussianity of some estimators for reduced factorial moment measures and product densities of stationary Poisson cluster processes. Zbl 0666.62032 Heinrich, L. 25 1988 Mixing properties and central limit theorem for a class of non-identical piecewise monotonic \(C^ 2\)-transformations. Zbl 0863.60023 Heinrich, Lothar 23 1996 Rates of convergence in stable limit theorems for sums of exponentially \(\psi\)-mixing random variables with an application to the metric theory of continued fractions. Zbl 0631.60020 Heinrich, L. 21 1987 Large deviations of the empirical volume fraction for stationary Poisson grain models. Zbl 1067.60002 Heinrich, Lothar 19 2005 Normal approximation for some mean-value estimates of absolutely regular tessellations. Zbl 0824.60011 Heinrich, Lothar 18 1994 Central limit theorems for Poisson hyperplane tessellations. Zbl 1132.60023 Heinrich, Lothar; Schmidt, Hendrik; Schmidt, Volker 16 2006 Asymptotic methods in statistics of random point processes. Zbl 1296.62163 Heinrich, Lothar 16 2013 On existence and mixing properties of germ-grain models. Zbl 0811.60034 Heinrich, L. 14 1992 Non-uniform estimates, moderate and large deviations in the central limit theorem for m-dependent random variables. Zbl 0572.60031 Heinrich, Lothar 13 1985 Asymptotic behaviour of an empirical nearest-neighbour distance function for stationary Poisson cluster processes. Zbl 0653.60041 Heinrich, Lothar 12 1988 Second-order properties of the point process of nodes in a stationary Voronoi tessellation. Zbl 1144.60007 Heinrich, Lothar; Muche, Lutz 12 2008 Non-uniform estimates and asymptotic expansions of the remainder in the central limit theorem for m-dependent random variables. Zbl 0558.60026 Heinrich, Lothar 12 1984 Berry-Esseen bounds and Cramér-type large deviations for the volume distribution of Poisson cylinder processes. Zbl 1186.60017 Heinrich, L.; Spiess, M. 10 2009 Some bounds of cumulants of m-dependent random fields. Zbl 0723.60026 Heinrich, Lothar 10 1990 Central limit theorems for volume and surface content of stationary Poisson cylinder processes in expanding domains. Zbl 1282.60012 Heinrich, Lothar; Spiess, Malte 10 2013 On estimating the asymptotic variance of stationary point processes. Zbl 1197.62122 Heinrich, Lothar; Prokešová, Michaela 10 2010 Goodness-of-fit tests for the second moment function of a stationary multidimensional Poisson process. Zbl 0809.62075 Heinrich, L. 9 1991 On stationary multiplier methods for the rounding of probabilities and the limiting law of the Sainte-Laguë divergence. Zbl 1092.60012 Heinrich, Lothar; Pukelsheim, Friedrich; Schwingenschlögl, Udo 8 2005 Strong convergence of kernel estimators for product densities of absolutely regular point processes. Zbl 0884.60041 Heinrich, Lothar; Liebscher, Eckhard 8 1997 Central limit theorem for the integrated squared error of the empirical second-order product density and goodness-of-fit tests for stationary point processes. Zbl 1277.60085 Heinrich, Lothar; Klein, Stella 7 2011 Asymptotic properties of minimum contrast estimators for parameters of Boolean models. Zbl 0786.62038 Heinrich, Lothar 7 1993 Weak and strong convergence of empirical distribution functions from germ-grain processes. Zbl 1151.62039 Heinrich, Lothar; Pawlas, Zbyněk 7 2008 Gaussian limits of empirical multiparameter \(K\)-functions of homogeneous Poisson processes and tests for complete spatial randomness. Zbl 1319.60068 Heinrich, Lothar 7 2015 Absolute regularity and Brillinger-mixing of stationary point processes. Zbl 1291.60100 Heinrich, Lothar; Pawlas, Zbyněk 7 2013 A method for the derivation of limit theorems for sums of weakly dependent random variables: A survey. Zbl 0631.60023 Heinrich, L. 6 1987 Asymptotic expansions in the central limit theorem for a special class of \(m\)-dependent random fields. I. Zbl 0668.60026 Heinrich, Lothar 6 1987 Sainte-Laguë’s chi-square divergence for the rounding of probabilities and its convergence to a stable law. Zbl 1068.60029 Heinrich, Lothar; Pukelsheim, Friedrich; Schwingenschlögl, Udo 6 2004 Asymptotic properties of estimators for the volume fractions of jointly stationary random sets. Zbl 1061.62150 Böhm, S.; Schmidt, V.; Heinrich, L. 6 2004 Numerical and analytical computation of some second-order characteristics of spatial Poisson-Voronoi tessellations. Zbl 0912.60023 Heinrich, L.; Körner, R.; Mehlhorn, N.; Muche, L. 5 1998 Asymptotic expansions in the central limit theorem for a special class of m-dependent random fields. II: Lattice case. Zbl 0705.60025 Heinrich, Lothar 5 1990 Normal and Poisson approximation of infinitely divisible distribution functions. Zbl 0751.60020 Lorz, U.; Heinrich, L. 5 1991 Minimum contrast estimates for parameters of ergodic spatial point processes. Zbl 0770.62082 Heinrich, Lothar 5 1992 Central limit theorems for empirical product densities of stationary point processes. Zbl 1306.60008 Heinrich, Lothar; Klein, Stella 5 2014 On the strong Brillinger-mixing property of \(\alpha\)-determinantal point processes and some applications. Zbl 1488.60126 Heinrich, Lothar 5 2016 Limit theorems for functionals on the facets of stationary random tessellations. Zbl 1156.60010 Heinrich, Lothar; Schmidt, Hendrik; Schmidt, Volker 4 2007 Factorization of the characteristic function of a sum of dependent random variables. Zbl 0498.60019 Heinrich, L. 4 1982 Kernel estimation of the diameter distribution in Boolean models with spherical grains. Zbl 0946.62043 Heinrich, Lothar; Werner, Michael 4 2000 Some limit theorems for extremal and union shot-noise processes. Zbl 0829.60039 Heinrich, L.; Molchanov, I. S. 4 1994 \(m\)-dependent random fields with analytic cumulant generating function. Zbl 0841.60033 Götze, F.; Heinrich, L.; Hipp, C. 4 1995 Contact and chord length distribution of a stationary Voronoi tessellation. Zbl 0922.60020 Heinrich, Lothar 4 1998 Some remarks on asymptotic expansions in the central limit theorem for m- dependent random variables. Zbl 0576.60019 Heinrich, Lothar 4 1985 Limit theorems for stationary tessellations with random inner cell structures. Zbl 1068.60021 Heinrich, Lothar; Schmidt, Hendrik; Schmidt, Volker 4 2005 Asymptotic goodness-of-fit tests for the Palm mark distribution of stationary point processes with correlated marks. Zbl 1312.60062 Heinrich, Lothar; Lück, Sebastian; Schmidt, Volker 4 2014 Central limit theorems for motion-invariant Poisson hyperplanes in expanding convex bodies. Zbl 1470.60049 Heinrich, Lothar 4 2009 Infinitely divisible distributions as limit laws for sums of random variables connected in a Markov chain. Zbl 0524.60016 Heinrich, Lothar 3 1982 Limit distributions of some stereological estimators in Wicksell’s corpuscle problem. Zbl 1154.62373 Heinrich, Lothar 3 2007 Stable limit theorems for sums of multiply indexed m-dependent random variables. Zbl 0609.60033 Heinrich, Lothar 3 1986 Non-uniform bounds for the error in the central limit theorem for random fields generated by functions of independent random variables. Zbl 0705.60026 Heinrich, Lothar 3 1990 On the convergence of \(U\)-statistics with stable limit distribution. Zbl 0768.60023 Heinrich, Lothar; Wolf, Werner 3 1993 Asymptotic normality of a random point field characteristic. Zbl 0629.62048 Heinrich, L. 2 1986 Bounds for the absolute regularity coefficient of a stationary renewal process. Zbl 0771.60066 Heinrich, Lothar 2 1992 An almost-Markov-type mixing condition and large deviations for Boolean models on the line. Zbl 1134.60009 Heinrich, Lothar 2 2007 Nonparametric testing of distribution functions in germ-grain