×

zbMATH — the first resource for mathematics

Grübel, Rudolf

Compute Distance To:
Author ID: grubel.rudolf Recent zbMATH articles by "Grübel, Rudolf"
Published as: Grübel, Rudolf; Grübel, R.; Gruebel, Rudolf; Gruebel, R.
Documents Indexed: 76 Publications since 1977

Publications by Year

Citations contained in zbMATH Open

57 Publications have been cited 391 times in 294 Documents Cited by Year
Perpetuities with thin tails. Zbl 0862.60046
Goldie, Charles M.; Grübel, Rudolf
40
1996
Decompounding: an estimation problem for Poisson random sums. Zbl 1105.62309
Buchmann, Boris; Grübel, Rudolf
32
2003
Asymptotic distribution theory for Hoare’s selection algorithm. Zbl 0853.60033
Grübel, Rudolf; Rösler, Uwe
27
1996
The length of the shorth. Zbl 0664.62040
Grübel, R.
27
1988
Nonparametric estimation in renewal theory. I: The empirical renewal function. Zbl 0818.62037
Grübel, Rudolf; Pitts, Susan M.
19
1993
On subordinated distributions and generalized renewal measures. Zbl 0613.60007
Grübel, Rudolf
15
1987
Confidence bounds for the adjustment coefficient. Zbl 0856.62094
Pitts, Susan M.; Grübel, Rudolf; Embrechts, Paul
13
1996
Hoare’s selection algorithm: A Markov chain approach. Zbl 0913.60059
Grübel, Rudolf
13
1998
Decompounding Poisson random sums: recursively truncated estimates in the discrete case. Zbl 1078.62020
Buchmann, Boris; Grübel, Rudolf
13
2004
Computation of compound distribution. II: Discretization errors and Richardson extrapolation. Zbl 1106.62347
Grübel, Rudolf; Hermesmeier, Renate
13
2000
Some applications of the fast Fourier transform algorithm in insurance mathematics. Zbl 0764.62089
Embrechts, P.; Grübel, R.; Pitts, S. M.
13
1993
On the multiplicity of the maximum in a discrete random sample. Zbl 1038.62047
Bruss, F. Thomas; Grübel, Rudolf
12
2003
Multivariate counting processes: copulas and beyond. Zbl 1098.62132
Bäuerle, Nicole; Grübel, Rudolf
12
2005
On harmonic renewal measures. Zbl 0586.60087
Grübel, Rudolf
9
1986
Harmonic renewal sequences and the first positive sum. Zbl 0619.60085
Grübel, Rudolf
9
1988
A minimal characterization of the covariance matrix. Zbl 0638.62046
Grübel, R.
8
1988
A functional approach to the stationary waiting time and idle period distributions of the \(GI/G/1\) queue. Zbl 0809.60096
Grübel, Rudolf; Pitts, Susan M.
7
1992
Stochastic models as functionals: Some remarks on the renewal case. Zbl 0672.60087
Grübel, Rudolf
7
1989
Doob-Martin boundary of Rémy’s tree growth chain. Zbl 1387.60119
Evans, Steven N.; Grübel, Rudolf; Wakolbinger, Anton
7
2017
Trickle-down processes and their boundaries. Zbl 1246.60100
Evans, Steven Neil; Grübel, Rudolf; Wakolbinger, Anton
6
2012
A functional central limit theorem for branching random walks, almost sure weak convergence and applications to random trees. Zbl 1367.60028
Grübel, Rudolf; Kabluchko, Zakhar
6
2016
On the silhouette of binary search trees. Zbl 1203.60040
Grübel, Rudolf
5
2009
Tail behaviour of ladder-height distributions in random walks. Zbl 0574.60075
Grübel, Rudolf
5
1985
Functions of discrete probability measures: Rates of convergence in the renewal theorem. Zbl 0506.60090
Gruebel, Rudolf
5
1983
On the number of iterations required by von Neumann addition. Zbl 1053.68051
Grübel, Rudolf; Reimers, Anke
4
2001
Mixed Poisson approximation of node depth distributions in random binary search trees. Zbl 1066.68031
Grübel, Rudolf; Stefanoski, Nikolče
4
2005
On the cumulants of affine equivariant estimators in elliptical families. Zbl 0725.62050
Grübel, Rudolf; Rocke, David M.
4
1990
Edgeworth expansions for profiles of lattice branching random walks. Zbl 1387.60075
Grübel, Rudolf; Kabluchko, Zakhar
4
2017
Renewals for exponentially increasing lifetimes, with an application to digital search trees. Zbl 1125.60089
Dennert, Florian; Grübel, Rudolf
3
2007
Distributional asymptotics in the analysis of algorithms: periodicities and discretization. Zbl 1192.68964
Grübel, Rudolf
3
2007
On the subtree size profile of binary search trees. Zbl 1198.05135
Dennert, Florian; Grübel, Rudolf
3
2010
Multivariate risk processes with interacting intensities. Zbl 1152.60058
Bäuerle, Nicole; Grübel, Rudolf
3
2008
Über unbegrenzt teilbare Verteilungen. Zbl 0504.60018
Gruebel, Rudolf
3
1983
On a class of characterization problems for random convex combinations. Zbl 0936.60012
Baringhaus, Ludwig; Grübel, Rudolf
2
1997
On the median-of-\(K\) version of Hoare’s selection algorithm. Zbl 0946.68058
