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Molchanov, Ilya S.

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Author ID: molchanov.ilya-s Recent zbMATH articles by "Molchanov, Ilya S."
Published as: Molchanov, I.; Molchanov, I. Eh.; Molchanov, I. S.; Molchanov, Ilya; Molchanov, Ilya S.
Documents Indexed: 123 Publications since 1984, including 6 Books
Reviewing Activity: 383 Reviews
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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 Bernoulli
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 Electronic Journal of Probability
2 Extremes
2 Communications in Contemporary Mathematics
1 Metrika
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 Insurance Mathematics & Economics
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 Finance and Stochastics
1 Mathematical Finance
1 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics
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

88 Publications have been cited 815 times in 612 Documents Cited by Year
Theory of random sets. Zbl 1109.60001
Molchanov, Ilya
215
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.
36
1999
Strictly stable distributions on convex cones. Zbl 1196.60028
Davydov, Youri; Molchanov, Ilya; Zuyev, Sergei
31
2008
On strong laws of large numbers for random upper semicontinuous functions. Zbl 0959.60003
Molchanov, Ilya S.
30
1999
Multivariate risks and depth-trimmed regions. Zbl 1164.91027
Cascos, Ignacio; Molchanov, Ilya
24
2007
Convex geometry of max-stable distributions. Zbl 1164.60003
Molchanov, Ilya
23
2008
A limit theorem for solutions of inequalities. Zbl 0915.60040
Molchanov, Ilya S.
21
1998
Multivariate risk measures: a constructive approach based on selections. Zbl 1368.91183
Molchanov, Ilya; Cascos, Ignacio
20
2016
Theory of random sets. 2nd edition. Zbl 1406.60006
Molchanov, Ilya
19
2017
Sharp identification regions in models with convex moment predictions. Zbl 1242.91158
Beresteanu, Arie; Molchanov, Ilya; Molinari, Francesca
19
2011
Limit theorems for unions of random closed sets. Zbl 0790.60015
Molchanov, Ilya S.
19
1993
Statistics of the Boolean model: From the estimation of means to the estimation of distributions. Zbl 0834.62096
Molchanov, Ilya S.
18
1995
The law of large numbers in a metric space with a convex combination operation. Zbl 1113.60014
Terán, Pedro; Molchanov, Ilya
17
2006
Variational analysis of functionals of Poisson processes. Zbl 1018.49022
Molchanov, Ilya; Zuyev, Sergei
14
2000
Convex and star-shaped sets associated with multivariate stable distributions. I: Moments and densities. Zbl 1196.60029
Molchanov, Ilya
12
2009
Multivariate extension of put-call symmetry. Zbl 1200.91292
Molchanov, Ilya; Schmutz, Michael
10
2010
Limit theorems for diameter of a random sample in the unit ball. Zbl 1164.62003
Mayer, Michael; Molchanov, Ilya
10
2007
Asymptotic properties of estimators for parameters of the Boolean model. Zbl 0806.62078
Molchanov, Ilya; Stoyan, Dietrich
10
1994
Invariance properties of random vectors and stochastic processes based on the zonoid concept. Zbl 1312.60005
Molchanov, Ilya; Schmutz, Michael; Stucki, Kaspar
9
2014
Max-stable random sup-measures with comonotonic tail dependence. Zbl 1346.60072
Molchanov, Ilya; Strokorb, Kirstin
8
2016
Sequential methods for design-adaptive estimation of discontinuities in regression curves and surfaces. Zbl 1028.62069
Hall, Peter; Molchanov, Ilya
8
2003
New perspectives in stochastic geometry. Zbl 1183.60001
Kendall, Wilfrid S. (ed.); Molchanov, Ilya (ed.)
7
2010
Multifractional Poisson process, multistable subordinator and related limit theorems. Zbl 1326.60049
Molchanov, Ilya; Ralchenko, Kostiantyn
6
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
Stationarity of multivariate particle systems. Zbl 1321.60072
Molchanov, Ilya; Stucki, Kaspar
6
2013
Generalized expectations of random closed sets. Zbl 0936.60006
Molchanov, I. S.
6
1995
Limit theorems for unions of random sets under multiplicative normalization. Zbl 0807.60015
Molchanov, I. S.
