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Author ID: molchanov.ilya-s Recent zbMATH articles by "Molchanov, Ilya S."
Published as: Molchanov, Ilya; Molchanov, I. S.; Molchanov, Ilya S.; Molchanov, I.; Molchanov, I. Eh.
Documents Indexed: 126 Publications since 1984, including 5 Books
3 Contributions as Editor
Reviewing Activity: 388 Reviews
Co-Authors: 52 Co-Authors with 78 Joint Publications
1,279 Co-Co-Authors
all top 5

Serials

8 Advances in Applied Probability
8 Theory of Probability and Mathematical Statistics
7 Journal of Mathematical Analysis and Applications
6 Teoriya Veroyatnosteĭ i eë Primeneniya
6 Statistics & Probability Letters
4 Stochastic Processes and their Applications
3 Theory of Probability and its Applications
3 Electronic Journal of Probability
3 Bernoulli
3 Finance and Stochastics
2 Scandinavian Journal of Statistics
2 Ukrainian Mathematical Journal
2 Biometrical Journal
2 Biometrika
2 Journal of Applied Probability
2 Journal of Multivariate Analysis
2 Probability and Mathematical Statistics
2 Communications in Statistics. Stochastic Models
2 Journal of Theoretical Probability
2 Journal of Statistical Computation and Simulation
2 Geombinatorics
2 Extremes
2 Communications in Contemporary Mathematics
1 Metrika
1 Advances in Mathematics
1 Annals of the Institute of Statistical Mathematics
1 The Annals of Statistics
1 Applied Mathematics and Computation
1 Econometrica
1 Journal of Econometrics
1 Journal of Mathematical Economics
1 Journal of Soviet Mathematics
1 Journal of Statistical Planning and Inference
1 Mathematische Nachrichten
1 Mathematics of Operations Research
1 Proceedings of the American Mathematical Society
1 Transactions of the American Mathematical Society
1 Advances in Applied Mathematics
1 Insurance Mathematics & Economics
1 Acta Mathematica Hungarica
1 Statistics
1 International Journal of Approximate Reasoning
1 CWI Quarterly
1 The Annals of Applied Probability
1 Stochastics and Stochastics Reports
1 Journal of Mathematical Imaging and Vision
1 Teoriya Veroyatnosteĭ i Matematicheskaya Statistika
1 Electronic Communications in Probability
1 Mathematical Finance
1 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics
1 Methodology and Computing in Applied Probability
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Oberwolfach Reports
1 Econometric Society Monographs
1 Lecture Notes in Mathematics
1 SIAM Journal on Financial Mathematics
1 Annals of Finance
1 Statistics & Risk Modeling
1 Probability Theory and Stochastic Modelling
1 Probability and its Applications
1 Wiley Series in Probability and Mathematical Statistics

Publications by Year

Citations contained in zbMATH Open

96 Publications have been cited 897 times in 684 Documents Cited by Year
Theory of random sets. Zbl 1109.60001
Molchanov, Ilya
210
2005
Statistics of the Boolean model for practitioners and mathematicians. Zbl 0878.62068
Molchanov, I.
57
1997
Central limit theorem for a class of random measures associated with germ-grain models. Zbl 0941.60025
Heinrich, Lothar; Molchanov, Ilya S.
39
1999
On strong laws of large numbers for random upper semicontinuous functions. Zbl 0959.60003
Molchanov, Ilya S.
33
1999
Strictly stable distributions on convex cones. Zbl 1196.60028
Davydov, Youri; Molchanov, Ilya; Zuyev, Sergei
31
2008
Theory of random sets. 2nd edition. Zbl 1406.60006
Molchanov, Ilya
31
2017
Multivariate risks and depth-trimmed regions. Zbl 1164.91027
Cascos, Ignacio; Molchanov, Ilya
30
2007
A limit theorem for solutions of inequalities. Zbl 0915.60040
Molchanov, Ilya S.
27
1998
Multivariate risk measures: a constructive approach based on selections. Zbl 1368.91183
Molchanov, Ilya; Cascos, Ignacio
27
2016
Sharp identification regions in models with convex moment predictions. Zbl 1242.91158
Beresteanu, Arie; Molchanov, Ilya; Molinari, Francesca
26
2011
Convex geometry of max-stable distributions. Zbl 1164.60003
Molchanov, Ilya
24
2008
Statistics of the Boolean model: From the estimation of means to the estimation of distributions. Zbl 0834.62096
Molchanov, Ilya S.
19
1995
The law of large numbers in a metric space with a convex combination operation. Zbl 1113.60014
Terán, Pedro; Molchanov, Ilya
18
2006
Convex and star-shaped sets associated with multivariate stable distributions. I: Moments and densities. Zbl 1196.60029
Molchanov, Ilya
15
2009
Variational analysis of functionals of Poisson processes. Zbl 1018.49022
Molchanov, Ilya; Zuyev, Sergei
14
2000
Limit theorems for unions of random closed sets. Zbl 0790.60015
Molchanov, Ilya S.
