Publikationen

Lothar Heinrich
2018 | 2017 | 2016 | 2015 | 2014 | 2013 | 2012 | 2011 | 2010 | 2009 | 2008 | 2007 | 2006 | 2005 | 2004 | 2001 | 2000 | 1999 | 1998 | 1997 | 1995 | 1994 | 1993 | 1992 | 1991 | 1990 | 1989 | 1988 | 1987 | 1986 | 1985 | 1984 | 1983 | 1982 | 1980 | 1978

2018

Lothar Heinrich
Asymptotic goodness-of-fit tests for point processes based on scaled empirical K-functions

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2017

Lothar Heinrich
Asymptotic Goodness-of-Fit Tests for Point Processes Based on Scaled Empirical K-Functions

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Christian Bräu and Lothar Heinrich
Mixing properties of stationary Poisson cylinder models

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Lothar Heinrich, Friedrich Pukelsheim and Vitali Wachtel
The variance of the discrepancy distribution of rounding procedures, and sums of uniform random variables

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2016

Lothar Heinrich
Gaussian and Non-Gaussian Stable Limit Laws in Wicksell's Corpuscle Problem

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Christian Bräu and Lothar Heinrich
Mixing Properties of Stationary Poisson Cylinder Models

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Christian Bräu and Lothar Heinrich
Multivariate Poisson distributions associated with Boolean models

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Lothar Heinrich
On the strong Brillinger-mixing property of α-determinantal point processes and some applications

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Lothar Heinrich and Lutz Muche
Some remarks on second-order characteristics of planar Poisson-Voronoi tessellations

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Lothar Heinrich, Friedrich Pukelsheim and Vitali Wachtel
The Variance of the Discrepancy Distribution of Rounding Procedures, and Sums of Uniform Random Variables

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2015

Lothar Heinrich
Gaussian limits of empirical multiparameter K-functions of homogeneous Poisson processes and tests for complete spatial randomness

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Christian Bräu and Lothar Heinrich
Multivariate Poisson Distributions Associated with Boolean Models

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Lothar Heinrich
On the Strong Brillinger-Mixing Property of Alpha-Determinantal Point Processes and Some Applications

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Lothar Heinrich
Some Inequalities for Chord Power Integrals of Parallelotopes

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2014

Lothar Heinrich and Mirjam Appelt
A stable limit law for recurrence times of the simple random walk on the two-dimensional integer lattice

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Lothar Heinrich, Sebastian Lück and Volker Schmidt
Asymptotic goodness-of-fit tests for the Palm mark distribution of stationary point processes with correlated marks

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Lothar Heinrich and Stella Klein
Central limit theorems for empirical product densities of stationary point processes

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Lothar Heinrich
Gaussian Limits of Empirical Multiparameter K-Functions of Homogeneous Poisson Processes and Tests for Complete Spatial Randomness

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Lothar Heinrich
Lower and Upper Bounds for Chord Power Integrals of Ellipsoids

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Lothar Heinrich
Lower and upper bounds for chord power integrals of ellipsoids

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2013

Lothar Heinrich and Mirjam Appelt
A Stable Limit Law for Recurrence Times of the Simple Random Walk on the Lattice Z2

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Lothar Heinrich and Zbynek Pawlas
Absolute Regularity and Brillinger Mixing of Stationary Point Processes

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Lothar Heinrich and Zbyněk Pawlas¹
Absolute regularity and Brillinger-mixing of stationary point processes

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Lothar Heinrich and Malte Spiess
Central Limit Theorems for Volume and Surface Content of Stationary Poisson Cylinder Processes in Expanding Domains

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2012

Lothar Heinrich
Asymptotic Methods in Statistics of Random Point Processes

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Lecture Notes in Mathematics; 2068

Lothar Heinrich and Malte Spiess
Central Limit Theorem for the Volume of stationary Poisson Cylinder Processes in Expanding Domains

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Lothar Heinrich, Stella Klein and Martin Moser
Empirical Mark Covariance and Product Density Function of Stationary Marked Point Processes—A Survey on Asymptotic Results

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Lothar Heinrich, Sebastian Lück and Volker Schmidt
Non-parametric asymptotic statistics for the Palm mark distribution of β-mixing marked point processes

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Lothar Heinrich
Some new results on second-order chord power integrals of convex quadrangles

