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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.
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 Australian & New Zealand Journal of 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

102 Publications have been cited 1,113 times in 839 Documents Cited by Year
Theory of random sets. Zbl 1109.60001
Molchanov, Ilya
300
2005
Statistics of the Boolean model for practitioners and mathematicians. Zbl 0878.62068
Molchanov, I.
60
1997
Theory of random sets. 2nd edition. Zbl 1406.60006
Molchanov, Ilya
56
2017
Central limit theorem for a class of random measures associated with germ-grain models. Zbl 0941.60025
Heinrich, Lothar; Molchanov, Ilya S.
41
1999
Sharp identification regions in models with convex moment predictions. Zbl 1242.91158
Beresteanu, Arie; Molchanov, Ilya; Molinari, Francesca
38
2011
Multivariate risks and depth-trimmed regions. Zbl 1164.91027
Cascos, Ignacio; Molchanov, Ilya
34
2007
On strong laws of large numbers for random upper semicontinuous functions. Zbl 0959.60003
Molchanov, Ilya S.
34
1999
Strictly stable distributions on convex cones. Zbl 1196.60028
Davydov, Youri; Molchanov, Ilya; Zuyev, Sergei
32
2008
Multivariate risk measures: a constructive approach based on selections. Zbl 1368.91183
Molchanov, Ilya; Cascos, Ignacio
31
2016
A limit theorem for solutions of inequalities. Zbl 0915.60040
Molchanov, Ilya S.
31
1998
Convex geometry of max-stable distributions. Zbl 1164.60003
Molchanov, Ilya
24
2008
The law of large numbers in a metric space with a convex combination operation. Zbl 1113.60014
Terán, Pedro; Molchanov, Ilya
19
2006
Statistics of the Boolean model: From the estimation of means to the estimation of distributions. Zbl 0834.62096
Molchanov, Ilya S.
19
1995
Variational analysis of functionals of Poisson processes. Zbl 1018.49022
Molchanov, Ilya; Zuyev, Sergei
17
2000
Limit theorems for unions of random closed sets. Zbl 0790.60015
Molchanov, Ilya S.
15
1993
Convex and star-shaped sets associated with multivariate stable distributions. I: Moments and densities. Zbl 1196.60029
Molchanov, Ilya
15
2009
New perspectives in stochastic geometry. Zbl 1183.60001
14
2010
Conditional cores and conditional convex hulls of random sets. Zbl 1479.60019
Lépinette, Emmanuel; Molchanov, Ilya
14
2019
Random sets in econometrics. Zbl 1464.62008
Molchanov, Ilya; Molinari, Francesca
14
2018
Max-stable random sup-measures with comonotonic tail dependence. Zbl 1346.60072
Molchanov, Ilya; Strokorb, Kirstin
14
2016
Limit theorems for diameter of a random sample in the unit ball. Zbl 1164.62003
Mayer, Michael; Molchanov, Ilya
13
2007
Invariance properties of random vectors and stochastic processes based on the zonoid concept. Zbl 1312.60005
Molchanov, Ilya; Schmutz, Michael; Stucki, Kaspar
12
2014
Multivariate extension of put-call symmetry. Zbl 1200.91292
Molchanov, Ilya; Schmutz, Michael
10
2010
Asymptotic properties of estimators for parameters of the Boolean model. Zbl 0806.62078
Molchanov, Ilya; Stoyan, Dietrich
10
1994
Partial identification using random set theory. Zbl 1441.62607
Beresteanu, Arie; Molchanov, Ilya; Molinari, Francesca
10
2012
Sequential methods for design-adaptive estimation of discontinuities in regression curves and surfaces. Zbl 1028.62069
Hall, Peter; Molchanov, Ilya
9
2003
On the convex hull of symmetric stable processes. Zbl 1284.60094
Kampf, Jürgen; Last, Günter; Molchanov, Ilya
9
2012
Limit theorems for unions of random sets under multiplicative normalization. Zbl 0807.60015
Molchanov, I. S.