12
1993
Limit theorems for diameter of a random sample in the unit ball. Zbl 1164.62003
Mayer, Michael; Molchanov, Ilya
12
2007
Max-stable random sup-measures with comonotonic tail dependence. Zbl 1346.60072
Molchanov, Ilya; Strokorb, Kirstin
11
2016
Invariance properties of random vectors and stochastic processes based on the zonoid concept. Zbl 1312.60005
Molchanov, Ilya; Schmutz, Michael; Stucki, Kaspar
11
2014
Asymptotic properties of estimators for parameters of the Boolean model. Zbl 0806.62078
Molchanov, Ilya; Stoyan, Dietrich
10
1994
Multivariate extension of put-call symmetry. Zbl 1200.91292
Molchanov, Ilya; Schmutz, Michael
10
2010
Conditional cores and conditional convex hulls of random sets. Zbl 1479.60019
Lépinette, Emmanuel; Molchanov, Ilya
10
2019
Sequential methods for design-adaptive estimation of discontinuities in regression curves and surfaces. Zbl 1028.62069
Hall, Peter; Molchanov, Ilya
9
2003
Partial identification using random set theory. Zbl 1441.62607
Beresteanu, Arie; Molchanov, Ilya; Molinari, Francesca
8
2012
Random sets in econometrics. Zbl 1464.62008
Molchanov, Ilya; Molinari, Francesca
7
2018
Generalized expectations of random closed sets. Zbl 0936.60006
Molchanov, I. S.
7
1995
New perspectives in stochastic geometry. Zbl 1183.60001
7
2010
Stationarity of multivariate particle systems. Zbl 1321.60072
Molchanov, Ilya; Stucki, Kaspar
7
2013
Multifractional Poisson process, multistable subordinator and related limit theorems. Zbl 1326.60049
Molchanov, Ilya; Ralchenko, Kostiantyn
7
2015
Continued fractions built from convex sets and convex functions. Zbl 1372.52012
Molchanov, Ilya
7
2015
A limit theorem for scaled vacancies of the Boolean model. Zbl 0897.60013
Molchanov, I. S.
6
1996
On the convex hull of symmetric stable processes. Zbl 1284.60094
Kampf, Jürgen; Last, Günter; Molchanov, Ilya
6
2012
Regularity conditions in the realisability problem with applications to point processes and random closed sets. Zbl 1358.60022
Lachieze-Rey, Raphael; Molchanov, Ilya
6
2015
Limit theorems for unions of random sets under multiplicative normalization. Zbl 0807.60015
Molchanov, I. S.
6
1993
Estimation of the size distribution of spherical grains in the Boolean model. Zbl 0727.60017
Molchanov, Ilya S.
5
1990
A general law of large numbers, with applications. Zbl 1111.60004
Terán, Pedro; Molchanov, Ilya
5
2006
Intragroup transfers, intragroup diversification and their risk assessment. Zbl 1398.91330
Haier, Andreas; Molchanov, Ilya; Schmutz, Michael
5
2016
Smoothing techniques and estimation methods for nonstationary Boolean models with applications to coverage processes. Zbl 1066.62523
Molchanov, I. S.; Chiu, S. N.
4
2000
Tangent sets in the space of measures: with applications to variational analysis. Zbl 1053.49016
Molchanov, Ilya; Zuyev, Sergei
4
2000
Distance transforms for real-valued functions. Zbl 1030.68097
Molchanov, Ilya S.; Terán, Pedro
4
2003
Shot noise weighted processes: A new family of spatial point processes. Zbl 0911.60025
van Lieshout, M. N. M.; Molchanov, I. S.
4
1998
Empirical estimation of distribution quantiles of random closed sets. Zbl 0745.62031
Molchanov, I. S.
4
1990
Exchangeability-type properties of asset prices. Zbl 1233.60005
Molchanov, Ilya; Schmutz, Michael
4
2011
Link-save trading. Zbl 1142.91532
Kaval, K.; Molchanov, I.
4
2006
Some limit theorems for extremal and union shot-noise processes. Zbl 0829.60039
Heinrich, L.; Molchanov, I. S.
