Gerd Christoph

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All published works

Action	Title	Year	Authors
+ PDF Chat	Second Order Chebyshev–Edgeworth-Type Approximations for Statistics Based on Random Size Samples	2023	Gerd Christoph Vladimir V. Ulyanov
+	Second Order Expansions for Sample Median with Random Sample Size	2021	Gerd Christoph Vladimir V. Ulyanov V. E. Bening
+ PDF Chat	Chebyshev–Edgeworth-Type Approximations for Statistics Based on Samples with Random Sizes	2021	Gerd Christoph Vladimir V. Ulyanov
+	Random Dimension Low Sample Size Asymptotics	2021	Gerd Christoph Vladimir V. Ulyanov
+ PDF Chat	Second Order Expansions for High-Dimension Low-Sample-Size Data Statistics in Random Setting	2020	Gerd Christoph Vladimir V. Ulyanov
+	Second-Order Chebyshev–Edgeworth and Cornish–Fisher Expansions for Distributions of Statistics Constructed from Samples with Random Sizes	2020	Gerd Christoph М.М. Монахов Vladimir V. Ulyanov
+	Asymptotic expansions for distributions of statistics with random sample size	2020	Vladimir V. Ulyanov Gerd Christoph М.М. Монахов
+	Short Expansions for High-Dimension Low-Sample-Size Data Statistics in Random Setting	2020	Vladimir V. Ulyanov Gerd Christoph
+	Second Order Expansions for Sample Median with Random Sample Size	2019	Gerd Christoph Vladimir V. Ulyanov V. E. Bening
+	Second Order Expansions for Distributions of Statistics and Its Quantiles Based on Random Size Samples	2017	Gerd Christoph М.М. Монахов Vladimir V. Ulyanov
+	Accurate Approximation of Correlation Coefficients by Short Edgeworth-Chebyshev Expansion and Its Statistical Applications	2012	Gerd Christoph Vladimir V. Ulyanov Yasunori Fujikoshi
+	Asymptotic Properties of Generalized Multivariate Rank Statistics	2012	Gerd Christoph Sergey V. Malov
+	Second order behavior of the tails of compound sums of regularly varying random variables	2011	Gerd Christoph Nadja Malevich
+	On approximations of transformed chi-squared distributions in statistical applications	2006	Vladimir V. Ulyanov Gerd Christoph Y. Fujikoshi
+	Computable Error Bounds for Approximations of Transformed Chi-Squared Variables and Its Statistical Applications	2006	Vladimir V. Ulyanov Gerd Christoph Y. Fujikoshi
+	Characterization and Stability Problems for Finite Quadratic Forms	2001	Gerd Christoph Yu. V. Prohorov Vladimir V. Ulyanov
+	Positive Linnik and Discrete Linnik Distributions	2001	Gerd Christoph Karina Schreiber
+	Scaled Sibuya distribution and discrete self-decomposability	2000	Gerd Christoph Karina Schreiber
+	On Characteristic Properties of Quadratic Forms	2000	Yurii Vasil’evich Prokhorov Gerd Christoph Vladimir V. Ulyanov
+	Discrete stable random variables	1998	Gerd Christoph Karina Schreiber
+	The Generalized Discrete Linnik Distributions	1998	Gerd Christoph Karina Schreiber
+	On Distribution of Quadratic Forms in Gaussian Random Variables	1996	Gerd Christoph Yu. V. Prokhorov Vladimir V. Ulyanov
+	Convergence theorems with a stable limit law	1992	Gerd Christoph Werner Wolf
+	On some Differences in Limit Theorems with a Normal or a Non‐normal Stable Limit Law	1991	Gerd Christoph
+	Non‐uniform Estimates in Asymptotic Expansions with a Stable Limit Distribution	1991	Gerd Christoph
+	Non-uniform estimates of the remainder term in limit theorems with a stable limit law	1987	Gerd Christoph
+	Strong Approximations for Partial Sums of Random Variables Attracted to a Stable Law	1987	Gerd Christoph
