Haier, Andreas; Molchanov, Ilya Multivariate risk measures in the non-convex setting. (English) Zbl 1458.91229 Stat. Risk. Model. 36, No. 1-4, 25-35 (2019). Reviewer: Ilya S. Molchanov (Bern) MSC: 91G70 60D05 91G99 PDFBibTeX XMLCite \textit{A. Haier} and \textit{I. Molchanov}, Stat. Risk. Model. 36, No. 1--4, 25--35 (2019; Zbl 1458.91229) Full Text: DOI arXiv Link
Lachieze-Rey, Raphael; Molchanov, Ilya Regularity conditions in the realisability problem with applications to point processes and random closed sets. (English) Zbl 1358.60022 Ann. Appl. Probab. 25, No. 1, 116-149 (2015). Reviewer: Viktor Ohanyan (Erevan) MSC: 60D05 28C05 46A40 47B65 60G55 PDFBibTeX XMLCite \textit{R. Lachieze-Rey} and \textit{I. Molchanov}, Ann. Appl. Probab. 25, No. 1, 116--149 (2015; Zbl 1358.60022) Full Text: DOI arXiv Euclid
Molchanov, Ilya S. On strong laws of large numbers for random upper semicontinuous functions. (English) Zbl 0959.60003 J. Math. Anal. Appl. 235, No. 1, 349-355 (1999). Reviewer: Günter Last (Karlsruhe) MSC: 60D05 PDFBibTeX XMLCite \textit{I. S. Molchanov}, J. Math. Anal. Appl. 235, No. 1, 349--355 (1999; Zbl 0959.60003) Full Text: DOI
Molchanov, Ilya S. Averaging of random sets and binary images. (English) Zbl 0927.60010 CWI Q. 11, No. 4, 371-384 (1998). Reviewer: Günter Last (Braunschweig) MSC: 60D05 PDFBibTeX XMLCite \textit{I. S. Molchanov}, CWI Q. 11, No. 4, 371--384 (1998; Zbl 0927.60010)
Molchanov, Ilya S. Averaging and models of random sets and shapes. (English) Zbl 0927.60009 Proceedings of the 51st session of the International Statistical Institute, Istanbul, Turkey, August 18–26, 1997. Vol. 2. Voorburg: International Statistical Institute, 119-122 (1997). Reviewer: Günter Last (Braunschweig) MSC: 60D05 PDFBibTeX XMLCite \textit{I. S. Molchanov}, in: Proceedings of the 51st session of the International Statistical Institute, Istanbul, Turkey, August 18--26, 1997. Vol. 2. Voorburg: International Statistical Institute. 119--122 (1997; Zbl 0927.60009)
Molchanov, I. S. Generalized expectations of random closed sets. (English) Zbl 0936.60006 Àrato, M. (ed.) et al., New trends in probability and mathematical statistics. Proceedings of the second Ukrainian-Hungarian conference, Mukachevo, Ukraine, September 25-October 1, 1992. Kiev: TViMS. Teor. Veroyatn. Mat. Stat./Probab. Theory Math. Stat. 2, 391-403 (1995). Reviewer: A.D.Borisenko (Kyïv) MSC: 60D05 PDFBibTeX XMLCite \textit{I. S. Molchanov}, in: New trends in probability and mathematical statistics. Proceedings of the second Ukrainian-Hungarian conference, Mukachevo, Ukraine, September 25--October 1, 1992. Kiev: TViMS. 391--403 (1995; Zbl 0936.60006)
Molchanov, I. S. Statistical analysis of Boolean models with randomly scaled grains. (English. Ukrainian original) Zbl 0840.62087 Theory Probab. Math. Stat. 48, 105-110 (1994); translation from Teor. Jmovirn. Mat. Stat. 48, 147-154 (1993). MSC: 62M99 62G05 60D05 PDFBibTeX XMLCite \textit{I. S. Molchanov}, Theory Probab. Math. Stat. 48, 1 (1993; Zbl 0840.62087); translation from Teor. Jmovirn. Mat. Stat. 48, 147--154 (1993)