4
1994
Series representation of time-stable stochastic processes. Zbl 1411.60073
Kopp, Christoph; Molchanov, Ilya
4
2018
Convex hulls of Lévy processes. Zbl 1348.60071
Molchanov, Ilya; Wespi, Florian
4
2016
The semigroup of metric measure spaces and its infinitely divisible probability measures. Zbl 1355.43002
Evans, Steven N.; Molchanov, Ilya
4
2017
A stochastic order for random vectors and random sets based on the Aumann expectation. Zbl 1103.60303
Fernández, Ignacio Cascos; Molchanov, Ilya
3
2003
Coverage of the whole space. Zbl 1041.60013
Molchanov, Ilya; Scherbakov, Vadim
3
2003
Statistical problems for random sets. Zbl 0887.62095
Molchanov, Ilya
3
1997
Stability for random measures, point processes and discrete semigroups. Zbl 1339.60054
Davydov, Youri; Molchanov, Ilya; Zuyev, Sergei
3
2011
A generalisation of the fractional Brownian field based on non-Euclidean norms. Zbl 1319.60109
Molchanov, Ilya; Ralchenko, Kostiantyn
3
2015
Polar decomposition of scale-homogeneous measures with application to Lévy measures of strictly stable laws. Zbl 1437.28005
Evans, Steven N.; Molchanov, Ilya
3
2018
Optimisation of linear unbiased intensity estimators for point processes. Zbl 1083.62077
Mrkvička, Tomáš; Molchanov, Ilya
3
2005
A consistent estimate of parameters of Boolean models of random closed sets. Zbl 0776.62020
Molchanov, I. S.
3
1991
A new graph related to the directions of nearest neighbours in a point process. Zbl 1031.60040
Chiu, S. N.; Molchanov, I. S.
2
2003
Maximum likelihood estimation for germination-growth processes with application to neurotransmitters data. Zbl 1042.62016
Chiu, S. N.; Molchanov, I. S.; Quine, M. P.
2
2003
Applications of random sets in image analysis. How to average a cat and a dog? Zbl 1094.68109
Molchanov, Ilya S.
2
2004
Optimisation in space of measures and optimal design. Zbl 1031.62058
Molchanov, Ilya; Zuyev, Sergei
2
2004
On convergence of empirical accompanying functionals of stationary random sets. Zbl 0664.60018
Molchanov, I. S.
2
1989
Random sets. A survey of results and applications. Zbl 0754.60019
Molchanov, I. S.
2
1991
Structure of strictly Markov marked random closed sets. Zbl 0575.60013
Molchanov, I. S.
2
1985
Empirical estimation of quantiles of distributions of random closed sets. Zbl 0727.62041
Molchanov, I. S.
2
1990
Bivariate distributions with ordered marginals. Zbl 1435.60018
Arnold, Sebastian; Molchanov, Ilya; Ziegel, Johanna F.
2
2020
Directional analysis of fibre processes related to Boolean models. Zbl 0811.60009
Molchanov, I. S.; Stoyan, D.
2
1994
Uniform laws of great numbers for empirical accompanying functionals on random closed sets. Zbl 0631.60034
Molchanov, I. S.
2
1987
On the convergence of random processes generated by polyhedral approximation of convex compacts. Zbl 0852.60011
Molchanov, I. S.
2
1995
Statistical models of random polyhedra. Zbl 0851.60010
Molchanov, I. S.; Stoyan, D.
2
1996
Random sets in finance and econometrics. Zbl 1201.60013
Molchanov, Ilya
2
2010
Clustering methods based on variational analysis in the space of measures. Zbl 1099.62521
van Lieshout, M. N. M.; Molchanov, I. S.; Zuyev, S. A.
1
2001
Averaging of random sets and binary images. Zbl 0927.60010
Molchanov, Ilya S.
1
1998
Handling with spatial censored observations in statistics of Boolean models of random sets. Zbl 0760.62089
Molchanov, Ilya S.
1
1992
Characterization of universal classes in the Glivenko-Cantelli theorem for random closed sets. Zbl 0696.60015
Molchanov, I. S.
1
1989
Uniform laws of large numbers for empirical associated functionals of random closed sets. Zbl 0644.60028
Molchanov, I. S.
1
1987
A generalization of the Choquet theorem for random sets with a given class of realizations. Zbl 0541.60010
Molchanov, I. Eh.
1
1984
Limit theorems for convex hulls of random sets. Zbl 0779.60011
Molchanov, Ilya S.
1
1993
Marked random sets. Zbl 0575.60012
Molchanov, I. Eh.
1
1984
New perspectives in stochastic geometry. Abstracts from the workshop held October 19th – October 25th, 2008. Zbl 1177.60004
1
2008
Optimal Poisson quantisation. Zbl 1128.60038
Molchanov, Ilya; Tontchev, Nikolay
1
2007
Optimal approximation and quantisation. Zbl 1132.49023
Molchanov, Ilya; Tontchev, Nikolay
1
2007
Stable distributions and harmonic analysis on convex cones. Zbl 1112.60006
Davydov, Youri; Molchanov, Ilya; Zuyev, Sergei
1
2007
Foundations of stochastic geometry and theory of random sets. Zbl 1296.60022
Molchanov, Ilya
1
2013
Diagonal Minkowski classes, zonoid equivalence, and stable laws. Zbl 1455.52003
Molchanov, Ilya; Nagel, Felix
1
2021
Intersections and shift functions of strong Markov random closed sets. Zbl 0821.60022
Molchanov, Ilya S.
