Edit Profile (opens in new tab) Molchanov, Ilya S. Co-Author Distance Author ID: molchanov.ilya-s Published as: Molchanov, Ilya; Molchanov, I. S.; Molchanov, Ilya S.; Molchanov, I.; Molchanov, I. Eh. more...less Homepage: https://www.imsv.unibe.ch/ueber_uns/personen/prof_dr_molchanov_ilya/index_ger.ht... External Links: MGP · Math-Net.Ru Videos: carmin.tv Documents Indexed: 139 Publications since 1984, including 5 Books and 8 Additional arXiv Preprints 3 Contributions as Editor Reviewing Activity: 396 Reviews Co-Authors: 59 Co-Authors with 92 Joint Publications 1,510 Co-Co-Authors all top 5 Co-Authors 50 single-authored 11 Zuyev, Sergei 6 Schmutz, Michael 5 Cascos, Ignacio 4 Last, Günter 4 Marynych, Alexander V. 4 Molinari, Francesca 3 Bhattacharjee, Chinmoy 3 Chiu, Sung Nok 3 Davydov, Youri 3 Klesov, Oleg I. 3 Li, Qiyu 3 Shcherbakov, Vadim 3 Stoyan, Dietrich Kurt 3 Stucki, Kaspar 3 Terán, Pedro 3 Turin, Riccardo 2 Beresteanu, Arie 2 Evans, Steven Neil 2 Haier, Andreas 2 Heinrich, Lothar 2 Ilienko, Andrii B. 2 Kendall, Wilfrid S. 2 Kopp, Christoph 2 Kreinovich, Vladik Yakovlevich 2 Lépinette, Emmanuel 2 Mayer, Michael D. 2 Ralchenko, Kostiantyn V. 2 Tontchev, Nikolay 2 van Lieshout, Marie-Colette N. M. 1 Arnold, Sebastian 1 Asmussen, Søren 1 Basrak, Bojan 1 Bogdans’kyĭ, V. Yu. 1 Cascos-Fernández, Ignacio 1 Diaye, Marc-Arthur 1 Dong, Congzao 1 Friel, Nial 1 Hall, Peter Gavin 1 Heijmans, Henk J. A. M. 1 Horgan, Graham W. 1 Jagers, Peter 1 Kabluchko, Zakhar A. 1 Kampf, Jürgen 1 Kaval, K. 1 Koshevoy, Gleb A. 1 Kötzer, Stephan 1 Lachièze-Rey, Raphaël 1 Mrkvička, Tomáš 1 Mühlemann, Anja 1 Nagel, Felix 1 Omey, Edward 1 Peng, Sida 1 Planinić, Hrvoje 1 Quine, Malcolm P. 1 Rogers, Chris B. 1 Schulte, Matthias 1 Strokorb, Kirstin 1 Wespi, Florian 1 Ziegel, Johanna F. 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 5 Bernoulli 4 Stochastic Processes and their Applications 3 Theory of Probability and its Applications 3 Journal of Theoretical Probability 3 Electronic Journal of Probability 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 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 all top 5 Fields 117 Probability theory and stochastic processes (60-XX) 36 Statistics (62-XX) 17 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 11 Convex and discrete geometry (52-XX) 8 Measure and integration (28-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 5 Computer science (68-XX) 4 Functional analysis (46-XX) 4 General topology (54-XX) 3 General and overarching topics; collections (00-XX) 3 Real functions (26-XX) 2 Group theory and generalizations (20-XX) 2 Integral equations (45-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Number theory (11-XX) 1 Approximations and expansions (41-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral transforms, operational calculus (44-XX) 1 Operator theory (47-XX) 1 Numerical analysis (65-XX) 1 Operations research, mathematical programming (90-XX) 1 Biology and other natural sciences (92-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 107 Publications have been cited 1,197 times in 901 Documents Cited by ▼ Year ▼ Theory of random sets. Zbl 1109.60001 Molchanov, Ilya 320 2005 Theory of random sets. 2nd edition. Zbl 1406.60006 Molchanov, Ilya 64 2017 Statistics of the Boolean model for practitioners and mathematicians. Zbl 0878.62068 Molchanov, I. 60 1997 Sharp identification regions in models with convex moment predictions. Zbl 1242.91158 Beresteanu, Arie; Molchanov, Ilya; Molinari, Francesca 55 2011 Central limit theorem for a class of random measures associated with germ-grain models. Zbl 0941.60025 Heinrich, Lothar; Molchanov, Ilya S. 41 1999 Multivariate risks and depth-trimmed regions. Zbl 1164.91027 Cascos, Ignacio; Molchanov, Ilya 35 2007 On strong laws of large numbers for random upper semicontinuous