Grübel, Rudolf
2
1999
Statistical aspects of perpetuities. Zbl 0981.62029
Grübel, Rudolf; Pitts, Susan M.
2
2000
The rank of the current lifetime. Zbl 0805.60088
Grübel, Rudolf
2
1994
Estimation of density functionals. Zbl 0802.62042
Grübel, Rudolf
2
1994
The first divisible sum. Zbl 0814.60084
Barbour, A. D.; Grübel, R.
2
1995
On the total time spent in records by a discrete uniform sequence. Zbl 0994.60058
Grübel, Rudolf; Reimers, Anke
2
2001
Orthogonalization of multivariate location estimators: The orthomedian. Zbl 0867.62048
Grübel, Rudolf
2
1996
Gaps in discrete random samples. Zbl 1187.60005
Grübel, Rudolf; Hitczenko, Paweł
2
2009
Matchmaking and testing for exponentiality in the \(M/G/\infty\) queue. Zbl 1217.60081
Grübel, Rudolf; Wegener, Hendrik
2
2011
Nonparametric two-sample tests for increasing convex order. Zbl 1200.62046
Baringhaus, Ludwig; Grübel, Rudolf
2
2009
Leader election: a Markov chain approach. Zbl 1370.60117
Grübel, Rudolf; Hagemann, Klass
2
2016
Spaces of summable sequences in renewal theory and the theory of Markov chains. Zbl 0491.60091
Davies, Laurie; Gruebel, Rudolf
2
1981
Rarity and exponentiality: an extension of Keilson’s theorem, with applications. Zbl 1077.60024
Grübel, Rudolf; Reich, Marcus
1
2005
A hooray for Poisson approximation. Zbl 1099.68777
Grübel, Rudolf
1
2005
Random binary trees: from the average case analysis to the asymptotics of distributions. (Zufällige binäre Bäume: von der average-case Analyse zur Verteilungsasymptotik.) Zbl 1129.60009
Grübel, Rudolf
1
2006
Search trees: metric aspects and strong limit theorems. Zbl 1294.60009
Grübel, Rudolf
1
2014
Random recursive trees: a boundary theory approach. Zbl 1327.60031
Grübel, Rudolf; Michailow, Igor
1
2015
An application of the renewal theoretic selection principle: The first divisible sum. Zbl 0586.60088
Grübel, R.
1
1985
Perturbation and rearrangement aspects of renewal and harmonic renewal sequences. Zbl 0659.60121
Gruebel, Rudolf; Pitts, Susan M.
1
1990
The fast Fourier transform algorithm in applied probability theory. Zbl 0701.60085
Grübel, Rudolf
1
1989
Über das asymptotische Verhalten von Erneuerungsdichten. Zbl 0519.60089
Gruebel, Rudolf
1
1982
A smoothness property of renewal sequences. Zbl 0535.60078
Davies, P. L.; Grübel, R.
1
1983
Persisting randomness in randomly growing discrete structures: graphs and search trees. Zbl 1392.68318
Grübel, Rudolf
1
2015
Doob-Martin boundary of Rémy’s tree growth chain. Zbl 1387.60119
Evans, Steven N.; Grübel, Rudolf; Wakolbinger, Anton
7
2017
Edgeworth expansions for profiles of lattice branching random walks. Zbl 1387.60075
Grübel, Rudolf; Kabluchko, Zakhar
4
2017
A functional central limit theorem for branching random walks, almost sure weak convergence and applications to random trees. Zbl 1367.60028
Grübel, Rudolf; Kabluchko, Zakhar
6
2016
Leader election: a Markov chain approach. Zbl 1370.60117
Grübel, Rudolf; Hagemann, Klass
2
2016
Random recursive trees: a boundary theory approach. Zbl 1327.60031
Grübel, Rudolf; Michailow, Igor
1
2015
Persisting randomness in randomly growing discrete structures: graphs and search trees. Zbl 1392.68318
Grübel, Rudolf
1
2015
Search trees: metric aspects and strong limit theorems. Zbl 1294.60009
Grübel, Rudolf
1
2014
Trickle-down processes and their boundaries. Zbl 1246.60100
Evans, Steven Neil; Grübel, Rudolf; Wakolbinger, Anton
6
2012
Matchmaking and testing for exponentiality in the \(M/G/\infty\) queue. Zbl 1217.60081
Grübel, Rudolf; Wegener, Hendrik
2
2011
On the subtree size profile of binary search trees. Zbl 1198.05135
Dennert, Florian; Grübel, Rudolf
3
2010
On the silhouette of binary search trees. Zbl 1203.60040
Grübel, Rudolf
5
2009
Gaps in discrete random samples. Zbl 1187.60005
Grübel, Rudolf; Hitczenko, Paweł
2
2009
Nonparametric two-sample tests for increasing convex order. Zbl 1200.62046
Baringhaus, Ludwig; Grübel, Rudolf
2
2009
Multivariate risk processes with interacting intensities. Zbl 1152.60058
Bäuerle, Nicole; Grübel, Rudolf
3
2008
Renewals for exponentially increasing lifetimes, with an application to digital search trees. Zbl 1125.60089
Dennert, Florian; Grübel, Rudolf
3
2007
Distributional asymptotics in the analysis of algorithms: periodicities and discretization. Zbl 1192.68964
Grübel, Rudolf
3
2007
Random binary trees: from the average case analysis to the asymptotics of distributions. (Zufällige binäre Bäume: von der average-case Analyse zur Verteilungsasymptotik.) Zbl 1129.60009