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Proceedings: VIIIth international conference in "stochastic geometry, convex bodies, empirical measures & applications to mechanics and engineering train-transport”; Taormina - Italy, 28-30 September, 2011

2011

Lothar Heinrich, Sebastian Lück and Volker Schmidt
Asymptotic Goodness-of-fit Tests for the Palm Mark Distribution of Stationary Point Processes with Correlated Marks

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Lothar Heinrich and Stella Klein
Central Limit Theorems for Empirical Product Densities of Stationary Point Processes

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Lothar Heinrich and Stella Klein
Central limit theorem for the integrated squared error of the empirical second-order product density and goodness-of-fit tests for stationary point processes

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Lothar Heinrich
Some New Results on Second-Order Chord Power Integrals of Convex Quadrangles

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2010

Stella Veronica David and Lothar Heinrich
Central Limit Theorem for the Integrated Squared Error of the Empirical Second-Order Product Density and Goodness-of-fit Tests for Stationary Point Processes

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Lothar Heinrich and Michael Werner
Strongly consistent estimation in Wicksell's corpuscle problem in case of occluded spheres

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2009

Lothar Heinrich and Malte Spiess
Berry-Esseen Bounds and Cramer-Type Large Deviations for the Volume Distribution of Poisson Cylinder Processes

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Lothar Heinrich and Malte Spiess
Berry–Esseen bounds and Cramér-type large deviations for the volume distribution of Poisson cylinder processes

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Lothar Heinrich
Central limit theorems for motion-invariant Poisson hyperplanes in expanding convex bodies

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Proceedings of the VIIth International Conference in “Stochastic Geometry, Convex Bodies, Empirical Measures & Applications to Mechanics and Engineering Train-Transport”; Messina, April 22-24, 2009

Lothar Heinrich
Mixing Properties and Central Limit Theorem for a Class of Non-Identical Piecewise Monotonic C2 - Transformations

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Lothar Heinrich
On Lower Bounds of Second-Order Chord Power Integrals of Convex Discs

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Lothar Heinrich
On lower bounds of second-order chord power integrals of convex discs

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Proceedings of the VIIth International Conference in “Stochastic Geometry, Convex Bodies, Empirical Measures & Applications to Mechanics and Engineering Train-Transport”; Messina, April 22-24, 2009

2008

Lothar Heinrich and Michaela Prokešová
On Estimating the Asymptotic Variance of Stationary Point Processes

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Lothar Heinrich
On the Miquel point of simplices

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Lothar Heinrich and Lutz Muche
Second-order properties of the point process of nodes in a stationary Voronoi tessellation

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Lothar Heinrich and Zbyněk Pawlas
Weak and strong convergence of empirical distribution functions from germ-grain processes

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2007

Lothar Heinrich
An Almost-Markov-Type Mixing Condition and Large Deviations for Boolean Models on the Line

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Lothar Heinrich
Central Limit Theorems for Motion-Invariant Poisson Hyperplanes in Expanding Convex Bodies

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Lothar Heinrich
Comment in: Discussion of 'Modern Statistics for Spatial Point Processes'

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Lothar Heinrich
Limit distributions of some stereological estimators in Wicksell's corpuscle problem

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Lothar Heinrich, Hendrik Schmidt and Volker Schmidt
Limit theorems for functionals on the facets of stationary random tessellations

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2006

Lothar Heinrich, Hendrik Schmidt and Volker Schmidt
Central limit theorems for Poisson hyperplane tessellations

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Lothar Heinrich and Udo Schwingenschlögl
Goodness-of-fit Criteria for the Adams and Jefferson Rounding Methods and their Limiting Laws

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Zbyněk Pawlas and Lothar Heinrich
Nonparametric Testing of Distribution Functions in Germ-grain Models

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Lothar Heinrich and Ilya S. Molchanov
Some Limit Theorems for Extremal and Union Shot-Noise Processes

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2005

Lothar Heinrich
Large deviations of the empirical volume fraction for stationary Poisson grain models

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Lothar Heinrich, Hendrik Schmidt and Volker Schmidt
Limit theorems for stationary tessellations with random inner cell structures

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Lothar Heinrich, Friedrich Pukelsheim and Udo Schwingenschlögl
On stationary multiplier methods for the rounding of probabilities and the limiting law of the Sainte-Laguë divergence