Molchanov, Ilya S. Limit theorems for unions of random closed sets. (English) Zbl 0790.60015 Lecture Notes in Mathematics. 1561. Berlin: Springer-Verlag. x, 157 p. DM 42.00; öS 327.60; sFr 46.50/pbk (1993). Reviewer: E.Pancheva (Sofia) MSC: 60D05 60-02 PDFBibTeX XMLCite \textit{I. S. Molchanov}, Limit theorems for unions of random closed sets. Berlin: Springer-Verlag (1993; Zbl 0790.60015) Full Text: DOI
Molchanov, Ilya S. On distributions of random closed sets and expected convex hulls. (English) Zbl 0789.60009 Stat. Probab. Lett. 17, No. 4, 253-257 (1993). Reviewer: W.Weil (Karlsruhe) MSC: 60D05 60B11 PDFBibTeX XMLCite \textit{I. S. Molchanov}, Stat. Probab. Lett. 17, No. 4, 253--257 (1993; Zbl 0789.60009) Full Text: DOI
Molchanov, Ilya S. Strong law of large numbers for unions of random closed sets. (English) Zbl 0789.60030 Stochastic Processes Appl. 46, No. 2, 199-212 (1993). Reviewer: A.M.Zapała (Lublin) MSC: 60F15 60D05 PDFBibTeX XMLCite \textit{I. S. Molchanov}, Stochastic Processes Appl. 46, No. 2, 199--212 (1993; Zbl 0789.60030) Full Text: DOI
Molchanov, I. S. Characterization of random closed sets stable with respect to union. (English. Russian original) Zbl 0839.60016 Theory Probab. Math. Stat. 46, 111-116 (1993); translation from Teor. Jmovirn. Mat. Stat. 46, 114-120 (1992). Reviewer: L.Heinrich (Freiberg) MSC: 60D05 60E07 PDFBibTeX XMLCite \textit{I. S. Molchanov}, Theory Probab. Math. Stat. 46, 1 (1992; Zbl 0839.60016); translation from Teor. Jmovirn. Mat. Stat. 46, 114--120 (1992)
Molchanov, Ilya S. Handling with spatial censored observations in statistics of Boolean models of random sets. (English) Zbl 0760.62089 Biom. J. 34, No. 5, 617-631 (1992). MSC: 62M30 60D05 62M99 PDFBibTeX XMLCite \textit{I. S. Molchanov}, Biom. J. 34, No. 5, 617--631 (1992; Zbl 0760.62089) Full Text: DOI
Molchanov, I. S. Empirical associated functionals and their application to the analysis of stable random sets and processes. (English. Russian original) Zbl 0736.60013 J. Sov. Math. 47, No. 5, 2742-2746 (1989); translation from Probl. Ustoĭch. Stokhasticheskikh Modeleĭ 1987, 75-79 (1987). Reviewer: L. Heinrich (Freiberg) MSC: 60D05 PDFBibTeX XMLCite \textit{I. S. Molchanov}, J. Sov. Math. 47, No. 5, 2742--2746 (1987; Zbl 0736.60013); translation from Probl. Ustoĭch. Stokhasticheskikh Modeleĭ 1987, 75--79 (1987) Full Text: DOI
Molchanov, I. Eh. Marked random sets. (English. Russian original) Zbl 0575.60012 Theory Probab. Math. Stat. 29, 113-119 (1984); translation from Teor. Veroyatn. Mat. Stat. 29, 93-98 (1983). MSC: 60D05 60G60 PDFBibTeX XMLCite \textit{I. Eh. Molchanov}, Theory Probab. Math. Stat. 29, 113--119 (1984; Zbl 0575.60012); translation from Teor. Veroyatn. Mat. Stat. 29, 93--98 (1983)