Grübel, Rudolf
1
2006
Multivariate counting processes: copulas and beyond. Zbl 1098.62132
Bäuerle, Nicole; Grübel, Rudolf
12
2005
Mixed Poisson approximation of node depth distributions in random binary search trees. Zbl 1066.68031
Grübel, Rudolf; Stefanoski, Nikolče
4
2005
Rarity and exponentiality: an extension of Keilson’s theorem, with applications. Zbl 1077.60024
Grübel, Rudolf; Reich, Marcus
1
2005
A hooray for Poisson approximation. Zbl 1099.68777
Grübel, Rudolf
1
2005
Decompounding Poisson random sums: recursively truncated estimates in the discrete case. Zbl 1078.62020
Buchmann, Boris; Grübel, Rudolf
13
2004
Decompounding: an estimation problem for Poisson random sums. Zbl 1105.62309
Buchmann, Boris; Grübel, Rudolf
32
2003
On the multiplicity of the maximum in a discrete random sample. Zbl 1038.62047
Bruss, F. Thomas; Grübel, Rudolf
12
2003
On the number of iterations required by von Neumann addition. Zbl 1053.68051
Grübel, Rudolf; Reimers, Anke
4
2001
On the total time spent in records by a discrete uniform sequence. Zbl 0994.60058
Grübel, Rudolf; Reimers, Anke
2
2001
Computation of compound distribution. II: Discretization errors and Richardson extrapolation. Zbl 1106.62347
Grübel, Rudolf; Hermesmeier, Renate
13
2000
Statistical aspects of perpetuities. Zbl 0981.62029
Grübel, Rudolf; Pitts, Susan M.
2
2000
On the median-of-\(K\) version of Hoare’s selection algorithm. Zbl 0946.68058
Grübel, Rudolf
2
1999
Hoare’s selection algorithm: A Markov chain approach. Zbl 0913.60059
Grübel, Rudolf
13
1998
On a class of characterization problems for random convex combinations. Zbl 0936.60012
Baringhaus, Ludwig; Grübel, Rudolf
2
1997
Perpetuities with thin tails. Zbl 0862.60046
Goldie, Charles M.; Grübel, Rudolf
40
1996
Asymptotic distribution theory for Hoare’s selection algorithm. Zbl 0853.60033
Grübel, Rudolf; Rösler, Uwe
27
1996
Confidence bounds for the adjustment coefficient. Zbl 0856.62094
Pitts, Susan M.; Grübel, Rudolf; Embrechts, Paul
13
1996
Orthogonalization of multivariate location estimators: The orthomedian. Zbl 0867.62048
Grübel, Rudolf
2
1996
The first divisible sum. Zbl 0814.60084
Barbour, A. D.; Grübel, R.
2
1995
The rank of the current lifetime. Zbl 0805.60088
Grübel, Rudolf
2
1994
Estimation of density functionals. Zbl 0802.62042
Grübel, Rudolf
2
1994
Nonparametric estimation in renewal theory. I: The empirical renewal function. Zbl 0818.62037
Grübel, Rudolf; Pitts, Susan M.
19
1993
Some applications of the fast Fourier transform algorithm in insurance mathematics. Zbl 0764.62089
Embrechts, P.; Grübel, R.; Pitts, S. M.
13
1993
A functional approach to the stationary waiting time and idle period distributions of the \(GI/G/1\) queue. Zbl 0809.60096
Grübel, Rudolf; Pitts, Susan M.
7
1992
On the cumulants of affine equivariant estimators in elliptical families. Zbl 0725.62050
Grübel, Rudolf; Rocke, David M.
4
1990
Perturbation and rearrangement aspects of renewal and harmonic renewal sequences. Zbl 0659.60121
Gruebel, Rudolf; Pitts, Susan M.
1
1990
Stochastic models as functionals: Some remarks on the renewal case. Zbl 0672.60087
Grübel, Rudolf
7
1989
The fast Fourier transform algorithm in applied probability theory. Zbl 0701.60085
Grübel, Rudolf
1
1989
The length of the shorth. Zbl 0664.62040
Grübel, R.
27
1988
Harmonic renewal sequences and the first positive sum. Zbl 0619.60085
Grübel, Rudolf
9
1988
A minimal characterization of the covariance matrix. Zbl 0638.62046
Grübel, R.
8
1988
On subordinated distributions and generalized renewal measures. Zbl 0613.60007
Grübel, Rudolf
15
1987
On harmonic renewal measures. Zbl 0586.60087
Grübel, Rudolf
9
1986
Tail behaviour of ladder-height distributions in random walks. Zbl 0574.60075
Grübel, Rudolf
5
1985
An application of the renewal theoretic selection principle: The first divisible sum. Zbl 0586.60088
Grübel, R.
1
1985
Functions of discrete probability measures: Rates of convergence in the renewal theorem. Zbl 0506.60090
Gruebel, Rudolf
5
1983
Über unbegrenzt teilbare Verteilungen. Zbl 0504.60018
Gruebel, Rudolf
3
1983
A smoothness property of renewal sequences. Zbl 0535.60078
Davies, P. L.; Grübel, R.
1
1983
Über das asymptotische Verhalten von Erneuerungsdichten. Zbl 0519.60089
Gruebel, Rudolf
1
1982
Spaces of summable sequences in renewal theory and the theory of Markov chains. Zbl 0491.60091
Davies, Laurie; Gruebel, Rudolf
2
1981
all top 5