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2004

Stephan Böhm, Volker Schmidt and Lothar Heinrich
Asymptotic properties of estimators for the volume fractions of jointly stationary random sets

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Stephan Böhm, Lothar Heinrich and Volker Schmidt
Kernel Estimation of the Spectral Density of Stationary Random Closed Sets

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Lothar Heinrich, Friedrich Pukelsheim and Udo Schwingenschlögl
Sainte-Laguë’s chi-square divergence for the rounding of probabilities and its convergence to a stable law

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2001

Lothar Heinrich
On the asymptotic behaviour of the integral int 0infty eitx(x-alpha-([xalpha]+1)-1 )dx as t->0 and rates of convergence to alpha-stable limit laws

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2000

Lothar Heinrich and Michael Werner
Kernel estimation of the diameter distribution in boolean models with spherical grains

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1999

Lothar Heinrich and Ilya S. Molchanov
Central limit theorem for a class of random measures associated with germ-grain models

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1998

Lothar Heinrich and Michael Werner
A Contribution to the Nonparametric Statistics of Particle Systems

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Lothar Heinrich
Contact and chord length distribution of a stationary Voronoi tessellation

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Lothar Heinrich, R. Körner, N. Mehlhorn and Lutz Muche
Numerical and Analytical Computation of Some Second-Order Characteristics of Spatial Poisson-Voronoi Tessellations

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Lothar Heinrich
On asymptotic estimation in Wicksells corpuscle problem

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1997

Lothar Heinrich
Absolute regularity of stochastic processes and fields

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Lothar Heinrich
Poisson approximation for the number of large digits of inhomogeneousf-expansions

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Lothar Heinrich and Eckhard Liebscher
Strong convergence of kernel estimators for product densities of absolutely regular point processes

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1995

Lothar Heinrich and Eik Schüle
Generation of the typical cell of a non-poissonian Johnson-Mehl tessellation

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F. Götze, Lothar Heinrich and C. Hipp
m-dependent random fields with analytic cumulant-generating function

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1994

Lothar Heinrich
Normal approximation for some mean-value estimates of absolutely regular tessellations

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Lothar Heinrich and Lutz Muche
On the pair correlation function of the point process of nodes in a Voronoi tessellation

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1993

Lothar Heinrich
Asymptotic properties of minimum contrast estimators for parameters of boolean models

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Lothar Heinrich and W. Wolf
On the Convergence of U-Statistics with Stable Limit Distribution

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Lothar Heinrich
Tail triviality of point processes and Poisson convergence for some classes of particle motions

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1992

Lothar Heinrich
Bounds for the absolute regularity coefficient of a stationary renewal process

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Lothar Heinrich
Minimum contrast estimates for parameters of spatial ergodic point processes

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Lothar Heinrich
Mixing properties of Gibbsian point processes and asymptotic normality of Takacs-Fiksel estimates

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Lothar Heinrich
On existence and mixing properties of germ-grain models

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1991

Lothar Heinrich
Goodness-of-fit tests for the second moment funciton of a stationary multidimensional poisson process

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U. Lorz and Lothar Heinrich
Normal and poisson approximation of infinitely divisible distribution functions

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1990

Lothar Heinrich
Asymptotic Expansions in the Central Limit Theorem for a Special Class ofm-Dependent Random Fields II – Lattice Case

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Lothar Heinrich
Non-Uniform Bounds for the Error in the Central Limit Theorem for Random Fields Generated by Functions of Independent Random Variables

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Lothar Heinrich
Some Bounds of Cumulants of m-Dependent Random Fields

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Lothar Heinrich and A. Schwandtke
Some Remarks on Second-Order-Analysis of Planar Fibre Processes by Line Intersections

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1989

Lothar Heinrich and W. Wolf
Uniform and non-uniform approximations of U-statistics by stable distributions

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1988

Lothar Heinrich
Asymptotic Behaviour of an Empirical Nearest-Neighbour Distance Function for Stationary Poisson Cluster Processes

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Lothar Heinrich
Asymptotic gaussianity of some estimators for reduced factorial moment measures and product densities of stationary poisson cluster processes

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1987

Lothar Heinrich
A method for the derivation of limit theorems for sums of weakly dependent random variables: a survey

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Lothar Heinrich
Asymptotic Expansions in the Central Limit Theorem for a Special Class ofm-Dependent Random Fields. I