6
1993
Continued fractions built from convex sets and convex functions. Zbl 1372.52012
Molchanov, Ilya
5
2015
Partial identification using random set theory. Zbl 1441.62607
Beresteanu, Arie; Molchanov, Ilya; Molinari, Francesca
5
2012
On the convex hull of symmetric stable processes. Zbl 1284.60094
Kampf, Jürgen; Last, Günter; Molchanov, Ilya
5
2012
A general law of large numbers, with applications. Zbl 1111.60004
Terán, Pedro; Molchanov, Ilya
5
2006
A limit theorem for scaled vacancies of the Boolean model. Zbl 0897.60013
Molchanov, I. S.
5
1996
Estimation of the size distribution of spherical grains in the Boolean model. Zbl 0727.60017
Molchanov, Ilya S.
5
1990
Conditional cores and conditional convex hulls of random sets. Zbl 07096779
Lépinette, Emmanuel; Molchanov, Ilya
4
2019
Series representation of time-stable stochastic processes. Zbl 1411.60073
Kopp, Christoph; Molchanov, Ilya
4
2018
Intragroup transfers, intragroup diversification and their risk assessment. Zbl 1398.91330
Haier, Andreas; Molchanov, Ilya; Schmutz, Michael
4
2016
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
A stochastic order for random vectors and random sets based on the Aumann expectation. Zbl 1103.60303
Fernández, Ignacio Cascos; Molchanov, Ilya
4
2003
Distance transforms for real-valued functions. Zbl 1030.68097
Molchanov, Ilya S.; Terán, Pedro
4
2003
Tangent sets in the space of measures: with applications to variational analysis. Zbl 1053.49016
Molchanov, Ilya; Zuyev, Sergei
4
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
Shot noise weighted processes: A new family of spatial point processes. Zbl 0911.60025
van Lieshout, M. N. M.; Molchanov, I. S.
4
1998
Some limit theorems for extremal and union shot-noise processes. Zbl 0829.60039
Heinrich, L.; Molchanov, I. S.
4
1994
Random sets in econometrics. Zbl 06854451
Molchanov, Ilya; Molinari, Francesca
3
2018
The semigroup of metric measure spaces and its infinitely divisible probability measures. Zbl 1355.43002
Evans, Steven N.; Molchanov, Ilya
3
2017
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
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
A consistent estimate of parameters of Boolean models of random closed sets. Zbl 0776.62020
Molchanov, I. S.
3
1991
Convex hulls of Lévy processes. Zbl 1348.60071
Molchanov, Ilya; Wespi, Florian
2
2016
Random sets in finance and econometrics. Zbl 1201.60013
Molchanov, Ilya
2
2010
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
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
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
Statistical models of random polyhedra. Zbl 0851.60010
Molchanov, I. S.; Stoyan, D.
2
1996
On the convergence of random processes generated by polyhedral approximation of convex compacts. Zbl 0852.60011
Molchanov, I. S.
2
1995
Directional analysis of fibre processes related to Boolean models. Zbl 0811.60009
Molchanov, I. S.; Stoyan, D.
2
1994
Random sets. A survey of results and applications. Zbl 0754.60019
Molchanov, I. S.
2
1991
Empirical estimation of quantiles of distributions of random closed sets. Zbl 0727.62041
Molchanov, I. S.
2
1990
Empirical estimation of distribution quantiles of random closed sets. Zbl 0745.62031
Molchanov, I. S.
2
1990
On convergence of empirical accompanying functionals of stationary random sets. Zbl 0664.60018
Molchanov, I. S.
2
1989
Uniform laws of great numbers for empirical accompanying functionals on random closed sets. Zbl 0631.60034
Molchanov, I. S.
2
1987
Structure of strictly Markov marked random closed sets. Zbl 0575.60013
Molchanov, I. S.
2
1985
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
Optimal Poisson quantisation. Zbl 1128.60038
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
Optimal approximation and quantisation. Zbl 1132.49023
Molchanov, Ilya; Tontchev, Nikolay
1
2007
Variational calculus in the space of measures and optimal design. Zbl 1423.62081
Molchanov, Ilya; Zuyev, Sergei
1
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.
1
2001
Averaging of random sets and binary images. Zbl 0927.60010
Molchanov, Ilya S.
1
1998
Set-valued estimators for mean bodies related to Boolean models. Zbl 0855.62081
Molchanov, I. S.
1
1996
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
Intersections and shift functions of strong Markov random closed sets. Zbl 0821.60022
Molchanov, Ilya S.