1
1993
An elementary renewal theorem for random compact convex sets. Zbl 0835.60006
Molchanov, Ilya S.; Omey, Edward; Kozarovitzky, Eugene
1
1995
A limit theorem for intersections of random semi-spaces. Zbl 0861.60056
Molchanov, I. S.
1
1993
Set-valued estimators for mean bodies related to Boolean models. Zbl 0855.62081
Molchanov, I. S.
1
1996
Choosing a random distribution with prescribed risks. Zbl 1284.60098
Cascos, Ignacio; Molchanov, Ilya
1
2013
On distributions of random closed sets and expected convex hulls. Zbl 0789.60009
Molchanov, Ilya S.
1
1993
Lift expectations of random sets. Zbl 1407.62171
Diaye, Marc-Arthur; Koshevoy, Gleb A.; Molchanov, Ilya
1
2019
Nonlinear expectations of random sets. Zbl 1461.91283
Molchanov, Ilya; Mühlemann, Anja
1
2021
Risk arbitrage and hedging to acceptability under transaction costs. Zbl 1461.91317
Lépinette, Emmanuel; Molchanov, Ilya
1
2021
Multiasset derivatives and joint distributions of asset prices. Zbl 1418.91528
Molchanov, Ilya; Schmutz, Michael
1
2014
Uniform strong law of large numbers for random signed measures. Zbl 1481.60094
Klesov, O. I.; Molchanov, I.
1
2019
Variational calculus in the space of measures and optimal design. Zbl 1423.62081
Molchanov, Ilya; Zuyev, Sergei
1
2001
Diagonal Minkowski classes, zonoid equivalence, and stable laws. Zbl 1455.52003
Molchanov, Ilya; Nagel, Felix
1
2021
Nonlinear expectations of random sets. Zbl 1461.91283
Molchanov, Ilya; Mühlemann, Anja
1
2021
Risk arbitrage and hedging to acceptability under transaction costs. Zbl 1461.91317
Lépinette, Emmanuel; Molchanov, Ilya
1
2021
Bivariate distributions with ordered marginals. Zbl 1435.60018
Arnold, Sebastian; Molchanov, Ilya; Ziegel, Johanna F.
2
2020
Conditional cores and conditional convex hulls of random sets. Zbl 1479.60019
Lépinette, Emmanuel; Molchanov, Ilya
10
2019
Lift expectations of random sets. Zbl 1407.62171
Diaye, Marc-Arthur; Koshevoy, Gleb A.; Molchanov, Ilya
1
2019
Uniform strong law of large numbers for random signed measures. Zbl 1481.60094
Klesov, O. I.; Molchanov, I.
1
2019
Random sets in econometrics. Zbl 1464.62008
Molchanov, Ilya; Molinari, Francesca
7
2018
Series representation of time-stable stochastic processes. Zbl 1411.60073
Kopp, Christoph; Molchanov, Ilya
4
2018
Polar decomposition of scale-homogeneous measures with application to Lévy measures of strictly stable laws. Zbl 1437.28005
Evans, Steven N.; Molchanov, Ilya
3
2018
Theory of random sets. 2nd edition. Zbl 1406.60006
Molchanov, Ilya
31
2017
The semigroup of metric measure spaces and its infinitely divisible probability measures. Zbl 1355.43002
Evans, Steven N.; Molchanov, Ilya
4
2017
Multivariate risk measures: a constructive approach based on selections. Zbl 1368.91183
Molchanov, Ilya; Cascos, Ignacio
27
2016
Max-stable random sup-measures with comonotonic tail dependence. Zbl 1346.60072
Molchanov, Ilya; Strokorb, Kirstin
11
2016
Intragroup transfers, intragroup diversification and their risk assessment. Zbl 1398.91330
Haier, Andreas; Molchanov, Ilya; Schmutz, Michael
5
2016
Convex hulls of Lévy processes. Zbl 1348.60071
Molchanov, Ilya; Wespi, Florian
4
2016
Multifractional Poisson process, multistable subordinator and related limit theorems. Zbl 1326.60049
Molchanov, Ilya; Ralchenko, Kostiantyn
7
2015
Continued fractions built from convex sets and convex functions. Zbl 1372.52012
Molchanov, Ilya
7
2015
Regularity conditions in the realisability problem with applications to point processes and random closed sets. Zbl 1358.60022
Lachieze-Rey, Raphael; Molchanov, Ilya
6
2015
A generalisation of the fractional Brownian field based on non-Euclidean norms. Zbl 1319.60109
Molchanov, Ilya; Ralchenko, Kostiantyn
3
2015
Invariance properties of random vectors and stochastic processes based on the zonoid concept. Zbl 1312.60005
Molchanov, Ilya; Schmutz, Michael; Stucki, Kaspar