models. Zbl 05243457 Pawlas, Zbyněk; Heinrich, Lothar 2 2006 A new approach to the summation theory of random variables connected in a Markov chain. Zbl 0504.60012 Heinrich, Lothar 2 1982 Some estimates of the cumulant-generating function of a sum of \(m\)-dependent random vectors and their application to large deviations. Zbl 0559.60006 Heinrich, Lothar 2 1985 Goodness-of-fit criteria for the Adams and Jefferson rounding methods and their limiting laws. Zbl 1125.65040 Heinrich, Lothar; Schwingenschlögl, Udo 2 2006 Stable limits for sums of m-dependent random variables. Zbl 0582.60031 Heinrich, L. 2 1985 Kernel estimation of the spectral density of stationary random closed sets. Zbl 1061.62057 Böhm, Stephan; Heinrich, Lothar; Schmidt, Volker 2 2004 Empirical mark covariance and product density function of stationary marked point processes – a survey on asymptotic results. Zbl 1308.60063 Heinrich, Lothar; Klein, Stella; Moser, Martin 2 2014 Erratum: Second-order properties of the point process of nodes in a stationary Voronoi tessellation. Zbl 1202.60020 Heinrich, Lothar; Muche, Lutz 2 2010 Mixing properties of stationary Poisson cylinder models. Zbl 1394.60009 Bräu, Christian; Heinrich, Lothar 2 2017 Über Wahrscheinlichkeiten großer Abweichungen von Summen Markovsch verbundener Zufallsgrössen bei Nichterfüllung der Cramerschen Bedingung. Zbl 0524.60030 Heinrich, L. 1 1983 Generation of the typical cell of a non-Poissonian Johnson-Mehl tessellation. Zbl 0833.60015 Heinrich, Lothar; Schüle, Eik 1 1995 On moderate deviations of sums of m-dependent random vectors. Zbl 0558.60027 Heinrich, Lothar; Richter, Wolf-Dieter 1 1984 Some inequalities for chord power integrals of parallelotopes. Zbl 1355.52004 Heinrich, Lothar 1 2016 The variance of the discrepancy distribution of rounding procedures, and sums of uniform random variables. Zbl 1360.62057 Heinrich, Lothar; Pukelsheim, Friedrich; Wachtel, Vitali 1 2017 Asymptotic goodness-of-fit tests for point processes based on scaled empirical \(K\)-functions. Zbl 1404.62022 Heinrich, Lothar 1 2018 Some new results on second-order chord power integrals of convex quadrangles. Zbl 1470.52011 Heinrich, Lothar 1 2012 Brillinger-mixing point processes need not to be ergodic. Zbl 1391.60111 Heinrich, Lothar 1 2018 Asymptotic goodness-of-fit tests for point processes based on scaled empirical \(K\)-functions. Zbl 1404.62022 Heinrich, Lothar 1 2018 Brillinger-mixing point processes need not to be ergodic. Zbl 1391.60111 Heinrich, Lothar 1 2018 Mixing properties of stationary Poisson cylinder models. Zbl 1394.60009 Bräu, Christian; Heinrich, Lothar 2 2017 The variance of the discrepancy distribution of rounding procedures, and sums of uniform random variables. Zbl 1360.62057 Heinrich, Lothar; Pukelsheim, Friedrich; Wachtel, Vitali 1 2017 On the strong Brillinger-mixing property of \(\alpha\)-determinantal point processes and some applications. Zbl 1488.60126 Heinrich, Lothar 5 2016 Some inequalities for chord power integrals of parallelotopes. Zbl 1355.52004 Heinrich, Lothar 1 2016 Gaussian limits of empirical multiparameter \(K\)-functions of homogeneous Poisson processes and tests for complete spatial randomness. Zbl 1319.60068 Heinrich, Lothar 7 2015 Central limit theorems for empirical product densities of stationary point processes. Zbl 1306.60008 Heinrich, Lothar; Klein, Stella 5 2014 Asymptotic goodness-of-fit tests for the Palm mark distribution of stationary point processes with correlated marks. Zbl 1312.60062 Heinrich, Lothar; Lück, Sebastian; Schmidt, Volker 4 2014 Empirical mark covariance and product density function of stationary marked point processes – a survey on asymptotic results. Zbl 1308.60063 Heinrich, Lothar; Klein, Stella; Moser, Martin 2 2014 Asymptotic methods in statistics of