1
1993
On distributions of random closed sets and expected convex hulls. Zbl 0789.60009
Molchanov, Ilya S.
1
1993
Limit theorems for convex hulls of random sets. Zbl 0779.60011
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
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
Marked random sets. Zbl 0575.60012
Molchanov, I. Eh.
1
1984
A generalization of the Choquet theorem for random sets with a given class of realizations. Zbl 0541.60010
Molchanov, I. Eh.
1
1984
Conditional cores and conditional convex hulls of random sets. Zbl 07096779
Lépinette, Emmanuel; Molchanov, Ilya
4
2019
Series representation of time-stable stochastic processes. Zbl 1411.60073
Kopp, Christoph; Molchanov, Ilya
4
2018
Random sets in econometrics. Zbl 06854451
Molchanov, Ilya; Molinari, Francesca
3
2018
Theory of random sets. 2nd edition. Zbl 1406.60006
Molchanov, Ilya
19
2017
The semigroup of metric measure spaces and its infinitely divisible probability measures. Zbl 1355.43002
Evans, Steven N.; Molchanov, Ilya
3
2017
Multivariate risk measures: a constructive approach based on selections. Zbl 1368.91183
Molchanov, Ilya; Cascos, Ignacio
20
2016
Max-stable random sup-measures with comonotonic tail dependence. Zbl 1346.60072
Molchanov, Ilya; Strokorb, Kirstin
8
2016
Intragroup transfers, intragroup diversification and their risk assessment. Zbl 1398.91330
Haier, Andreas; Molchanov, Ilya; Schmutz, Michael
4
2016
Convex hulls of Lévy processes. Zbl 1348.60071
Molchanov, Ilya; Wespi, Florian
2
2016
Multifractional Poisson process, multistable subordinator and related limit theorems. Zbl 1326.60049
Molchanov, Ilya; Ralchenko, Kostiantyn
6
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
Continued fractions built from convex sets and convex functions. Zbl 1372.52012
Molchanov, Ilya
5
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
9
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
6
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
5
2012
On the convex hull of symmetric stable processes. Zbl 1284.60094
Kampf, Jürgen; Last, Günter; Molchanov, Ilya
5
2012
Sharp identification regions in models with convex moment predictions. Zbl 1242.91158
Beresteanu, Arie; Molchanov, Ilya; Molinari, Francesca
19
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
Kendall, Wilfrid S. (ed.); Molchanov, Ilya (ed.)
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
12
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
23
2008
Multivariate risks and depth-trimmed regions. Zbl 1164.91027
Cascos, Ignacio; Molchanov, Ilya
24
2007
Limit theorems for diameter of a random sample in the unit ball. Zbl 1164.62003
Mayer, Michael; Molchanov, Ilya
10
2007
Optimal Poisson quantisation. Zbl 1128.60038
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
Optimal approximation and quantisation. Zbl 1132.49023
Molchanov, Ilya; Tontchev, Nikolay
1
2007
The law of large numbers in a metric space with a convex combination operation. Zbl 1113.60014
Terán, Pedro; Molchanov, Ilya
17
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
215
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
8
2003
A stochastic order for random vectors and random sets based on the Aumann expectation. Zbl 1103.60303
Fernández, Ignacio Cascos; Molchanov, Ilya
4
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
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
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
Variational calculus in the space of measures and optimal design. Zbl 1423.62081
Molchanov, Ilya; Zuyev, Sergei
1
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.
1
2001
Variational analysis of functionals of Poisson processes. Zbl 1018.49022
Molchanov, Ilya; Zuyev, Sergei
14
2000
Tangent sets in the space of measures: with applications to variational analysis. Zbl 1053.49016
Molchanov, Ilya; Zuyev, Sergei
4
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.
36
1999
On strong laws of large numbers for random upper semicontinuous functions. Zbl 0959.60003
Molchanov, Ilya S.
30
1999
A limit theorem for solutions of inequalities. Zbl 0915.60040
Molchanov, Ilya S.
21
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.
5
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.
18
1995
Generalized expectations of random closed sets. Zbl 0936.60006
Molchanov, I. S.
6
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.
19
1993
Limit theorems for unions of random sets under multiplicative normalization. Zbl 0807.60015
Molchanov, I. S.
6
1993
A limit theorem for intersections of random semi-spaces. Zbl 0861.60056
Molchanov, I. S.
1
1993
Intersections and shift functions of strong Markov random closed sets. Zbl 0821.60022
Molchanov, Ilya S.