11
2014
Multiasset derivatives and joint distributions of asset prices. Zbl 1418.91528
Molchanov, Ilya; Schmutz, Michael
1
2014
Stationarity of multivariate particle systems. Zbl 1321.60072
Molchanov, Ilya; Stucki, Kaspar
7
2013
Foundations of stochastic geometry and theory of random sets. Zbl 1296.60022
Molchanov, Ilya
1
2013
Choosing a random distribution with prescribed risks. Zbl 1284.60098
Cascos, Ignacio; Molchanov, Ilya
1
2013
Partial identification using random set theory. Zbl 1441.62607
Beresteanu, Arie; Molchanov, Ilya; Molinari, Francesca
8
2012
On the convex hull of symmetric stable processes. Zbl 1284.60094
Kampf, Jürgen; Last, Günter; Molchanov, Ilya
6
2012
Sharp identification regions in models with convex moment predictions. Zbl 1242.91158
Beresteanu, Arie; Molchanov, Ilya; Molinari, Francesca
26
2011
Exchangeability-type properties of asset prices. Zbl 1233.60005
Molchanov, Ilya; Schmutz, Michael
4
2011
Stability for random measures, point processes and discrete semigroups. Zbl 1339.60054
Davydov, Youri; Molchanov, Ilya; Zuyev, Sergei
3
2011
Multivariate extension of put-call symmetry. Zbl 1200.91292
Molchanov, Ilya; Schmutz, Michael
10
2010
New perspectives in stochastic geometry. Zbl 1183.60001
7
2010
Random sets in finance and econometrics. Zbl 1201.60013
Molchanov, Ilya
2
2010
Convex and star-shaped sets associated with multivariate stable distributions. I: Moments and densities. Zbl 1196.60029
Molchanov, Ilya
15
2009
Strictly stable distributions on convex cones. Zbl 1196.60028
Davydov, Youri; Molchanov, Ilya; Zuyev, Sergei
31
2008
Convex geometry of max-stable distributions. Zbl 1164.60003
Molchanov, Ilya
24
2008
New perspectives in stochastic geometry. Abstracts from the workshop held October 19th – October 25th, 2008. Zbl 1177.60004
1
2008
Multivariate risks and depth-trimmed regions. Zbl 1164.91027
Cascos, Ignacio; Molchanov, Ilya
30
2007
Limit theorems for diameter of a random sample in the unit ball. Zbl 1164.62003
Mayer, Michael; Molchanov, Ilya
12
2007
Optimal Poisson quantisation. Zbl 1128.60038
Molchanov, Ilya; Tontchev, Nikolay
1
2007
Optimal approximation and quantisation. Zbl 1132.49023
Molchanov, Ilya; Tontchev, Nikolay
1
2007
Stable distributions and harmonic analysis on convex cones. Zbl 1112.60006
Davydov, Youri; Molchanov, Ilya; Zuyev, Sergei
1
2007
The law of large numbers in a metric space with a convex combination operation. Zbl 1113.60014
Terán, Pedro; Molchanov, Ilya
18
2006
A general law of large numbers, with applications. Zbl 1111.60004
Terán, Pedro; Molchanov, Ilya
5
2006
Link-save trading. Zbl 1142.91532
Kaval, K.; Molchanov, I.
4
2006
Theory of random sets. Zbl 1109.60001
Molchanov, Ilya
210
2005
Optimisation of linear unbiased intensity estimators for point processes. Zbl 1083.62077
Mrkvička, Tomáš; Molchanov, Ilya
3
2005
Applications of random sets in image analysis. How to average a cat and a dog? Zbl 1094.68109
Molchanov, Ilya S.
2
2004
Optimisation in space of measures and optimal design. Zbl 1031.62058
Molchanov, Ilya; Zuyev, Sergei
2
2004
Sequential methods for design-adaptive estimation of discontinuities in regression curves and surfaces. Zbl 1028.62069
Hall, Peter; Molchanov, Ilya
9
2003
Distance transforms for real-valued functions. Zbl 1030.68097
Molchanov, Ilya S.; Terán, Pedro
4
2003
A stochastic order for random vectors and random sets based on the Aumann expectation. Zbl 1103.60303
Fernández, Ignacio Cascos; Molchanov, Ilya
3
2003
Coverage of the whole space. Zbl 1041.60013
Molchanov, Ilya; Scherbakov, Vadim
3
2003
A new graph related to the directions of nearest neighbours in a point process. Zbl 1031.60040
Chiu, S. N.; Molchanov, I. S.
2
2003
Maximum likelihood estimation for germination-growth processes with application to neurotransmitters data. Zbl 1042.62016
Chiu, S. N.; Molchanov, I. S.; Quine, M. P.