functions. Zbl 0959.60003 Molchanov, Ilya S. 34 1999 A limit theorem for solutions of inequalities. Zbl 0915.60040 Molchanov, Ilya S. 33 1998 Strictly stable distributions on convex cones. Zbl 1196.60028 Davydov, Youri; Molchanov, Ilya; Zuyev, Sergei 33 2008 Multivariate risk measures: a constructive approach based on selections. Zbl 1368.91183 Molchanov, Ilya; Cascos, Ignacio 32 2016 Convex geometry of max-stable distributions. Zbl 1164.60003 Molchanov, Ilya 26 2008 The law of large numbers in a metric space with a convex combination operation. Zbl 1113.60014 Terán, Pedro; Molchanov, Ilya 20 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 New perspectives in stochastic geometry. Zbl 1183.60001 16 2010 Max-stable random sup-measures with comonotonic tail dependence. Zbl 1346.60072 Molchanov, Ilya; Strokorb, Kirstin 16 2016 Random sets in econometrics. Zbl 1464.62008 Molchanov, Ilya; Molinari, Francesca 16 2018 Convex and star-shaped sets associated with multivariate stable distributions. I: Moments and densities. Zbl 1196.60029 Molchanov, Ilya 15 2009 Limit theorems for unions of random closed sets. Zbl 0790.60015 Molchanov, Ilya S. 15 1993 Partial identification using random set theory. Zbl 1441.62607 Beresteanu, Arie; Molchanov, Ilya; Molinari, Francesca 15 2012 Limit theorems for diameter of a random sample in the unit ball. Zbl 1164.62003 Mayer, Michael; Molchanov, Ilya 14 2007 Conditional cores and conditional convex hulls of random sets. Zbl 1479.60019 Lépinette, Emmanuel; Molchanov, Ilya 14 2019 Invariance properties of random vectors and stochastic processes based on the zonoid concept. Zbl 1312.60005 Molchanov, Ilya; Schmutz, Michael; Stucki, Kaspar 14 2014 On the convex hull of symmetric stable processes. Zbl 1284.60094 Kampf, Jürgen; Last, Günter; Molchanov, Ilya 10 2012 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 Sequential methods for design-adaptive estimation of discontinuities in regression curves and surfaces. Zbl 1028.62069 Hall, Peter; Molchanov, Ilya 9 2003 A general law of large numbers, with applications. Zbl 1111.60004 Terán, Pedro; Molchanov, Ilya 8 2006 Limit theorems for unions of random sets under multiplicative normalization. Zbl 0807.60015 Molchanov, I. S. 8 1993 Stationarity of multivariate particle systems. Zbl 1321.60072 Molchanov, Ilya; Stucki, Kaspar 8 2013 Generalized expectations of random closed sets. Zbl 0936.60006 Molchanov, I. S. 7 1995 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 7 2015 Exchangeability-type properties of asset prices. Zbl 1233.60005 Molchanov, Ilya; Schmutz, Michael 6 2011 A limit theorem for scaled vacancies of the Boolean model. Zbl 0897.60013 Molchanov, I. S. 6 1996 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 6 2018 Convex hulls of Lévy processes. Zbl 1348.60071 Molchanov, Ilya; Wespi, Florian 6 2016 Link-save trading. Zbl 1142.91532 Kaval, K.; Molchanov, I. 5 2006 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 Tangent sets in the space of measures: with applications to variational analysis. Zbl 1053.49016 Molchanov, Ilya; Zuyev, Sergei 5 2000 Estimation of the size distribution of spherical grains in the Boolean model. Zbl 0727.60017 Molchanov, Ilya S. 5 1990 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 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 Distance transforms for real-valued functions. Zbl 1030.68097 Molchanov, Ilya S.; Terán, Pedro 4 2003 The semigroup of metric measure spaces and its infinitely divisible probability measures. Zbl 1355.43002 Evans, Steven N.; Molchanov, Ilya 4 2017 A generalisation of the fractional Brownian field based on non-Euclidean norms. Zbl 1319.60109 Molchanov, Ilya; Ralchenko, Kostiantyn 4 2015 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 Stability for random measures, point processes and discrete