+ PDF Chat	Weighted sums of random variables attracted to stable laws	1986	Gerd Christoph
+	Asymptotic Expansions for Sums of Random Variables and of Reciprocals of These with a Non-Normal Stable Limit Law	1985	Gerd Christoph
+	Asymptotic Expansions in Limit Theorems for Lattice Distributions Attracted to Stable Laws	1984	Gerd Christoph
+	Asymptotic expansion in the case of a stable limit law. I	1982	Gerd Christoph
+ PDF Chat	�ber notwendige und hinreichende Bedingungen f�r Konvergenzgeschwindigkeitsaussagen im Falle einer stabilen Grenzverteilung	1980	Gerd Christoph
+	Convergence rate in integral limit theorem with stable limit law	1979	Gerd Christoph

Common Coauthors

Coauthor	Papers Together
Vladimir V. Ulyanov	16
Karina Schreiber	4
М.М. Монахов	3
V. E. Bening	2
Y. Fujikoshi	2
Sergey V. Malov	1
Werner Wolf	1
Yasunori Fujikoshi	1
Yu. V. Prokhorov	1
Nadja Malevich	1
Yurii Vasil’evich Prokhorov	1
Yu. V. Prohorov	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Discrete Pareto Distributions	2014	Amrutha Buddana Tomasz J. Kozubowski	7
+	Weak convergence to the Student and Laplace distributions	2016	Christian Schlüter Mark Trede	7
+	On an Application of the Student Distribution in the Theory of Probability and Mathematical Statistics	2005	V. E. Bening V. Yu. Korolev	7
+	Multivariate Statistics	2010	Yasunori Fujikoshi Vladimir V. Ulyanov Ryoichi Shimizu	6
+	Limit Theorems of Probability Theory: Sequences of Independent Random Variables.	1996	Vygantas Paulauskas V. V. Petrov	6
+ PDF Chat	On distribution functions with a limiting stable distribution function	1953	Harald Bergström	5
+	Independent and stationary sequences of random variables	1971	И. А. Ибрагимов Ю. В. Ліннік J. F. C. Kingmán	5
+	Convergence theorems with a stable limit law	1992	Gerd Christoph Werner Wolf	5
+	Second-Order Chebyshev–Edgeworth and Cornish–Fisher Expansions for Distributions of Statistics Constructed from Samples with Random Sizes	2020	Gerd Christoph М.М. Монахов Vladimir V. Ulyanov	5
+	The Rate of Convergence of the Distributions of Regular Statistics Constructed from Samples with Negatively Binomially Distributed Random Sizes to the Student Distribution	2016	S. V. Gavrilenko V. N. Zubov V. Yu. Korolev	5
+	Non-Asymptotic Analysis of Approximations for Multivariate Statistics	2020	Yasunori Fujikoshi Vladimir V. Ulyanov	4
+	On some statistical models with a random number of observations	2016	Manuel L. Esquível Pedro P. Mota João T. Mexia	4
+	Exact critical values for one-way fixed effects models with random sample sizes	2018	Célia Nunes Gilberto Capistrano Cunha de Andrade Dário Ferreira Sandra S. Ferreira João T. Mexia	4
+ PDF Chat	�ber notwendige und hinreichende Bedingungen f�r Konvergenzgeschwindigkeitsaussagen im Falle einer stabilen Grenzverteilung	1980	Gerd Christoph	4
+	A triptych of discrete distributions related to the stable law	1993	Luc Devroye	4
+	Sums of Independent Random Variables	1975	V. V. Petrov	4
+ PDF Chat	Non-Asymptotic Results for Cornish–Fisher Expansions*	2016	Vladimir V. Ulyanov Makoto Aoshima Y. Fujikoshi	3
+ PDF Chat	Second Order Expansions for High-Dimension Low-Sample-Size Data Statistics in Random Setting	2020	Gerd Christoph Vladimir V. Ulyanov	3
+	New Berry-Esseen and Wasserstein bounds in the CLT for non-randomly centered random sums by probabilistic methods	2015	Christian Döbler	3
+ PDF Chat	Random sample sizes in orthogonal mixed models with stability	2019	Célia Nunes Anacleto César Xavier Mário Dário Ferreira Sandra S. Ferreira João T. Mexia	3
