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Volumn 66, Issue 1, 1998, Pages 1-27

Random sets: Models and statistics

Author keywords

Aumann mean; Boolean model; Contact distribution function; Covariance; Excursion set; Fibre process; Particle; Point process; Poisson hard core process; Poisson process; Random closed set; Random compact set; Sphere packing; Stienen model; Voronoi tessellation

Indexed keywords


EID: 0032372934     PISSN: 03067734     EISSN: None     Source Type: Journal    
DOI: 10.1111/j.1751-5823.1998.tb00403.x     Document Type: Article
Times cited : (54)

References (109)
  • 4
    • 0041075294 scopus 로고    scopus 로고
    • On the expected measure of a random set
    • Advances in Theory and Applications of Random Sets. Oct 9-11, 1996, Fontainebleau (ed. D. Jeulin). Singapore: World Scientific Publ. Comp.
    • Baddeley, A. & Molchanov, I.S. (1997). On the expected measure of a random set. In: Advances in Theory and Applications of Random Sets. Proc. Int. Symp. Oct 9-11, 1996, Fontainebleau (ed. D. Jeulin). Singapore: World Scientific Publ. Comp. pp. 3-20.
    • (1997) Proc. Int. Symp. , pp. 3-20
    • Baddeley, A.1    Molchanov, I.S.2
  • 8
    • 0002658483 scopus 로고
    • Packing fraction and measures of disorder of ultradense packings of equal spheres. I. Nearly ordered packing
    • Bargiel, M. & Tory, E.M. (1993). Packing fraction and measures of disorder of ultradense packings of equal spheres. I. Nearly ordered packing. Adv. Powder Technol. 4, 79-101.
    • (1993) Adv. Powder Technol. , vol.4 , pp. 79-101
    • Bargiel, M.1    Tory, E.M.2
  • 9
    • 0025906338 scopus 로고
    • Stereology for pores in wheat bread: Statistical analyses for the Boolean model by serial sections
    • Bindrich, U. & Stoyan, D. (1990). Stereology for pores in wheat bread: statistical analyses for the Boolean model by serial sections. J. Microsc. 162, 231-239.
    • (1990) J. Microsc. , vol.162 , pp. 231-239
    • Bindrich, U.1    Stoyan, D.2
  • 10
    • 0007483226 scopus 로고
    • The significance of average mean curvature and its determination by quantitative metallurgy
    • Cahn, J.W. (1967). The significance of average mean curvature and its determination by quantitative metallurgy. Trans. Amer. Inst. Metall. Eng. 239, 610-616.
    • (1967) Trans. Amer. Inst. Metall. Eng. , vol.239 , pp. 610-616
    • Cahn, J.W.1
  • 11
    • 0001423611 scopus 로고    scopus 로고
    • Stochastic modelling and statistics of polymer crystallization processes
    • Capasso, V., Micheletti, A., De Giosa, M. & Mininni, R. (1996). Stochastic modelling and statistics of polymer crystallization processes. Surv. Math. Industry 6, 109-132.
    • (1996) Surv. Math. Industry , vol.6 , pp. 109-132
    • Capasso, V.1    Micheletti, A.2    De Giosa, M.3    Mininni, R.4
  • 13
    • 0000316579 scopus 로고
    • Limit theorems for the time of completion of Johnson-Mehl tessellations
    • Chiu, S.N. (1995). Limit theorems for the time of completion of Johnson-Mehl tessellations. Adv. Appl. Probab. 27, 889-910.
    • (1995) Adv. Appl. Probab. , vol.27 , pp. 889-910
    • Chiu, S.N.1
  • 14
    • 0000748168 scopus 로고
    • Theory of capacities
    • Choquet, G. (1953, 1954). Theory of capacities. Ann. Inst. Fourier V, 131-295.
    • (1953) Ann. Inst. Fourier , vol.5 , pp. 131-295
    • Choquet, G.1
  • 16
    • 84950433304 scopus 로고
    • A spatial statistical analysis of tumor growth
    • Cressie, N. & Hulting, F.L. (1992). A spatial statistical analysis of tumor growth. J. Amer. Statist. Assoc. 87, 272-283.
    • (1992) J. Amer. Statist. Assoc. , vol.87 , pp. 272-283
    • Cressie, N.1    Hulting, F.L.2
  • 19
    • 0040481155 scopus 로고
    • The quantitative estimation of mean surface curvature
    • DeHoff, R.T. (1967). The quantitative estimation of mean surface curvature. Trans. Amer. Inst. Metall. Eng. 239, 617-621.
    • (1967) Trans. Amer. Inst. Metall. Eng. , vol.239 , pp. 617-621
    • DeHoff, R.T.1
  • 20
    • 0000569526 scopus 로고
    • Binary mosaics and the spatial pattern of heather
    • Diggle, P.J. (1981). Binary mosaics and the spatial pattern of heather. Biometrika 64, 91-95.
    • (1981) Biometrika , vol.64 , pp. 91-95
    • Diggle, P.J.1
  • 23
    • 0030582812 scopus 로고    scopus 로고
    • On the number of high excursions of a linear growth process