8
1993
A general law of large numbers, with applications. Zbl 1111.60004
Terán, Pedro; Molchanov, Ilya
7
2006
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
Generalized expectations of random closed sets. Zbl 0936.60006
Molchanov, I. S.
7
1995
Stationarity of multivariate particle systems. Zbl 1321.60072
Molchanov, Ilya; Stucki, Kaspar
7
2013
A limit theorem for scaled vacancies of the Boolean model. Zbl 0897.60013
Molchanov, I. S.
6
1996
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
Convex hulls of Lévy processes. Zbl 1348.60071
Molchanov, Ilya; Wespi, Florian
6
2016
Variational calculus in the space of measures and optimal design. Zbl 1423.62081
Molchanov, Ilya; Zuyev, Sergei
6
2001
Series representation of time-stable stochastic processes. Zbl 1411.60073
Kopp, Christoph; Molchanov, Ilya
5
2018
Empirical estimation of distribution quantiles of random closed sets. Zbl 0745.62031
Molchanov, I. S.
5
1990
A stochastic order for random vectors and random sets based on the Aumann expectation. Zbl 1103.60303
Fernández, Ignacio Cascos; Molchanov, Ilya
5
2003
Exchangeability-type properties of asset prices. Zbl 1233.60005
Molchanov, Ilya; Schmutz, Michael
5
2011
Intragroup transfers, intragroup diversification and their risk assessment. Zbl 1398.91330
Haier, Andreas; Molchanov, Ilya; Schmutz, Michael
5
2016
Estimation of the size distribution of spherical grains in the Boolean model. Zbl 0727.60017
Molchanov, Ilya S.
5
1990
Tangent sets in the space of measures: with applications to variational analysis. Zbl 1053.49016
Molchanov, Ilya; Zuyev, Sergei
5
2000
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
The semigroup of metric measure spaces and its infinitely divisible probability measures. Zbl 1355.43002
Evans, Steven N.; Molchanov, Ilya
4
2017
Distance transforms for real-valued functions. Zbl 1030.68097
Molchanov, Ilya S.; Terán, Pedro
4
2003
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
Shot noise weighted processes: A new family of spatial point processes. Zbl 0911.60025
van Lieshout, M. N. M.; Molchanov, I. S.
4
1998
Polar decomposition of scale-homogeneous measures with application to Lévy measures of strictly stable laws. Zbl 1437.28005
Evans, Steven N.; Molchanov, Ilya
4
2018
A consistent estimate of parameters of Boolean models of random closed sets. Zbl 0776.62020
Molchanov, I. S.
3
1991
Statistical problems for random sets. Zbl 0887.62095
Molchanov, Ilya
3
1997
Optimisation in space of measures and optimal design. Zbl 1031.62058
Molchanov, Ilya; Zuyev, Sergei
3
2004
Coverage of the whole space. Zbl 1041.60013
Molchanov, Ilya; Scherbakov, Vadim
3
2003
A generalisation of the fractional Brownian field based on non-Euclidean norms. Zbl 1319.60109
Molchanov, Ilya; Ralchenko, Kostiantyn
3
2015
Stability for random measures, point processes and discrete semigroups. Zbl 1339.60054
Davydov, Youri; Molchanov, Ilya; Zuyev, Sergei
3
2011
Optimisation of linear unbiased intensity estimators for point processes. Zbl 1083.62077
Mrkvička, Tomáš; Molchanov, Ilya
3
2005
Nonlinear expectations of random sets. Zbl 1461.91283
Molchanov, Ilya; Mühlemann, Anja
3
2021
Risk arbitrage and hedging to acceptability under transaction costs. Zbl 1461.91317
Lépinette, Emmanuel; Molchanov, Ilya
3
2021
Optimal approximation and quantisation. Zbl 1132.49023
Molchanov, Ilya; Tontchev, Nikolay
2
2007
Random sets. A survey of results and applications. Zbl 0754.60019
Molchanov, I. S.
2
1991
Statistical models of random polyhedra. Zbl 0851.60010
Molchanov, I. S.; Stoyan, D.