random point processes. Zbl 1296.62163 Heinrich, Lothar 16 2013 Central limit theorems for volume and surface content of stationary Poisson cylinder processes in expanding domains. Zbl 1282.60012 Heinrich, Lothar; Spiess, Malte 10 2013 Absolute regularity and Brillinger-mixing of stationary point processes. Zbl 1291.60100 Heinrich, Lothar; Pawlas, Zbyněk 7 2013 Some new results on second-order chord power integrals of convex quadrangles. Zbl 1470.52011 Heinrich, Lothar 1 2012 Central limit theorem for the integrated squared error of the empirical second-order product density and goodness-of-fit tests for stationary point processes. Zbl 1277.60085 Heinrich, Lothar; Klein, Stella 7 2011 On estimating the asymptotic variance of stationary point processes. Zbl 1197.62122 Heinrich, Lothar; Prokešová, Michaela 10 2010 Erratum: Second-order properties of the point process of nodes in a stationary Voronoi tessellation. Zbl 1202.60020 Heinrich, Lothar; Muche, Lutz 2 2010 Berry-Esseen bounds and Cramér-type large deviations for the volume distribution of Poisson cylinder processes. Zbl 1186.60017 Heinrich, L.; Spiess, M. 10 2009 Central limit theorems for motion-invariant Poisson hyperplanes in expanding convex bodies. Zbl 1470.60049 Heinrich, Lothar 4 2009 Second-order properties of the point process of nodes in a stationary Voronoi tessellation. Zbl 1144.60007 Heinrich, Lothar; Muche, Lutz 12 2008 Weak and strong convergence of empirical distribution functions from germ-grain processes. Zbl 1151.62039 Heinrich, Lothar; Pawlas, Zbyněk 7 2008 Limit theorems for functionals on the facets of stationary random tessellations. Zbl 1156.60010 Heinrich, Lothar; Schmidt, Hendrik; Schmidt, Volker 4 2007 Limit distributions of some stereological estimators in Wicksell’s corpuscle problem. Zbl 1154.62373 Heinrich, Lothar 3 2007 An almost-Markov-type mixing condition and large deviations for Boolean models on the line. Zbl 1134.60009 Heinrich, Lothar 2 2007 Central limit theorems for Poisson hyperplane tessellations. Zbl 1132.60023 Heinrich, Lothar; Schmidt, Hendrik; Schmidt, Volker 16 2006 Nonparametric testing of distribution functions in germ-grain models. Zbl 05243457 Pawlas, Zbyněk; Heinrich, Lothar 2 2006 Goodness-of-fit criteria for the Adams and Jefferson rounding methods and their limiting laws. Zbl 1125.65040 Heinrich, Lothar; Schwingenschlögl, Udo 2 2006 Large deviations of the empirical volume fraction for stationary Poisson grain models. Zbl 1067.60002 Heinrich, Lothar 19 2005 On stationary multiplier methods for the rounding of probabilities and the limiting law of the Sainte-Laguë divergence. Zbl 1092.60012 Heinrich, Lothar; Pukelsheim, Friedrich; Schwingenschlögl, Udo 8 2005 Limit theorems for stationary tessellations with random inner cell structures. Zbl 1068.60021 Heinrich, Lothar; Schmidt, Hendrik; Schmidt, Volker 4 2005 Sainte-Laguë’s chi-square divergence for the rounding of probabilities and its convergence to a stable law. Zbl 1068.60029 Heinrich, Lothar; Pukelsheim, Friedrich; Schwingenschlögl, Udo 6 2004 Asymptotic properties of estimators for the volume fractions of jointly stationary random sets. Zbl 1061.62150 Böhm, S.; Schmidt, V.; Heinrich, L. 6 2004 Kernel estimation of the spectral density of stationary random closed sets. Zbl 1061.62057 Böhm, Stephan; Heinrich, Lothar; Schmidt, Volker 2 2004 Kernel estimation of the diameter distribution in Boolean models with spherical grains. Zbl 0946.62043 Heinrich, Lothar; Werner, Michael 4 2000 Central limit theorem for a class of random measures associated with germ-grain models. Zbl 0941.60025 Heinrich, Lothar; Molchanov, Ilya S. 41 1999 Numerical and analytical computation of some second-order characteristics of spatial Poisson-Voronoi tessellations. Zbl 0912.60023 