semigroups. Zbl 1339.60054 Davydov, Youri; Molchanov, Ilya; Zuyev, Sergei 3 2011 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 Gaussian approximation for sums of region-stabilizing scores. Zbl 1498.60087 Bhattacharjee, Chinmoy; Molchanov, Ilya 3 2022 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 Optimisation of linear unbiased intensity estimators for point processes. Zbl 1083.62077 Mrkvička, Tomáš; Molchanov, Ilya 3 2005 Risk arbitrage and hedging to acceptability under transaction costs. Zbl 1461.91317 Lépinette, Emmanuel; Molchanov, Ilya 3 2021 Nonlinear expectations of random sets. Zbl 1461.91283 Molchanov, Ilya; Mühlemann, Anja 3 2021 Optimal Poisson quantisation. Zbl 1128.60038 Molchanov, Ilya; Tontchev, Nikolay 2 2007 Random sets. A survey of results and applications. Zbl 0754.60019 Molchanov, I. S. 2 1991 Directional analysis of fibre processes related to Boolean models. Zbl 0811.60009 Molchanov, I. S.; Stoyan, D. 2 1994 Optimal approximation and quantisation. Zbl 1132.49023 Molchanov, Ilya; Tontchev, Nikolay 2 2007 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 New perspectives in stochastic geometry. Abstracts from the workshop held October 19th – October 25th, 2008. Zbl 1177.60004 2 2008 On convergence of empirical accompanying functionals of stationary random sets. Zbl 0664.60018 Molchanov, I. S. 2 1989 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 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 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 Random sets in finance and econometrics. Zbl 1201.60013 Molchanov, Ilya 2 2010 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 Structure of strictly Markov marked random closed sets. Zbl 0575.60013 Molchanov, I. S. 2 1985 Lift expectations of random sets. Zbl 1407.62171 Diaye, Marc-Arthur; Koshevoy, Gleb A.; Molchanov, Ilya 2 2019 Normal approximation of Kabanov-Skorohod integrals on Poisson spaces. Zbl 07865966 Last, G.; Molchanov, I.; Schulte, M. 2 2024 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 Facial structure of strongly convex sets generated by random samples. Zbl 1480.60024 Marynych, Alexander; Molchanov, Ilya 2 2022 Stable distributions and harmonic analysis on convex cones. Zbl 1112.60006 Davydov, Youri; Molchanov, Ilya; Zuyev, Sergei 1 2007 Handling with spatial censored observations in statistics of Boolean models of random sets. Zbl 0760.62089 Molchanov, Ilya S. 1 1992 On distributions of random closed sets and expected convex hulls. Zbl 0789.60009 Molchanov, Ilya S. 1 1993 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 Diffusion-limited aggregation with jumps and flights. Zbl 0969.60080 Molchanov, I. S. 1 1999 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 Foundations of stochastic geometry and theory of random sets. Zbl 1296.60022 Molchanov, Ilya 1 2013 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 An elementary renewal theorem for random compact convex sets. Zbl 0835.60006 Molchanov, Ilya S.; Omey, Edward; Kozarovitzky, Eugene 1 1995 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 Convex bodies generated by sublinear expectations of random vectors. Zbl 1479.52011 Molchanov, Ilya; Turin, Riccardo 1 2021 Averaging of random sets and binary images. Zbl 0927.60010 Molchanov, Ilya S. 1 1998 Marked random sets. Zbl 0575.60012 Molchanov, I. Eh. 1 1984 Normal approximation of Kabanov-Skorohod integrals on Poisson spaces. Zbl 07865966 Last, G.; Molchanov, I.; Schulte, M. 2 2024 Gaussian approximation for sums of region-stabilizing scores. Zbl 1498.60087 Bhattacharjee, Chinmoy; Molchanov, Ilya 3 2022 Facial structure of strongly convex sets generated by random samples. Zbl 1480.60024 Marynych, Alexander; Molchanov, Ilya 2 2022 Risk arbitrage and hedging to acceptability under transaction costs. Zbl 1461.91317 