1
1993
On distributions of random closed sets and expected convex hulls. Zbl 0789.60009
Molchanov, Ilya S.
1
1993
Limit theorems for convex hulls of random sets. Zbl 0779.60011
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 quantiles of distributions of random closed sets. Zbl 0727.62041
Molchanov, I. S.
2
1990
Empirical estimation of distribution quantiles of random closed sets. Zbl 0745.62031
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
Marked random sets. Zbl 0575.60012
Molchanov, I. Eh.
1
1984
A generalization of the Choquet theorem for random sets with a given class of realizations. Zbl 0541.60010
Molchanov, I. Eh.
1
1984
all top 5

Cited by 777 Authors

43 Molchanov, Ilya S.
17 Terán, Pedro
16 Schmidt, Volker
15 Heinrich, Lothar
12 López-Díaz, Miguel
11 Hu, Yijun
10 Last, Günter
10 Zuyev, Sergei
9 Colubi, Ana
9 Hug, Daniel
8 Chen, Yanhong
8 Gil, María Angeles
8 Penrose, Mathew D.
7 Cascos, Ignacio
7 Cuevas, Antonio
7 Pawlas, Zbyněk
7 Quang, Nguyen Van
7 Rudloff, Birgit
7 Trutschnig, Wolfgang
7 Yukich, Joseph Elliott
6 Davydov, Youri
6 Hashorva, Enkelejd
6 Mai, Jan-Frederik
6 Schreiber, Tomasz
6 Thäle, Christoph
5 Ballani, Felix
5 Dombry, Clément
5 Fraiman, Ricardo
5 Gloaguen, Catherine
5 González-Rodríguez, Gil
5 Hamel, Andreas H.
5 Kabluchko, Zakhar A.
5 Lépinette, Emmanuel
5 Montenegro, Manuel
5 Nagel, Werner
5 Nguyen, Hung Trung
5 Resnick, Sidney Ira
5 Schlather, Martin
5 Schmelzer, Bernhard
5 Schmutz, Michael
5 Schulte, Matthias
5 Thuan, Nguyen Tran
5 Wang, Yangeng
5 Wang, Yizao
5 Wei, Guo
4 Brunel, Victor-Emmanuel
4 Calka, Pierre
4 Davini, Andrea
4 Feinstein, Zachary
4 Hirsch, Christian
4 Hong, Dug Hun
4 Kaido, Hiroaki
4 Lachièze-Rey, Raphaël
4 Neuhäuser, David Werner
4 Polonik, Wolfgang
4 Rotem, Liran
4 Segers, Johan
4 Siconolfi, Antonio
4 Spodarev, Evgueni
4 Stoev, Stilian A.
4 Strokorb, Kirstin
4 Villa, Elena
3 Ararat, Çağın
3 Baíllo, Amparo
3 Bect, Julien
3 Bhattacharya, Ayan
3 Blanco-Fernández, Angela
3 Bongiorno, Enea G.
3 Capasso, Vincenzo
3 Das, Bikramjit
3 Davydov, Yu. A.
3 Destercke, Sébastien
3 Dubois, Didier
3 Emery, Xavier
3 Ghosh, Souvik
3 Ginsbourger, David
3 Infusino, Maria
3 Kohlas, Jürg
3 Kuna, Tobias
3 La Torre, Davide
3 Lavancier, Frédéric
3 Li, Shoumei
3 Lubiano, María Asunción
3 Micheas, Athanasios Christou
3 Michel, Julien
3 Moller, Jesper
3 Mosler, Karl Clemens
3 Mrkvička, Tomáš
3 Nguyen, Pham Tri
3 Pennanen, Teemu
3 Ralescu, Dan A.
3 Ramos-Guajardo, Ana Belén
3 Ricciuti, Costantino
3 Samorodnitsky, Gennady Pinkhosovich
3 Scherer, Matthias
3 Schmidt, Hendrik
3 Seri, Raffaello
3 Sinova, Beatriz
3 Staňková Helisová, Kateřina
3 Stoyan, Dietrich Kurt
...and 677 more Authors
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Cited in 172 Serials

35 Advances in Applied Probability
30 Statistics & Probability Letters
25 Fuzzy Sets and Systems
25 International Journal of Approximate Reasoning
22 Journal of Multivariate Analysis
19 Bernoulli
17 Journal of Mathematical Analysis and Applications
17 Journal of Econometrics
15 Extremes
13 Stochastic Processes and their Applications
12 Information Sciences
12 The Annals of Applied Probability
11 The Annals of Statistics
11 Computational Statistics and Data Analysis
9 Scandinavian Journal of Statistics
9 Stochastic Analysis and Applications
9 Journal of Theoretical Probability
8 The Annals of Probability
8 Journal of Statistical Computation and Simulation
7 Advances in Mathematics
7 Insurance Mathematics & Economics
6 Journal of Statistical Planning and Inference
6 Probability Theory and Related Fields
6 Methodology and Computing in Applied Probability
6 Stochastic Models
6 Stochastics
5 Lithuanian Mathematical Journal
5 Annals of the Institute of Statistical Mathematics
5 Kybernetika