2
2003
Clustering methods based on variational analysis in the space of measures. Zbl 1099.62521
van Lieshout, M. N. M.; Molchanov, I. S.; Zuyev, S. A.
1
2001
Variational calculus in the space of measures and optimal design. Zbl 1423.62081
Molchanov, Ilya; Zuyev, Sergei
1
2001
Variational analysis of functionals of Poisson processes. Zbl 1018.49022
Molchanov, Ilya; Zuyev, Sergei
14
2000
Smoothing techniques and estimation methods for nonstationary Boolean models with applications to coverage processes. Zbl 1066.62523
Molchanov, I. S.; Chiu, S. N.
4
2000
Tangent sets in the space of measures: with applications to variational analysis. Zbl 1053.49016
Molchanov, Ilya; Zuyev, Sergei
4
2000
Central limit theorem for a class of random measures associated with germ-grain models. Zbl 0941.60025
Heinrich, Lothar; Molchanov, Ilya S.
39
1999
On strong laws of large numbers for random upper semicontinuous functions. Zbl 0959.60003
Molchanov, Ilya S.
33
1999
A limit theorem for solutions of inequalities. Zbl 0915.60040
Molchanov, Ilya S.
27
1998
Shot noise weighted processes: A new family of spatial point processes. Zbl 0911.60025
van Lieshout, M. N. M.; Molchanov, I. S.
4
1998
Averaging of random sets and binary images. Zbl 0927.60010
Molchanov, Ilya S.
1
1998
Statistics of the Boolean model for practitioners and mathematicians. Zbl 0878.62068
Molchanov, I.
57
1997
Statistical problems for random sets. Zbl 0887.62095
Molchanov, Ilya
3
1997
A limit theorem for scaled vacancies of the Boolean model. Zbl 0897.60013
Molchanov, I. S.
6
1996
Statistical models of random polyhedra. Zbl 0851.60010
Molchanov, I. S.; Stoyan, D.
2
1996
Set-valued estimators for mean bodies related to Boolean models. Zbl 0855.62081
Molchanov, I. S.
1
1996
Statistics of the Boolean model: From the estimation of means to the estimation of distributions. Zbl 0834.62096
Molchanov, Ilya S.
19
1995
Generalized expectations of random closed sets. Zbl 0936.60006
Molchanov, I. S.
7
1995
On the convergence of random processes generated by polyhedral approximation of convex compacts. Zbl 0852.60011
Molchanov, I. S.
2
1995
An elementary renewal theorem for random compact convex sets. Zbl 0835.60006
Molchanov, Ilya S.; Omey, Edward; Kozarovitzky, Eugene
1
1995
Asymptotic properties of estimators for parameters of the Boolean model. Zbl 0806.62078
Molchanov, Ilya; Stoyan, Dietrich
10
1994
Some limit theorems for extremal and union shot-noise processes. Zbl 0829.60039
Heinrich, L.; Molchanov, I. S.
4
1994
Directional analysis of fibre processes related to Boolean models. Zbl 0811.60009
Molchanov, I. S.; Stoyan, D.
2
1994
Limit theorems for unions of random closed sets. Zbl 0790.60015
Molchanov, Ilya S.
12
1993
Limit theorems for unions of random sets under multiplicative normalization. Zbl 0807.60015
Molchanov, I. S.
6
1993
Limit theorems for convex hulls of random sets. Zbl 0779.60011
Molchanov, Ilya S.
1
1993
Intersections and shift functions of strong Markov random closed sets. Zbl 0821.60022
Molchanov, Ilya S.
1
1993
A limit theorem for intersections of random semi-spaces. Zbl 0861.60056
Molchanov, I. S.
1
1993
On distributions of random closed sets and expected convex hulls. Zbl 0789.60009
Molchanov, Ilya S.
1
1993
Handling with spatial censored observations in statistics of Boolean models of random sets. Zbl 0760.62089
Molchanov, Ilya S.
1
1992
A consistent estimate of parameters of Boolean models of random closed sets. Zbl 0776.62020
Molchanov, I. S.
3
1991
Random sets. A survey of results and applications. Zbl 0754.60019
Molchanov, I. S.
2
1991
Estimation of the size distribution of spherical grains in the Boolean model. Zbl 0727.60017
Molchanov, Ilya S.
5
1990
Empirical estimation of distribution quantiles of random closed sets. Zbl 0745.62031
Molchanov, I. S.
4
1990
Empirical estimation of quantiles of distributions of random closed sets. Zbl 0727.62041
Molchanov, I. S.
2
1990
On convergence of empirical accompanying functionals of stationary random sets. Zbl 0664.60018
Molchanov, I. S.
2
1989
Characterization of universal classes in the Glivenko-Cantelli theorem for random closed sets. Zbl 0696.60015
Molchanov, I. S.