2
1996
Directional analysis of fibre processes related to Boolean models. Zbl 0811.60009
Molchanov, I. S.; Stoyan, D.
2
1994
On the convergence of random processes generated by polyhedral approximation of convex compacts. Zbl 0852.60011
Molchanov, I. S.
2
1995
Random sets in finance and econometrics. Zbl 1201.60013
Molchanov, Ilya
2
2010
New perspectives in stochastic geometry. Abstracts from the workshop held October 19th – October 25th, 2008. Zbl 1177.60004
2
2008
Optimal Poisson quantisation. Zbl 1128.60038
Molchanov, Ilya; Tontchev, Nikolay
2
2007
Lift expectations of random sets. Zbl 1407.62171
Diaye, Marc-Arthur; Koshevoy, Gleb A.; Molchanov, Ilya
2
2019
Empirical estimation of quantiles of distributions of random closed sets. Zbl 0727.62041
Molchanov, I. S.
2
1990
Uniform laws of great numbers for empirical accompanying functionals on random closed sets. Zbl 0631.60034
Molchanov, I. S.
2
1987
On convergence of empirical accompanying functionals of stationary random sets. Zbl 0664.60018
Molchanov, I. S.
2
1989
Structure of strictly Markov marked random closed sets. Zbl 0575.60013
Molchanov, I. S.
2
1985
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
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.
2
2001
Depth and outliers for samples of sets and random sets distributions. Zbl 1521.62080
Cascos, Ignacio; Li, Qiyu; Molchanov, Ilya
2
2021
Bivariate distributions with ordered marginals. Zbl 1435.60018
Arnold, Sebastian; Molchanov, Ilya; Ziegel, Johanna F.
2
2020
Stable distributions and harmonic analysis on convex cones. Zbl 1112.60006
Davydov, Youri; Molchanov, Ilya; Zuyev, Sergei
1
2007
Uniform strong law of large numbers for random signed measures. Zbl 1481.60094
Klesov, O. I.; Molchanov, I.
1
2019
Handling with spatial censored observations in statistics of Boolean models of random sets. Zbl 0760.62089
Molchanov, Ilya S.
1
1992
A limit theorem for intersections of random semi-spaces. Zbl 0861.60056
Molchanov, I. S.
1
1993
Limit theorems for convex hulls of random sets. Zbl 0779.60011
Molchanov, Ilya S.
1
1993
Set-valued estimators for mean bodies related to Boolean models. Zbl 0855.62081
Molchanov, I. S.
1
1996
On distributions of random closed sets and expected convex hulls. Zbl 0789.60009
Molchanov, Ilya S.
1
1993
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
Diffusion-limited aggregation with jumps and flights. Zbl 0969.60080
Molchanov, I. S.
1
1999
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
Characterization of universal classes in the Glivenko-Cantelli theorem for random closed sets. Zbl 0696.60015
Molchanov, I. S.
1
1989
Marked random sets. Zbl 0575.60012
Molchanov, I. Eh.
1
1984
Averaging of random sets and binary images. Zbl 0927.60010
Molchanov, Ilya S.
1
1998
Gaussian approximation for sums of region-stabilizing scores. Zbl 1498.60087
Bhattacharjee, Chinmoy; Molchanov, Ilya
1
2022
Variational analysis of Poisson processes. Zbl 1528.60048
Molchanov, Ilya; Zuyev, Sergei
1
2016
Multiasset derivatives and joint distributions of asset prices. Zbl 1418.91528
Molchanov, Ilya; Schmutz, Michael
1
2014
Choosing a random distribution with prescribed risks. Zbl 1284.60098
Cascos, Ignacio; Molchanov, Ilya
1
2013
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
Gaussian approximation for sums of region-stabilizing scores. Zbl 1498.60087
Bhattacharjee, Chinmoy; Molchanov, Ilya
1
2022
Nonlinear expectations of random sets. Zbl 1461.91283
Molchanov, Ilya; Mühlemann, Anja
3
2021
Risk arbitrage and hedging to acceptability under transaction costs. Zbl 1461.91317
Lépinette, Emmanuel; Molchanov, Ilya
3
2021
Depth and outliers for samples of sets and random sets distributions. Zbl 1521.62080
Cascos, Ignacio; Li, Qiyu; Molchanov, Ilya
2
2021
Diagonal Minkowski classes, zonoid equivalence, and stable laws. Zbl 1455.52003
Molchanov, Ilya; Nagel, Felix
1
2021
Local regression smoothers with set-valued outcome data. Zbl 1466.62369
Li, Qiyu; Molchanov, Ilya; Molinari, Francesca; Peng, Sida
1
2021
Bivariate distributions with ordered marginals. Zbl 1435.60018
Arnold, Sebastian; Molchanov, Ilya; Ziegel, Johanna F.