Cited by 370 Authors

25 Grübel, Rudolf
10 Pitts, Susan M.
7 Hitczenko, Paweł
7 Neininger, Ralph
7 Sulzbach, Henning
6 Duval, Céline
6 Politis, Konstadinos
6 Rösler, Uwe
5 Alsmeyer, Gerold
5 Gugushvili, Shota
4 Croux, Christophe
4 Dembińska, Anna
4 Einmahl, John H. J.
4 Iksanov, Aleksander M.
4 Kabluchko, Zakhar A.
4 Kuba, Markus F.
3 Albrecher, Hansjörg
3 Barbe, Philippe
3 Bäuerle, Nicole
3 Brito, Margarida
3 Conti, Pier Luigi
3 Dyszewski, Piotr
3 Fill, James Allen
3 Freitas, Ana Cristina Moreira
3 Fried, Roland
3 Gao, Zhiqiang
3 Gather, Ursula
3 Khaniyev, Tahir
3 Kortschak, Dominik
3 Mahmoud, Hosam M.
3 Marynych, Alexander V.
3 McCormick, William P.
3 Mikosch, Thomas
3 Panholzer, Alois
3 Prodinger, Helmut
3 Sangüesa, Carmen
3 Sgibnev, Mikhaĭl Sergeevich
3 Spreij, Peter
3 Vernic, Raluca
3 Wesołowski, Jacek
2 Barbour, Andrew D.
2 Bickel, David R.
2 Bingham, Nicholas Hugh
2 Broutin, Nicolas
2 Buchmann, Boris
2 Damek, Ewa
2 Furman, Edward
2 Gerstenberg, Julian
2 Goldie, Charles M.
2 Jasiński, Krzysztof
2 Kappus, Johanna
2 Klivečka, A.
2 Kołodziejek, Bartosz
2 Li, Bo
2 Masiello, Esterina
2 Mnatsakanov, Robert M.
2 Nagaev, Sergey Victorovich
2 Nakama, Takéhiko
2 Nickl, Richard
2 Olive, David J.
2 Polonik, Wolfgang
2 Reiß, Markus
2 Robert, Christian Yann
2 Rocke, David M.
2 Roitershtein, Alexander
2 Rüschendorf, Ludger
2 Shapiro, Alexander
2 Stam, Aart Johannes
2 Tang, Qihe
2 Van Aelst, Stefan
2 van der Meulen, Frank Henri
2 Zhang, Chenhua
2 Zhang, Huiming
2 Zhang, Zhimin
2 Zwart, Bert P.
1 Ackerer, Damien
1 Aguech, Rafik
1 Agulló, José
1 Alashwali, Fatimah
1 Aleškevičienė, Aldona K.
1 Ambroževičiūtẹ, D.
1 Amri, Anis
1 Anastasiadis, Simon
1 Anderson, Kevin Karl
1 Ando, Masakazu
1 Antunes, Nelson
1 Asimit, Alexandru V.
1 Aslam, Shagufta
1 Athreya, Krishna Balasundaram
1 Bae, Taehan
1 Bagdonavičius, Vilijandas B.
1 Baltrūnas, Aleksandras
1 Baumgartner, Benjamin
1 Bebbington, Mark
1 Behme, Anita Diana
1 Beirlant, Jan
1 Berbee, Henry
1 Berkes, István
1 Bernholt, Thorsten
1 Berrendero, Jose Ramon
...and 270 more Authors
all top 5