Lépinette, Emmanuel; Molchanov, Ilya 3 2021 Nonlinear expectations of random sets. Zbl 1461.91283 Molchanov, Ilya; Mühlemann, Anja 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 Convex bodies generated by sublinear expectations of random vectors. Zbl 1479.52011 Molchanov, Ilya; Turin, Riccardo 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 16 2018 Series representation of time-stable stochastic processes. Zbl 1411.60073 Kopp, Christoph; Molchanov, Ilya 6 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 Limit theorems for multidimensional renewal sets. Zbl 1438.60038 Ilienko, A.; Molchanov, I. 1 2018 Theory of random sets. 2nd edition. Zbl 1406.60006 Molchanov, Ilya 64 2017 The semigroup of metric measure spaces and its infinitely divisible probability measures. Zbl 1355.43002 Evans, Steven N.; Molchanov, Ilya 4 2017 Moment conditions in strong laws of large numbers for multiple sums and random measures. Zbl 1386.60176 Klesov, Oleg; Molchanov, Ilya 1 2017 Multivariate risk measures: a constructive approach based on selections. Zbl 1368.91183 Molchanov, Ilya; Cascos, Ignacio 32 2016 Max-stable random sup-measures with comonotonic tail dependence. Zbl 1346.60072 Molchanov, Ilya; Strokorb, Kirstin 16 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 7 2015 A generalisation of the fractional Brownian field based on non-Euclidean norms. Zbl 1319.60109 Molchanov, Ilya; Ralchenko, Kostiantyn 4 2015 Invariance properties of random vectors and stochastic processes based on the zonoid concept. Zbl 1312.60005 Molchanov, Ilya; Schmutz, Michael; Stucki, Kaspar 14 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 8 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 15 2012 On the convex hull of symmetric stable processes. Zbl 1284.60094 Kampf, Jürgen; Last, Günter; Molchanov, Ilya 10 2012 Sharp identification regions in models with convex moment predictions. Zbl 1242.91158 Beresteanu, Arie; Molchanov, Ilya; Molinari, Francesca 55 2011 Exchangeability-type properties of asset prices. Zbl 1233.60005 Molchanov, Ilya; Schmutz, Michael 6 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 16 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 33 2008 Convex geometry of max-stable distributions. Zbl 1164.60003 Molchanov, Ilya 26 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 35 2007 Limit theorems for diameter of a random sample in the unit ball. Zbl 1164.62003 Mayer, Michael; Molchanov, Ilya 14 2007 Optimal Poisson quantisation. Zbl 1128.60038 Molchanov, Ilya; Tontchev, Nikolay 2 2007 Optimal approximation and quantisation. Zbl 1132.49023 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 20 2006 A general law of large numbers, with applications. Zbl 1111.60004 Terán, Pedro; Molchanov, Ilya 8 2006 Link-save trading. Zbl 1142.91532 Kaval, K.; Molchanov, I. 5 2006 Theory of random sets. Zbl 1109.60001 Molchanov, Ilya 320 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. 33 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 On distributions of random closed sets and expected convex hulls. Zbl 0789.60009 Molchanov, Ilya S. 1 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 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 ...and 7 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,098 Authors 54 Molchanov, Ilya S. 21 Terán, Pedro 17 Heinrich, Lothar 17 Schmidt, Volker 15 Last, Günter 13 Hu, Yijun 13 Lépinette, Emmanuel 13 López-Díaz, Miguel 11 Cascos, Ignacio 11 Thäle, Christoph 11 Zuyev, Sergei 10 Chen, Yanhong 10 Hashorva, Enkelejd 10 Hug, Daniel 10 Rudloff, Birgit 9 Colubi, Ana 9 Wang, Yizao 8 Feinstein, Zachary 8 Fraiman, Ricardo 8 Gil, María Angeles 8 Kabluchko, Zakhar A. 8 Mai, Jan-Frederik 8 Penrose, Mathew D. 8 Quang, Nguyen Van 8 Schulte, Matthias 7 Cuevas, Antonio 7 Ginsbourger, David 7 Kaido, Hiroaki 7 Lachièze-Rey, Raphaël 