Heinrich, L.; Körner, R.; Mehlhorn, N.; Muche, L. 5 1998 Contact and chord length distribution of a stationary Voronoi tessellation. Zbl 0922.60020 Heinrich, Lothar 4 1998 Strong convergence of kernel estimators for product densities of absolutely regular point processes. Zbl 0884.60041 Heinrich, Lothar; Liebscher, Eckhard 8 1997 Mixing properties and central limit theorem for a class of non-identical piecewise monotonic \(C^ 2\)-transformations. Zbl 0863.60023 Heinrich, Lothar 23 1996 \(m\)-dependent random fields with analytic cumulant generating function. Zbl 0841.60033 Götze, F.; Heinrich, L.; Hipp, C. 4 1995 Generation of the typical cell of a non-Poissonian Johnson-Mehl tessellation. Zbl 0833.60015 Heinrich, Lothar; Schüle, Eik 1 1995 Normal approximation for some mean-value estimates of absolutely regular tessellations. Zbl 0824.60011 Heinrich, Lothar 18 1994 Some limit theorems for extremal and union shot-noise processes. Zbl 0829.60039 Heinrich, L.; Molchanov, I. S. 4 1994 Asymptotic properties of minimum contrast estimators for parameters of Boolean models. Zbl 0786.62038 Heinrich, Lothar 7 1993 On the convergence of \(U\)-statistics with stable limit distribution. Zbl 0768.60023 Heinrich, Lothar; Wolf, Werner 3 1993 On existence and mixing properties of germ-grain models. Zbl 0811.60034 Heinrich, L. 14 1992 Minimum contrast estimates for parameters of ergodic spatial point processes. Zbl 0770.62082 Heinrich, Lothar 5 1992 Bounds for the absolute regularity coefficient of a stationary renewal process. Zbl 0771.60066 Heinrich, Lothar 2 1992 Goodness-of-fit tests for the second moment function of a stationary multidimensional Poisson process. Zbl 0809.62075 Heinrich, L. 9 1991 Normal and Poisson approximation of infinitely divisible distribution functions. Zbl 0751.60020 Lorz, U.; Heinrich, L. 5 1991 Some bounds of cumulants of m-dependent random fields. Zbl 0723.60026 Heinrich, Lothar 10 1990 Asymptotic expansions in the central limit theorem for a special class of m-dependent random fields. II: Lattice case. Zbl 0705.60025 Heinrich, Lothar 5 1990 Non-uniform bounds for the error in the central limit theorem for random fields generated by functions of independent random variables. Zbl 0705.60026 Heinrich, Lothar 3 1990 Asymptotic Gaussianity of some estimators for reduced factorial moment measures and product densities of stationary Poisson cluster processes. Zbl 0666.62032 Heinrich, L. 25 1988 Asymptotic behaviour of an empirical nearest-neighbour distance function for stationary Poisson cluster processes. Zbl 0653.60041 Heinrich, Lothar 12 1988 Rates of convergence in stable limit theorems for sums of exponentially \(\psi\)-mixing random variables with an application to the metric theory of continued fractions. Zbl 0631.60020 Heinrich, L. 21 1987 A method for the derivation of limit theorems for sums of weakly dependent random variables: A survey. Zbl 0631.60023 Heinrich, L. 6 1987 Asymptotic expansions in the central limit theorem for a special class of \(m\)-dependent random fields. I. Zbl 0668.60026 Heinrich, Lothar 6 1987 Stable limit theorems for sums of multiply indexed m-dependent random variables. Zbl 0609.60033 Heinrich, Lothar 3 1986 Asymptotic normality of a random point field characteristic. Zbl 0629.62048 Heinrich, L. 2 1986 Normal convergence of multidimensional shot noise and rates of this convergence. Zbl 0609.60036 Heinrich, Lothar; Schmidt, Volker 44 1985 Non-uniform estimates, moderate and large deviations in the central limit theorem for m-dependent random variables. Zbl 0572.60031 Heinrich, Lothar 13 1985 Some remarks on asymptotic expansions in the central limit theorem for m- dependent random variables. Zbl 0576.60019 Heinrich, Lothar 4 1985 Some estimates of the cumulant-generating function of a sum of \(m\)-dependent random vectors and their application to large deviations. Zbl 0559.60006 Heinrich, Lothar 2 1985 Stable limits for sums of m-dependent random variables. Zbl 0582.60031 Heinrich, L. 2 1985 Non-uniform estimates and asymptotic expansions of the remainder in the central limit theorem for m-dependent random variables. Zbl 0558.60026 Heinrich, Lothar 12 1984 On moderate deviations of sums of m-dependent random vectors. Zbl 0558.60027 Heinrich, Lothar; Richter, Wolf-Dieter 1 1984 Über Wahrscheinlichkeiten großer Abweichungen von Summen Markovsch verbundener Zufallsgrössen bei Nichterfüllung der Cramerschen Bedingung. Zbl 0524.60030 Heinrich, L. 1 1983 A method for the derivation of limit theorems for sums of m-dependent random variables. Zbl 0492.60028 Heinrich, Lothar 39 1982 Factorization of the characteristic function of a sum of dependent random variables. Zbl 0498.60019 Heinrich, L. 4 1982 Infinitely divisible distributions as limit laws for sums of random variables connected in a Markov chain. Zbl 0524.60016 Heinrich, Lothar 3 1982 A new approach to the summation theory of random variables connected in a Markov chain. Zbl 0504.60012 Heinrich, Lothar 2 1982 all cited Publications top 5 cited Publications all top 5 Cited by 331 Authors 42 Heinrich, Lothar 15 Kifer, Yuri 14 Thäle, Christoph 9 Čekanavičius, Vydas 9 Last, Günter 9 Schmidt, Volker 8 Guan, Yongtao 8 Hug, Daniel 8 Penrose, Mathew D. 7 Pawlas, Zbyněk 7 Sunklodas, Jonas Kazys 6 Biermé, Hermine 6 Schulte, Matthias 6 Schwingenschlögl, Udo 6 Spodarev, Evgueni 5 Coeurjolly, Jean-François 5 Szewczak, Zbigniew Stanisław 4 Biscio, Christophe Ange Napoléon 4 Calka, Pierre 4 Chenavier, Nicolas 4 Lachièze-Rey, Raphaël 4 Lautensack Redenbach, Claudia 4 Prokešová, Michaela 4 Rapaport, Ariel 4 Schreiber, Tomasz 4 Vellaisamy, Palaniappan 3 Baddeley, Adrian John 3 Betken, Carina 3 Desolneux, Agnès 3 Gusakova, Anna Grigorevna 3 Hirsch, Christian 3 Klatt, Michael Andreas 3 Klein, Stella 3 Lavancier, Frédéric 3 Moller, Jesper 3 Muche, Lutz 3 Nagel, Werner 3 Pang, Guodong 3 Pukelsheim, Friedrich 3 Reitzner, Matthias 3 Schatte, Peter 3 Schmidt, Hendrik 3 Vedel Jensen, Eva Bjørn 3 Yukich, Joseph Elliott 2 Austern, Morgane 2 Baci, Anastas 2 Ballani, Felix 2 Baryshnikov, Yuliy M. 2 Bräu, Christian 2 Camerlenghi, Federico 2 Čepulėnas, S. 2 Chanda, Kamal C. 2 Ebner, Bruno 2 Eichelsbacher, Peter 2 Estrade, Anne 2 Holroyd, Alexander E. 2 Hung, Tran Loc 2 Iksanov, Aleksander M. 2 Jalilian, Abdollah H. 2 Jirak, Moritz 2 Kien, Phan Tri 2 Lang, Gabriel 2 Leppänen, Juho 2 Liaudanskaitė, Gabija 2 Liese, Friedrich 2 Liggett, Thomas Milton 2 Lorz, Udo 2 Macci, Claudio 2 Mateu, Jorge 2 Matsui, Muneya 2 Michel, Julien 2 Mikosch, Thomas 2 Paditz, Ludwig 2 Pantle, Ursa 2 Peccati, Giovanni 2 Petrauskienė, Jūratė 2 Poinas, Arnaud 2 Schoenberg, Frederic Paik 2 Shao, Qi-Man 2 Spiess, Malte 2 Stadlbauer, Manuel 2 Svane, Anne Marie 2 Villa, Elena 2 Waagepetersen, Rasmus Plenge 2 Wang, Qiying 2 Wang, Yizao 2 Weil, Wolfgang 2 Werner, Michael 2 Yogeshwaran, Dhandapani 2 Zhang, Xuan 2 Zhou, Yuhang 1 Abaach, Mariem 1 Adelfio, Giada 1 Aldous, David John 1 Alonso-Ruiz, Patricia 1 Anastasiou, Andreas 1 Appelt, Mirjam 1 Baccelli, François Louis 1 Bagdonavičius, Vilijandas B. 1 Bazarova, Alina ...and 231 more Authors all top 5 Cited in 92 Serials 23 Lithuanian Mathematical Journal 21 Advances in Applied Probability 15 Stochastic Processes and their Applications 13 Statistics 12 The Annals of Probability 12 Statistics & Probability Letters 11 The Annals of Applied Probability 9 Mathematische Nachrichten 9 Probability Theory and Related Fields 9 Bernoulli 9 Electronic Journal of Statistics 8 Journal of Applied Probability 7 Annals of the Institute of Statistical Mathematics 7 Stochastics and Dynamics 6 Electronic