2
2020
Convergence to scale-invariant Poisson processes and applications in Dickman approximation. Zbl 1459.60106
Bhattacharjee, Chinmoy; Molchanov, Ilya
1
2020
Conditional cores and conditional convex hulls of random sets. Zbl 1479.60019
Lépinette, Emmanuel; Molchanov, Ilya
14
2019
Lift expectations of random sets. Zbl 1407.62171
Diaye, Marc-Arthur; Koshevoy, Gleb A.; Molchanov, Ilya
2
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
14
2018
Series representation of time-stable stochastic processes. Zbl 1411.60073
Kopp, Christoph; Molchanov, Ilya
5
2018
Polar decomposition of scale-homogeneous measures with application to Lévy measures of strictly stable laws. Zbl 1437.28005
Evans, Steven N.; Molchanov, Ilya
4
2018
Theory of random sets. 2nd edition. Zbl 1406.60006
Molchanov, Ilya
56
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
31
2016
Max-stable random sup-measures with comonotonic tail dependence. Zbl 1346.60072
Molchanov, Ilya; Strokorb, Kirstin
14
2016
Convex hulls of Lévy processes. Zbl 1348.60071
Molchanov, Ilya; Wespi, Florian
6
2016
Intragroup transfers, intragroup diversification and their risk assessment. Zbl 1398.91330
Haier, Andreas; Molchanov, Ilya; Schmutz, Michael
5
2016
Variational analysis of Poisson processes. Zbl 1528.60048
Molchanov, Ilya; Zuyev, Sergei
1
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
12
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
Choosing a random distribution with prescribed risks. Zbl 1284.60098
Cascos, Ignacio; Molchanov, Ilya
1
2013
Foundations of stochastic geometry and theory of random sets. Zbl 1296.60022
Molchanov, Ilya
1
2013
Partial identification using random set theory. Zbl 1441.62607
Beresteanu, Arie; Molchanov, Ilya; Molinari, Francesca
10
2012
On the convex hull of symmetric stable processes. Zbl 1284.60094
Kampf, Jürgen; Last, Günter; Molchanov, Ilya
9
2012
Sharp identification regions in models with convex moment predictions. Zbl 1242.91158
Beresteanu, Arie; Molchanov, Ilya; Molinari, Francesca
38
2011
Exchangeability-type properties of asset prices. Zbl 1233.60005
Molchanov, Ilya; Schmutz, Michael
5
2011
Stability for random measures, point processes and discrete semigroups. Zbl 1339.60054
Davydov, Youri; Molchanov, Ilya; Zuyev, Sergei
3
2011
New perspectives in stochastic geometry. Zbl 1183.60001
14
2010
Multivariate extension of put-call symmetry. Zbl 1200.91292
Molchanov, Ilya; Schmutz, Michael
10
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
32
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
2
2008
Multivariate risks and depth-trimmed regions. Zbl 1164.91027
Cascos, Ignacio; Molchanov, Ilya
34
2007
Limit theorems for diameter of a random sample in the unit ball. Zbl 1164.62003
Mayer, Michael; Molchanov, Ilya
13
2007
Optimal approximation and quantisation. Zbl 1132.49023
Molchanov, Ilya; Tontchev, Nikolay
2
2007
Optimal Poisson quantisation. Zbl 1128.60038
Molchanov, Ilya; Tontchev, Nikolay
2
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
19
2006
A general law of large numbers, with applications. Zbl 1111.60004
Terán, Pedro; Molchanov, Ilya
7
2006
Link-save trading. Zbl 1142.91532
Kaval, K.; Molchanov, I.