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Lothar Heinrich
On the central limit problem for sequences and fields of m-dependent random variables

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Sonderheft "Limit theorems in Probability Theory and Related Topics", Herausgegeben zu Ehren des 70. Jahrestages der Großen Sozialistischen Oktoberrevolution

Lothar Heinrich
Rates of Convergence in Stable Limit Theorems for Sums of Exponentially Ψ-mixing Random Variables with an Application to Metric Theory of Continued Fractions

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1986

Lothar Heinrich
Asymptotic normality of a random point field characteristic

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Lothar Heinrich
Beiträge zur Summationstheorie von Folgen und Feldern m-abhängiger Zufallsgrößen

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Zugl. Freiberg, Bergakademie, Habilitationsschrift, 1987

Lothar Heinrich
Stable Limit Theorems for Sums of Multiply Indexed m-Dependent Random Variables

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1985

Lothar Heinrich
An elementary proof of spitzer-’s identity

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Lothar Heinrich
Non-Uniform Estimates, Moderate and Large Deviations in the Central Limit Theorem form-Dependent Random Variables

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Lothar Heinrich and Volker Schmidt
Normal convergence of multidimensional shot noise and rates of this convergence

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Lothar Heinrich
Some Estimates of the Cumulant-Generating Function of a Sum ofm-Dependent Random Vectors and Their Application to Large Deviations

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Lothar Heinrich
Some Remarks on Asymptotic Expansions in the Central Limit Theorem form-Dependent Random Variables

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Lothar Heinrich
Stable limits for sums of m-dependent random variables

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1984

Lothar Heinrich
Non-Uniform Estimates and Asymptotic Expansions of the Remainder in the Central Limit Theorem form-Dependent Random Variables

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Lothar Heinrich and Wolf-Dieter Richter
On Moderate Deviations of Sums ofm-Dependent Random Vectors

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Lothar Heinrich
On a test of randomness of spatial point patterns

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Lothar Heinrich and D. Stoyan
On generalized Palm-Chintschin formulae [Russian]

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Lothar Heinrich
Some Estimates of the Concentration Function of Sums of m-Dependent and Markov-Dependent Random Variables

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Lothar Heinrich
Some estimators for the first-order n-fold Palm moment measure and their application to the investigation of dependences in point processes

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1983

Lothar Heinrich
A method for the derivation of limit theorems for some classes of dependent random variables

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Lothar Heinrich
Integral limit theorems for inhomogeneous Markov chains in case of a stable limit law [in Russian]

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Lothar Heinrich
Über Wahrscheinlichkeiten großer Abweichungen von Summen Markovsch verbundener Zufallsgrößen bei Nichterfüllung der Cramérschen Bedingung

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1982

Lothar Heinrich
A New Approach to the Summation Theory of Random Variables Connected in a MARKOV Chain

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Lothar Heinrich
A method for the derivation of limit theorems for sums of m-dependent random variables

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Lothar Heinrich
Factorization of the characteristic function of a sum of dependent random variables

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Lothar Heinrich
Infinitely Divisible Distributions as Limit Laws for Sums of Random Variables Connected in a Markov Chain

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Lothar Heinrich
Über Wahrscheinlichkeiten großer Abweichungen von Summen Markovsch verbundener Zufallsvektoren bei Nichterfüllung der Cramerschen Bedingung

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Lothar Heinrich
Über eine Faktorisierung der charakteristischen Funktion einer Summe von abhängigen Zufallsgrößen

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1980

V. Nollau and Lothar Heinrich
Ein Kriterium zur direkten Integrierbarkeit reellwertiger Funktionen

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Lothar Heinrich
Integrale Grenzwertsätze für Wahrscheinlichkeiten großer Abweichungen im Falle homogen Markovsch verbundener Zufallsgrößen

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Lothar Heinrich
Konvergenzaussagen über Summen Markovsch verbundener Zufallsgrößen unter besonderer Berücksichtigung von Wahrscheinlichkeiten großer Abweichungen

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Zugl. Dresden, Techn. Univ., Diss. A, 1980, Doktorarbeit

1978

Lothar Heinrich
Integrale Grenzwertsätze für Wahrscheinlichkeiten großer Abweichungen im Falle homogen und stationär Markovsch verbundener Zufallsgrößen

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