5 Transactions of the American Mathematical Society
4 Journal of Applied Probability
4 Annals of Operations Research
4 Test
4 Electronic Journal of Probability
4 Positivity
4 ALEA. Latin American Journal of Probability and Mathematical Statistics
4 Electronic Journal of Statistics
4 Dependence Modeling
3 Journal of Statistical Physics
3 Journal of Mathematical Economics
3 Journal of Optimization Theory and Applications
3 Proceedings of the American Mathematical Society
3 Probability and Mathematical Statistics
3 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
3 Journal of Nonparametric Statistics
3 Finance and Stochastics
3 Mathematical Finance
3 International Journal of Theoretical and Applied Finance
3 Comptes Rendus. Mathématique. Académie des Sciences, Paris
3 Mathematics and Financial Economics
3 Mathematical Geosciences
3 Set-Valued and Variational Analysis
3 SIAM/ASA Journal on Uncertainty Quantification
2 Discrete Applied Mathematics
2 Metrika
2 Applied Mathematics and Computation
2 Biometrics
2 Journal of the American Statistical Association
2 Journal of Economic Theory
2 Mathematische Nachrichten
2 Advances in Applied Mathematics
2 Random Structures & Algorithms
2 Economics Letters
2 Communications in Statistics. Theory and Methods
2 European Journal of Operational Research
2 Journal of Mathematical Imaging and Vision
2 Calculus of Variations and Partial Differential Equations
2 Journal of Mathematical Sciences (New York)
2 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics
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 Econometric Theory
2 Quantitative Finance
2 SIAM Journal on Financial Mathematics
2 Journal of Agricultural, Biological, and Environmental Statistics
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 Journal of Computational Physics
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 Optimization
1 Biometrical Journal
1 Geometriae Dedicata
1 International Statistical Review
1 Journal of Approximation Theory
1 Journal of Computer and System Sciences
1 Journal of Differential Equations
1 Journal of Functional Analysis
1 Journal of Mathematical Psychology
1 Journal of Soviet Mathematics
...and 72 more Serials
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Cited in 41 Fields

377 Probability theory and stochastic processes (60-XX)
217 Statistics (62-XX)
77 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
51 Measure and integration (28-XX)
48 Convex and discrete geometry (52-XX)
34 Computer science (68-XX)
30 Numerical analysis (65-XX)
29 Operations research, mathematical programming (90-XX)
25 Functional analysis (46-XX)
18 Real functions (26-XX)
17 Calculus of variations and optimal control; optimization (49-XX)
17 Statistical mechanics, structure of matter (82-XX)
15 Dynamical systems and ergodic theory (37-XX)
14 General topology (54-XX)
10 Mathematical logic and foundations (03-XX)
10 Information and communication theory, circuits (94-XX)
9 Systems theory; control (93-XX)
8 Combinatorics (05-XX)
8 Differential geometry (53-XX)
8 Biology and other natural sciences (92-XX)
5 Approximations and expansions (41-XX)
5 Geophysics (86-XX)
4 Order, lattices, ordered algebraic structures (06-XX)
4 Partial differential equations (35-XX)
4 Integral transforms, operational calculus (44-XX)
4 Integral equations (45-XX)
3 Ordinary differential equations (34-XX)
3 Operator theory (47-XX)
3 Algebraic topology (55-XX)
2 Group theory and generalizations (20-XX)
2 Difference and functional equations (39-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 Geometry (51-XX)
1 Global analysis, analysis on manifolds (58-XX)
1 Fluid mechanics (76-XX)
1 Optics, electromagnetic theory (78-XX)

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