1
1989
Uniform laws of great numbers for empirical accompanying functionals on random closed sets. Zbl 0631.60034
Molchanov, I. S.
2
1987
Uniform laws of large numbers for empirical associated functionals of random closed sets. Zbl 0644.60028
Molchanov, I. S.
1
1987
Structure of strictly Markov marked random closed sets. Zbl 0575.60013
Molchanov, I. S.
2
1985
A generalization of the Choquet theorem for random sets with a given class of realizations. Zbl 0541.60010
Molchanov, I. Eh.
1
1984
Marked random sets. Zbl 0575.60012
Molchanov, I. Eh.
1
1984
all top 5

Cited by 840 Authors

48 Molchanov, Ilya S.
18 Terán, Pedro
16 Heinrich, Lothar
16 Schmidt, Volker
12 Hu, Yijun
10 Chen, Yanhong
10 Last, Günter
10 Lépinette, Emmanuel
10 López-Díaz, Miguel
10 Zuyev, Sergei
9 Colubi, Ana
9 Hashorva, Enkelejd
9 Hug, Daniel
8 Cascos, Ignacio
8 Gil, María Angeles
8 Penrose, Mathew D.
8 Rudloff, Birgit
7 Cuevas, Antonio
7 Feinstein, Zachary
7 Fraiman, Ricardo
7 Pawlas, Zbyněk
7 Quang, Nguyen Van
7 Thäle, Christoph
7 Wang, Yizao
7 Yukich, Joseph Elliott
6 Davydov, Youri
6 Kabluchko, Zakhar A.
6 Mai, Jan-Frederik
6 Schreiber, Tomasz
6 Schulte, Matthias
6 Trutschnig, Wolfgang
5 Ballani, Felix
5 Dombry, Clément
5 Gloaguen, Catherine
5 González-Rodríguez, Gil
5 Hamel, Andreas H.
5 Hirsch, Christian
5 Kaido, Hiroaki
5 Montenegro, Manuel
5 Mosler, Karl Clemens
5 Nagel, Werner
5 Rotem, Liran
5 Schlather, Martin
5 Schmelzer, Bernhard
5 Schmutz, Michael
5 Staňková Helisová, Kateřina
5 Thuan, Nguyen Tran
5 Villa, Elena
4 Ararat, Çağın
4 Brunel, Victor-Emmanuel
4 Calka, Pierre
4 Capasso, Vincenzo
4 Davini, Andrea
4 Ginsbourger, David
4 Hong, Dug Hun
4 Lachièze-Rey, Raphaël
4 Molinari, Francesca
4 Mozharovskyi, Pavlo
4 Neuhäuser, David Werner
4 Nguyen, Hung Trung
4 Polonik, Wolfgang
4 Resnick, Sidney Ira
4 Samorodnitsky, Gennady Pinkhosovich
4 Segers, Johan
4 Siconolfi, Antonio
4 Spodarev, Evgueni
4 Stoev, Stilian A.
4 Strokorb, Kirstin
3 Baíllo, Amparo
3 Bect, Julien
3 Bhattacharya, Ayan
3 Blanco-Fernández, Angela
3 Bongiorno, Enea G.
3 Camerlenghi, Federico
3 Chen, Yen-Chi
3 Cholaquidis, Alejandro
3 Das, Bikramjit
3 Davydov, Yu. A.
3 Destercke, Sébastien
3 Dubois, Didier
3 Emery, Xavier
3 Infusino, Maria
3 Kim, Yun Kyong
3 Kohlas, Jürg
3 Kuna, Tobias
3 Lavancier, Frédéric
3 Li, Shoumei
3 Lubiano, María Asunción
3 Micheas, Athanasios Christou
3 Michel, Julien
3 Milman, Vitali D.
3 Moller, Jesper
3 Mrkvička, Tomáš
3 Nguyen, Pham Tri
3 Pennanen, Teemu
3 Privault, Nicolas
3 Ramos-Guajardo, Ana Belén
3 Ricciuti, Costantino
3 Roy, Rahul K.
3 Scherer, Matthias
...and 740 more Authors
all top 5

Cited in 185 Serials

36 Advances in Applied Probability
32 Statistics & Probability Letters
25 Fuzzy Sets and Systems
25 International Journal of Approximate Reasoning
22 Journal of Econometrics
21 Journal of Multivariate Analysis
19 Bernoulli
19 Extremes
18 Journal of Mathematical Analysis and Applications
13 The Annals of Applied Probability
13 Stochastic Processes and their Applications
12 The Annals of Statistics
12 Information Sciences
10 Methodology and Computing in Applied Probability
9 Scandinavian Journal of Statistics
9 Advances in Mathematics
9 Insurance Mathematics & Economics
9 Stochastic Analysis and Applications
9 Journal of Theoretical Probability
9 Computational Statistics and Data Analysis
9 Electronic Journal of Probability
8 The Annals of Probability
8 Journal of Statistical Computation and Simulation
8 Finance and Stochastics
7 Lithuanian Mathematical Journal
7 Stochastics
6 Journal of Statistical Physics
6 Annals of the Institute of Statistical Mathematics
6 Journal of Statistical Planning and Inference
6 Transactions of the American Mathematical Society
6 Probability Theory and Related Fields
6 Stochastic Models
5 Journal of Applied Probability
5 Kybernetika
5 Annals of Operations Research
5 ALEA. Latin American Journal of Probability and Mathematical Statistics
5 Electronic Journal of Statistics
4 Journal of Optimization Theory and Applications
4 Statistical Science