7 Pawlas, Zbyněk 7 Trutschnig, Wolfgang 7 Yukich, Joseph Elliott 6 Ararat, Çağın 6 Davydov, Youri 6 Dombry, Clément 6 Hirsch, Christian 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 La Torre, Davide 5 Molinari, Francesca 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 Strokorb, Kirstin 5 Tamer, Elie 5 Thuan, Nguyen Tran 5 Wang, Yangeng 5 Xu, Huifu 4 Bai, Shuyang 4 Bect, Julien 4 Blanco-Fernández, Angela 4 Brunel, Victor-Emmanuel 4 Capasso, Vincenzo 4 Davini, Andrea 4 Falk, Michael 4 Hong, Dug Hun 4 Infusino, Maria 4 Kline, Brendan 4 Majumdar, Satya N. 4 Moller, Jesper 4 Mozharovskyi, Pavlo 4 Munari, Cosimo 4 Neuhäuser, David Werner 4 Nguyen, Hung Trung 4 Polonik, Wolfgang 4 Rosen, Adam M. 4 Salamanca, Juan Jesús 4 Samorodnitsky, Gennady Pinkhosovich 4 Scherer, Matthias 4 Segers, Johan 4 Siconolfi, Antonio 4 Sinova, Beatriz 4 Staněk, Jakub 4 Sun, Fei 3 Alonso de la Fuente, Miriam 3 Andrews, Donald Wilfrid Kao 3 Augustin, Thomas 3 Azzimonti, Dario 3 Bachoc, François 3 Baíllo, Amparo 3 Bhattacharya, Ayan 3 Bobrowski, Omer 3 Bongiorno, Enea Giuseppe ...and 998 more Authors all top 5 Cited in 225 Serials 36 Advances in Applied Probability 35 International Journal of Approximate Reasoning 34 Statistics & Probability Letters 33 Journal of Econometrics 32 Fuzzy Sets and Systems 27 Bernoulli 25 Extremes 23 Journal of Multivariate Analysis 20 Journal of Mathematical Analysis and Applications 17 The Annals of Applied Probability 17 Stochastic Processes and their Applications 14 Journal of Theoretical Probability 12 Scandinavian Journal of Statistics 12 The Annals of Statistics 12 Information Sciences 11 Stochastic Analysis and Applications 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 9 Lithuanian Mathematical Journal 9 Advances in Mathematics 9 Econometrica 8 Journal of Statistical Planning and Inference 8 Transactions of the American Mathematical Society 8 Journal of Statistical Computation and Simulation 8 Finance and Stochastics 8 Stochastics 8 Electronic Journal of Statistics 8 Quantitative Economics 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 Stochastic Models 6 ALEA. 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Advances in Statistical Analysis 2 The Annals of Applied Statistics 2 Probability Surveys 2 Journal of Business and Economic Statistics 2 Journal of Computational and Graphical Statistics 2 Journal of Agricultural, Biological, and Environmental Statistics ...and 125 more Serials all top 5 Cited in 49 Fields 514 Probability theory and stochastic processes (60-XX) 337 Statistics (62-XX) 143 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 76 Convex and discrete geometry (52-XX) 71 Measure and integration (28-XX) 51 Computer science (68-XX) 38 Numerical analysis (65-XX) 38 Operations research, mathematical programming (90-XX) 32 Functional analysis (46-XX) 25 Statistical mechanics, structure of matter (82-XX) 24 Real functions (26-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) 13 Differential geometry (53-XX) 13 Systems theory; control (93-XX) 10 Biology and other natural sciences (92-XX) 10 Information and communication theory, circuits (94-XX) 9 Operator theory (47-XX) 9 Geophysics (86-XX) 8 Partial differential equations (35-XX) 6 Ordinary differential equations (34-XX) 6 Algebraic topology (55-XX) 5 Order, lattices, ordered algebraic structures (06-XX) 5 Approximations and expansions (41-XX) 5 Integral transforms, operational calculus (44-XX) 5 Integral equations (45-XX) 4 Geometry (51-XX) 3 Group theory and generalizations (20-XX) 3 Difference and functional equations (39-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 History and biography (01-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 Manifolds and cell complexes (57-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) Citations by Year