Cited in 89 Serials

25 Stochastic Processes and their Applications
17 Insurance Mathematics & Economics
13 Journal of Applied Probability
13 Statistics & Probability Letters
13 Bernoulli
11 The Annals of Applied Probability
10 The Annals of Statistics
10 Probability Theory and Related Fields
8 Advances in Applied Probability
8 Journal of Multivariate Analysis
8 Computational Statistics and Data Analysis
7 Journal of Statistical Planning and Inference
6 Theoretical Computer Science
6 Stochastic Models
5 Lithuanian Mathematical Journal
5 The Annals of Probability
5 Communications in Statistics. Theory and Methods
5 Journal of Statistical Computation and Simulation
5 Methodology and Computing in Applied Probability
5 Scandinavian Actuarial Journal
4 Journal of Mathematical Analysis and Applications
4 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
4 Journal of Nonparametric Statistics
4 ASTIN Bulletin
4 Electronic Journal of Statistics
3 Mathematical Notes
3 Metrika
3 Statistics
3 Journal of Theoretical Probability
3 Mathematical Methods of Statistics
3 Electronic Journal of Probability
3 Statistics and Computing
2 Mathematische Semesterberichte
2 Annals of the Institute of Statistical Mathematics
2 Siberian Mathematical Journal
2 Algorithmica
2 Random Structures & Algorithms
2 Combinatorics, Probability and Computing
2 RAIRO. Theoretical Informatics and Applications
2 Journal of the Korean Statistical Society
1 Mathematical Biosciences
1 Scandinavian Journal of Statistics
1 Applied Mathematics and Computation
1 Fuzzy Sets and Systems
1 International Statistical Review
1 Journal of Computational and Applied Mathematics
1 Journal of Functional Analysis
1 Journal of the Mathematical Society of Japan
1 Monatshefte für Mathematik
1 Naval Research Logistics
1 Numerical Functional Analysis and Optimization
1 Proceedings of the American Mathematical Society
1 Statistica Neerlandica
1 Studies in Applied Mathematics
1 Transactions of the American Mathematical Society
1 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
1 European Journal of Combinatorics
1 Advances in Applied Mathematics
1 Annals of Operations Research
1 SIAM Journal on Mathematical Analysis
1 Cybernetics and Systems Analysis
1 Test
1 Computational and Applied Mathematics
1 Mathematical Problems in Engineering
1 European Journal of Control
1 Doklady Mathematics
1 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics
1 Mathematical Methods of Operations Research
1 Annals of Combinatorics
1 Australian & New Zealand Journal of Statistics
1 Extremes
1 Statistical Inference for Stochastic Processes
1 Econometric Theory
1 The ANZIAM Journal
1 Quantitative Finance
1 Acta Mathematica Scientia. Series B. (English Edition)
1 Iranian Journal of Science and Technology. Transaction A: Science
1 Asia-Pacific Financial Markets
1 Statistical Methods and Applications
1 Stochastics
1 ALEA. Latin American Journal of Probability and Mathematical Statistics
1 Frontiers of Mathematics in China
1 Probability Surveys
1 Science China. Mathematics
1 Journal of Probability and Statistics
1 Sankhyā. Series A
1 The Journal of Mathematical Neuroscience
1 Dependence Modeling
1 Modern Stochastics. Theory and Applications

Citations by Year