4
2006
Theory of random sets. Zbl 1109.60001
Molchanov, Ilya
300
2005
Optimisation of linear unbiased intensity estimators for point processes. Zbl 1083.62077
Mrkvička, Tomáš; Molchanov, Ilya
3
2005
Optimisation in space of measures and optimal design. Zbl 1031.62058
Molchanov, Ilya; Zuyev, Sergei
3
2004
Applications of random sets in image analysis. How to average a cat and a dog? Zbl 1094.68109
Molchanov, Ilya S.
2
2004
Sequential methods for design-adaptive estimation of discontinuities in regression curves and surfaces. Zbl 1028.62069
Hall, Peter; Molchanov, Ilya
9
2003
A stochastic order for random vectors and random sets based on the Aumann expectation. Zbl 1103.60303
Fernández, Ignacio Cascos; Molchanov, Ilya
5
2003
Distance transforms for real-valued functions. Zbl 1030.68097
Molchanov, Ilya S.; Terán, Pedro
4
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
Variational calculus in the space of measures and optimal design. Zbl 1423.62081
Molchanov, Ilya; Zuyev, Sergei
6
2001
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.
2
2001
Variational analysis of functionals of Poisson processes. Zbl 1018.49022
Molchanov, Ilya; Zuyev, Sergei
17
2000
Tangent sets in the space of measures: with applications to variational analysis. Zbl 1053.49016
Molchanov, Ilya; Zuyev, Sergei
5
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
Central limit theorem for a class of random measures associated with germ-grain models. Zbl 0941.60025
Heinrich, Lothar; Molchanov, Ilya S.
41
1999
On strong laws of large numbers for random upper semicontinuous functions. Zbl 0959.60003
Molchanov, Ilya S.
34
1999
Diffusion-limited aggregation with jumps and flights. Zbl 0969.60080
Molchanov, I. S.
1
1999
A limit theorem for solutions of inequalities. Zbl 0915.60040
Molchanov, Ilya S.
31
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.
60
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.
15
1993
Limit theorems for unions of random sets under multiplicative normalization. Zbl 0807.60015
Molchanov, I. S.
8
1993
A limit theorem for intersections of random semi-spaces. Zbl 0861.60056
Molchanov, I. S.
1
1993
Limit theorems for convex hulls of random sets. Zbl 0779.60011
Molchanov, Ilya S.
1
1993
On distributions of random closed sets and expected convex hulls. Zbl 0789.60009
Molchanov, Ilya S.
1
1993
Intersections and shift functions of strong Markov random closed sets. Zbl 0821.60022
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
Empirical estimation of distribution quantiles of random closed sets. Zbl 0745.62031
Molchanov, I. S.
5
1990
Estimation of the size distribution of spherical grains in the Boolean model. Zbl 0727.60017
Molchanov, Ilya S.
5
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
...and 2 more Documents
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Cited by 1,035 Authors