4 Communications in Statistics. Theory and Methods
4 Test
4 Positivity
4 International Journal of Theoretical and Applied Finance
4 Mathematics and Financial Economics
4 Dependence Modeling
3 Journal of Mathematical Economics
3 Proceedings of the American Mathematical Society
3 Advances in Applied Mathematics
3 Probability and Mathematical Statistics
3 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
3 Journal of Mathematical Imaging and Vision
3 Journal of Nonparametric Statistics
3 Mathematical Finance
3 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics
3 Econometric Theory
3 Comptes Rendus. Mathématique. Académie des Sciences, Paris
3 Mathematical Geosciences
3 Set-Valued and Variational Analysis
3 SIAM/ASA Journal on Uncertainty Quantification
2 Discrete Applied Mathematics
2 Metrika
2 Biometrics
2 Journal of the American Statistical Association
2 Journal of Economic Theory
2 Mathematische Nachrichten
2 Random Structures & Algorithms
2 Economics Letters
2 European Journal of Operational Research
2 Calculus of Variations and Partial Differential Equations
2 Journal of Mathematical Sciences (New York)
2 Journal of Convex Analysis
2 Soft Computing
2 Mathematical Methods of Operations Research
2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
2 Australian & New Zealand Journal of Statistics
2 Journal of Applied Statistics
2 Communications in Contemporary Mathematics
2 Quantitative Finance
2 SIAM Journal on Financial Mathematics
2 Journal of Computational and Graphical Statistics
2 Journal of Agricultural, Biological, and Environmental Statistics
2 Statistics & Risk Modeling
2 Modern Stochastics. Theory and Applications
1 The Canadian Journal of Statistics
1 Communications in Mathematical Physics
1 International Journal of General Systems
1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
1 Problems of Information Transmission
1 Ukrainian Mathematical Journal
1 Theory of Probability and its Applications
1 Acta Mathematica Vietnamica
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Annales Polonici Mathematici
1 Applied Mathematics and Computation
1 Applied Mathematics and Optimization
1 Biometrical Journal
1 Geometriae Dedicata
1 International Statistical Review
1 Journal of Approximation Theory
1 Journal of Differential Equations
...and 85 more Serials
all top 5

Cited in 43 Fields

420 Probability theory and stochastic processes (60-XX)
245 Statistics (62-XX)
101 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
58 Convex and discrete geometry (52-XX)
57 Measure and integration (28-XX)
31 Numerical analysis (65-XX)
31 Computer science (68-XX)
27 Functional analysis (46-XX)
27 Operations research, mathematical programming (90-XX)
21 Real functions (26-XX)
19 Calculus of variations and optimal control; optimization (49-XX)
19 Statistical mechanics, structure of matter (82-XX)
14 Dynamical systems and ergodic theory (37-XX)
11 General topology (54-XX)
11 Information and communication theory, circuits (94-XX)
10 Mathematical logic and foundations (03-XX)
10 Combinatorics (05-XX)
10 Differential geometry (53-XX)
10 Biology and other natural sciences (92-XX)
10 Systems theory; control (93-XX)
6 Partial differential equations (35-XX)
6 Geophysics (86-XX)
5 Approximations and expansions (41-XX)
5 Integral equations (45-XX)
5 Operator theory (47-XX)
4 Order, lattices, ordered algebraic structures (06-XX)
4 Ordinary differential equations (34-XX)
4 Integral transforms, operational calculus (44-XX)
3 Difference and functional equations (39-XX)
3 Algebraic topology (55-XX)
2 Group theory and generalizations (20-XX)
2 Abstract harmonic analysis (43-XX)
2 Mechanics of deformable solids (74-XX)
1 History and biography (01-XX)
1 Topological groups, Lie groups (22-XX)
1 Functions of a complex variable (30-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Geometry (51-XX)
1 Global analysis, analysis on manifolds (58-XX)
1 Fluid mechanics (76-XX)
1 Optics, electromagnetic theory (78-XX)
1 Quantum theory (81-XX)

Citations by Year