Journal of Probability 6 Methodology and Computing in Applied Probability 5 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 5 Stochastics 4 Israel Journal of Mathematics 4 Metrika 4 Journal of Multivariate Analysis 4 Journal of Theoretical Probability 3 The Annals of Statistics 3 Biometrics 3 International Statistical Review 3 Journal of Statistical Planning and Inference 3 Kybernetika 3 Monatshefte für Mathematik 3 Ergodic Theory and Dynamical Systems 3 Stochastic Models 2 Journal of Mathematical Analysis and Applications 2 Journal of Statistical Physics 2 Nonlinearity 2 Scandinavian Journal of Statistics 2 Journal of the American Statistical Association 2 Transactions of the American Mathematical Society 2 Mathematical Social Sciences 2 Journal of Time Series Analysis 2 Optimization 2 Statistical Science 2 Communications in Statistics. Theory and Methods 2 Computational Statistics and Data Analysis 2 Test 2 Journal of Nonparametric Statistics 2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 2 Extremes 2 Statistical Inference for Stochastic Processes 2 ALEA. Latin American Journal of Probability and Mathematical Statistics 2 Modern Stochastics. Theory and Applications 1 Discrete Applied Mathematics 1 Mathematische Semesterberichte 1 Physics Reports 1 Problems of Information Transmission 1 Acta Mathematica Vietnamica 1 Dissertationes Mathematicae 1 Glasgow Mathematical Journal 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Soviet Mathematics 1 Mathematika 1 Proceedings of the American Mathematical Society 1 Proceedings of the London Mathematical Society. Third Series 1 Statistica Neerlandica 1 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 1 Zeitschrift für Analysis und ihre Anwendungen 1 Stochastic Analysis and Applications 1 Acta Mathematica Hungarica 1 Acta Applicandae Mathematicae 1 Social Choice and Welfare 1 Applied Mathematics Letters 1 Mathematical and Computer Modelling 1 Queueing Systems 1 Annals of Operations Research 1 Applications of Mathematics 1 Indagationes Mathematicae. New Series 1 Journal of Mathematical Imaging and Vision 1 Mathematical Methods of Statistics 1 Statistical Papers 1 Journal of Mathematical Sciences (New York) 1 Statistica Sinica 1 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 1 Annals of Combinatorics 1 Journal of the Royal Statistical Society. Series B. Statistical Methodology 1 Probability in the Engineering and Informational Sciences 1 Scandinavian Actuarial Journal 1 Nonlinear Analysis. Modelling and Control 1 Mathematical Geosciences 1 Probability Surveys 1 Statistics and Computing 1 Statistics & Risk Modeling 1 Forum of Mathematics, Pi 1 Stochastic Systems 1 Annales Henri Lebesgue all top 5 Cited in 29 Fields 263 Probability theory and stochastic processes (60-XX) 112 Statistics (62-XX) 30 Dynamical systems and ergodic theory (37-XX) 21 Convex and discrete geometry (52-XX) 18 Number theory (11-XX) 16 Combinatorics (05-XX) 14 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 11 Numerical analysis (65-XX) 7 Statistical mechanics, structure of matter (82-XX) 6 Differential geometry (53-XX) 4 Operations research, mathematical programming (90-XX) 3 Measure and integration (28-XX) 3 Integral transforms, operational calculus (44-XX) 3 Functional analysis (46-XX) 3 Computer science (68-XX) 2 Special functions (33-XX) 2 Ordinary differential equations (34-XX) 2 Operator theory (47-XX) 1 Mathematical logic and foundations (03-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Sequences, series, summability (40-XX) 1 Approximations and expansions (41-XX) 1 Algebraic topology (55-XX) 1 Fluid mechanics (76-XX) 1 Astronomy and astrophysics (85-XX) 1 Geophysics (86-XX) 1 Biology and other natural sciences (92-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year