51 Molchanov, Ilya S.
20 Terán, Pedro
17 Heinrich, Lothar
16 Schmidt, Volker
13 Hu, Yijun
13 Last, Günter
13 Lépinette, Emmanuel
13 López-Díaz, Miguel
11 Cascos, Ignacio
11 Zuyev, Sergei
10 Chen, Yanhong
10 Hug, Daniel
10 Rudloff, Birgit
10 Thäle, Christoph
9 Colubi, Ana
9 Hashorva, Enkelejd
8 Feinstein, Zachary
8 Fraiman, Ricardo
8 Gil, María Angeles
8 Kabluchko, Zakhar A.
8 Penrose, Mathew D.
8 Quang, Nguyen Van
8 Wang, Yizao
7 Cuevas, Antonio
7 Mai, Jan-Frederik
7 Pawlas, Zbyněk
7 Schulte, Matthias
7 Trutschnig, Wolfgang
7 Yukich, Joseph Elliott
6 Ararat, Çağın
6 Davydov, Youri
6 Dombry, Clément
6 Ginsbourger, David
6 Lachièze-Rey, Raphaël
6 Resnick, Sidney Ira
6 Schmelzer, Bernhard
6 Schreiber, Tomasz
6 Staňková Helisová, Kateřina
6 Stoev, Stilian A.
6 Villa, Elena
6 Wei, Guo
5 Ballani, Felix
5 Calka, Pierre
5 Cholaquidis, Alejandro
5 Gloaguen, Catherine
5 González-Rodríguez, Gil
5 Hamel, Andreas H.
5 Hirsch, Christian
5 Kaido, Hiroaki
5 La Torre, Davide
5 Montenegro, Manuel
5 Mosler, Karl Clemens
5 Nagel, Werner
5 Privault, Nicolas
5 Pronzato, Luc
5 Rotem, Liran
5 Schlather, Martin
5 Schmutz, Michael
5 Spodarev, Evgueni
5 Thuan, Nguyen Tran
5 Wang, Yangeng
5 Xu, Huifu
4 Blanco-Fernández, Angela
4 Brunel, Victor-Emmanuel
4 Capasso, Vincenzo
4 Davini, Andrea
4 Falk, Michael
4 Hong, Dug Hun
4 Majumdar, Satya N.
4 Molinari, Francesca
4 Moller, Jesper
4 Mozharovskyi, Pavlo
4 Neuhäuser, David Werner
4 Nguyen, Hung Trung
4 Polonik, Wolfgang
4 Salamanca, Juan Jesús
4 Samorodnitsky, Gennady Pinkhosovich
4 Scherer, Matthias
4 Segers, Johan
4 Siconolfi, Antonio
4 Sinova, Beatriz
4 Strokorb, Kirstin
4 Sun, Fei
4 Tamer, Elie
3 Augustin, Thomas
3 Bachoc, François
3 Baíllo, Amparo
3 Bect, Julien
3 Bhattacharya, Ayan
3 Bobrowski, Omer
3 Bongiorno, Enea Giuseppe
3 Camerlenghi, Federico
3 Chen, Yen-Chi
3 Chen, Zaoli
3 Das, Bikramjit
3 Davydov, Yu. A.
3 Destercke, Sébastien
3 Ðogaš, Vesna Gotovac
3 Dubois, Didier
3 Emery, Xavier
...and 935 more Authors
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Cited in 217 Serials

36 Advances in Applied Probability
33 Statistics & Probability Letters
32 Journal of Econometrics
32 International Journal of Approximate Reasoning
31 Fuzzy Sets and Systems
24 Bernoulli
24 Extremes
23 Journal of Multivariate Analysis
19 Journal of Mathematical Analysis and Applications
17 The Annals of Applied Probability
16 Stochastic Processes and their Applications
12 The Annals of Statistics
12 Information Sciences
11 Computational Statistics and Data Analysis
11 Electronic Journal of Probability
11 Methodology and Computing in Applied Probability
10 The Annals of Probability
10 Insurance Mathematics & Economics
10 Stochastic Analysis and Applications
10 Journal of Theoretical Probability
9 Lithuanian Mathematical Journal
9 Scandinavian Journal of Statistics
9 Advances in Mathematics
8 Journal of Statistical Planning and Inference
8 Journal of Statistical Computation and Simulation
8 Finance and Stochastics
8 Stochastics
8 Electronic Journal of Statistics
7 Journal of Statistical Physics
7 Probability Theory and Related Fields
7 Annals of Operations Research
6 Annals of the Institute of Statistical Mathematics
6 Journal of Applied Probability
6 Transactions of the American Mathematical Society
6 Stochastic Models
6 ALEA. Latin American Journal of Probability and Mathematical Statistics
5 Journal of Optimization Theory and Applications
5 Kybernetika
5 Statistical Science
5 Communications in Statistics. Theory and Methods
5 Test
5 Set-Valued and Variational Analysis
4 Journal of the American Statistical Association
4 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
4 Journal of Mathematical Imaging and Vision
4 Journal of Convex Analysis
4 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics
4 Positivity
4 Australian & New Zealand Journal of Statistics