+	The Laplace Distribution and Generalizations	2001	Samuel Kotz Tomaz J. Kozubowski Krzysztof Podgórski	3
+	Discrete stable random variables	1998	Gerd Christoph Karina Schreiber	3
+	Prediction of future generalized order statistics based on exponential distribution with random sample size	2016	H. M. Barakat E. M. Nigm Magdy E. El-Adll M. Yusuf	3
+ PDF Chat	Geometric Representation of High Dimension, Low Sample Size Data	2005	Peter A. Hall J. S. Marron Amnon Neeman	3
+	On Mittag-Leffler functions and related distributions	1990	R. N. Pillai	3
+	Asymptotic expansions for the distributions of functions of a correlation matrix	1979	Sadanori Konishi	3
+	Probability inequalities for sums of independent random variables	1995	V. V. Petrov	3
+	One-Dimensional Stable Distributions	1986	В. М. Золотарев	3
+	Characterization of discrete laws via mixed sums and Markov branching processes	1995	Anthony G. Pakes	3
+ PDF Chat	Error bounds and exponential improvements for the asymptotic expansions of the gamma function and its reciprocal	2015	Gergő Nemes	3
+	On approximations of transformed chi-squared distributions in statistical applications	2006	Vladimir V. Ulyanov Gerd Christoph Y. Fujikoshi	2
+	Normal Approximation by Stein’s Method	2010	Louis H. Y. Chen Larry Goldstein Qi-Man Shao	2
+ PDF Chat	The Accuracy of Infinitely Divisible Approximations to Sums of Independent Variables with Application to Stable Laws	1970	Virool Boonyasombut Jesse M. Shapiro	2
+ PDF Chat	An Edgeworth expansion for symmetric statistics	1997	V. Bentkus Friedrich Götze W. R. van Zwet	2
+	Modern Multivariate Statistical Analysis: A Graduate Course and Handbook	1987	Colin Goodall	2
+	Second Order Expansions for Sample Median with Random Sample Size	2021	Gerd Christoph Vladimir V. Ulyanov V. E. Bening	2
+ PDF Chat	Generalized negative binomial distributions as mixed geometric laws and related limit theorems*	2019	V. Yu. Korolev Alexander Zeifman	2
+	Confidence intervals for quantiles based on samples of random sizes	2017	Jazaa S. Al-Mutairi Mohammad Z. Raqab	2
+	Asymptotic Expansions For The Distribution Function Of The Sample Median Constructed From A Sample With Random Size	2016	V. E. Bening V. Yu. Korolev Alexander Zeifman	2
+ PDF Chat	An estimate of the distribution of the unknown parameters with a random number of independent observations	2017	V. E. Bening	2
+	On the normal approximation of a binomial random sum	2014	J. Sunklodas	2
+	Transfer theorems concerning asymptotic expansions for the distribution functions of statistics constructed from samples with random sizes	2012	V. E. Bening N.K. Galieva V. Yu. Korolev	2
+	SCALE MIXTURES DISTRIBUTIONS IN STATISTICAL MODELLING	2008	S. T. Boris Choy Jennifer Chan	2
+ PDF Chat	Generalized Asymptotic Expansions of Cornish-Fisher Type	1968	G. W. Hill A. W. Davis	2
+	Stein's method and the Laplace distribution	2012	John Pike Haining Ren	2
+	On Distribution of Quadratic Forms in Gaussian Random Variables	1996	Gerd Christoph Yu. V. Prokhorov Vladimir V. Ulyanov	2
+	Infinite divisibility of random variables and their integer parts	1996	Lennart Bondesson G. K. Kristiansen F. W. Steutel	2
+	On the Rate of Convergence to a Stable Law	1981	Peter A. Hall	2
+	On the Influence of Moments on the Rate of Convergence to the Normal Distribution	2010	C. C. Heyde	2
+	Asymptotic Expansions for Median Estimate of a Parameter	1997	M. V. Burnashev	2