4 International Journal of Theoretical and Applied Finance
4 Econometric Theory
4 Mathematics and Financial Economics
4 Mathematical Geosciences
4 Statistics and Computing
4 Dependence Modeling
4 SIAM/ASA Journal on Uncertainty Quantification
3 Journal of Mathematical Economics
3 Proceedings of the American Mathematical Society
3 Advances in Applied Mathematics
3 Probability and Mathematical Statistics
3 Discrete & Computational Geometry
3 Random Structures & Algorithms
3 European Journal of Operational Research
3 Journal of Mathematical Sciences (New York)
3 Journal of Nonparametric Statistics
3 Mathematical Finance
3 Soft Computing
3 Comptes Rendus. Mathématique. Académie des Sciences, Paris
3 Annales Henri Lebesgue
2 The Canadian Journal of Statistics
2 Discrete Applied Mathematics
2 Metrika
2 Applied Mathematics and Computation
2 Biometrics
2 Journal of Economic Theory
2 Mathematische Nachrichten
2 Topology and its Applications
2 Optimization
2 Economics Letters
2 Pattern Recognition
2 Calculus of Variations and Partial Differential Equations
2 Theory of Probability and Mathematical Statistics
2 Mathematical Methods of Operations Research
2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
2 Journal of Applied Statistics
2 Communications in Contemporary Mathematics
2 Quantitative Finance
2 Decisions in Economics and Finance
2 Journal of Statistical Mechanics: Theory and Experiment
2 AStA. Advances in Statistical Analysis
2 The Annals of Applied Statistics
2 SIAM Journal on Financial Mathematics
2 Probability Surveys
2 Journal of Computational and Graphical Statistics
2 Journal of Agricultural, Biological, and Environmental Statistics
2 Annals of Finance
2 Statistics & Risk Modeling
2 Modern Stochastics. Theory and Applications
1 Communications in Mathematical Physics
1 Computer Methods in Applied Mechanics and Engineering
...and 117 more Serials
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Cited in 48 Fields

488 Probability theory and stochastic processes (60-XX)
311 Statistics (62-XX)
127 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
70 Convex and discrete geometry (52-XX)
69 Measure and integration (28-XX)
47 Computer science (68-XX)
38 Numerical analysis (65-XX)
36 Operations research, mathematical programming (90-XX)
31 Functional analysis (46-XX)
24 Real functions (26-XX)
24 Statistical mechanics, structure of matter (82-XX)
21 Calculus of variations and optimal control; optimization (49-XX)
18 Dynamical systems and ergodic theory (37-XX)
18 General topology (54-XX)
14 Mathematical logic and foundations (03-XX)
13 Combinatorics (05-XX)
11 Differential geometry (53-XX)
11 Systems theory; control (93-XX)
10 Biology and other natural sciences (92-XX)
10 Information and communication theory, circuits (94-XX)
9 Geophysics (86-XX)
8 Partial differential equations (35-XX)
8 Operator theory (47-XX)
6 Ordinary differential equations (34-XX)
5 Order, lattices, ordered algebraic structures (06-XX)
5 Approximations and expansions (41-XX)
5 Integral equations (45-XX)
5 Algebraic topology (55-XX)
4 Integral transforms, operational calculus (44-XX)
3 Difference and functional equations (39-XX)
3 Geometry (51-XX)
3 Global analysis, analysis on manifolds (58-XX)
2 History and biography (01-XX)
2 Group theory and generalizations (20-XX)
2 Functions of a complex variable (30-XX)
2 Potential theory (31-XX)
2 Abstract harmonic analysis (43-XX)
2 Mechanics of deformable solids (74-XX)
1 General and overarching topics; collections (00-XX)
1 Number theory (11-XX)
1 Topological groups, Lie groups (22-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Mechanics of particles and systems (70-XX)
1 Fluid mechanics (76-XX)
1 Optics, electromagnetic theory (78-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Quantum theory (81-XX)

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