    • Erhardsson, T. (1996). On the number of high excursions of a linear growth process. Stoch. Proc. Appl. 65, 31-53.
    • (1996) Stoch. Proc. Appl. , vol.65 , pp. 31-53
    • Erhardsson, T.1
  • 24
    • 0027684598 scopus 로고
    • Simulation of random close packed discs and spheres
    • Frost, R., Schön, J.C. & Salamon, P. (1993). Simulation of random close packed discs and spheres. Computat. Materials Sc. 1, 343-350.
    • (1993) Computat. Materials Sc. , vol.1 , pp. 343-350
    • Frost, R.1    Schön, J.C.2    Salamon, P.3
  • 25
  • 26
    • 0000579421 scopus 로고
    • Random subdivisions of space into crystals
    • Gilbert, E.N. (1962). Random subdivisions of space into crystals. Ann. Math. Statist. 33, 958-972.
    • (1962) Ann. Math. Statist. , vol.33 , pp. 958-972
    • Gilbert, E.N.1
  • 27
    • 0001206510 scopus 로고    scopus 로고
    • Coarsening at random: Characterizations, conjectures and counter-examples
    • (ed. D.Y. Lin). New York: Springer-Verlag
    • Gill, R.D., van der Laan, J.C. & Robins, J.M. (1997). Coarsening at random: characterizations, conjectures and counter-examples. In: Proc. First Seattle Conference on Biostatistics (ed. D.Y. Lin). New York: Springer-Verlag.
    • (1997) Proc. First Seattle Conference on Biostatistics
    • Gill, R.D.1    Van Der Laan, J.C.2    Robins, J.M.3
  • 30
    • 0040304544 scopus 로고    scopus 로고
    • Parameter estimation for marked Gibbs point processes through the maximum pseudo-likelihood method
    • Goulard, M., Särkkä, A. & Grabarnik, P. (1996). Parameter estimation for marked Gibbs point processes through the maximum pseudo-likelihood method. Scand. J. Statist. 23, 365-379.
    • (1996) Scand. J. Statist. , vol.23 , pp. 365-379
    • Goulard, M.1    Särkkä, A.2    Grabarnik, P.3
  • 31
    • 0000916074 scopus 로고
    • Morphologie mathématique et granulométries en place I, II
    • Haas, A., Matheron, G. & Serra, J. (1967). Morphologie mathématique et granulométries en place I, II. Ann. Mines 11, 736-753; 12, 767-782.
    • (1967) Ann. Mines , vol.11 , pp. 736-753
    • Haas, A.1    Matheron, G.2    Serra, J.3
  • 32
    • 0039056192 scopus 로고    scopus 로고
    • Nearest neighbour and hard sphere models in continuum percolation
    • Häggström, O. & Meester, R. (1996). Nearest neighbour and hard sphere models in continuum percolation. Random Struct. Algorithms 9, 295-315.
    • (1996) Random Struct. Algorithms , vol.9 , pp. 295-315
    • Häggström, O.1    Meester, R.2
  • 35
  • 36
    • 0002359086 scopus 로고
    • On existence and mixing properties of germ-grain models
    • Heinrich, L. (1992). On existence and mixing properties of germ-grain models. Statistics 23, 271-286.
    • (1992) Statistics , vol.23 , pp. 271-286
    • Heinrich, L.1
  • 37
    • 0007225034 scopus 로고
    • Asymptotic properties of minimum contrast estimators for parameters of Boolean models
    • Heinrich, L. (1993). Asymptotic properties of minimum contrast estimators for parameters of Boolean models. Metrika 40, 67-94.
    • (1993) Metrika , vol.40 , pp. 67-94
    • Heinrich, L.1
  • 38
    • 0039296215 scopus 로고    scopus 로고
    • Contact and chord length distribution functions of a stationary Voronoi tessellation
    • Heinrich, L. (1996). Contact and chord length distribution functions of a stationary Voronoi tessellation. Adv. Appl. Prob.
    • (1996) Adv. Appl. Prob.
    • Heinrich, L.1
  • 39
    • 0039296220 scopus 로고
    • Central limit theorem for a class of random measures associated with germ-grain models
    • June 1995
    • Heinrich, L. & Molchanov, I.S. (1995). Central limit theorem for a class of random measures associated with germ-grain models. CWI Report BS-R9518, June 1995.
    • (1995) CWI Report BS-R9518
    • Heinrich, L.1    Molchanov, I.S.2
  • 42
    • 0041075292 scopus 로고
    • Description du réseau poreux macroscopique de cokes moulés par un modèle morphologique
    • (Caen 1977), Practical Metallography, Stuttgart: Riederer Verlag
    • Jeulin, D. (1978). Description du réseau poreux macroscopique de cokes moulés par un modèle morphologique. Actes du Symposium "Analyse quantitative des microstructures en sciences des matériaux, biologie et médecine" (Caen 1977), Special Issues of Practical Metallography, no. 8. Stuttgart: Riederer Verlag, pp. 253-263.
    • (1978) Actes du Symposium "Analyse Quantitative des Microstructures en Sciences des Matériaux, Biologie et Médecine" , Issue.8 SPEC. ISSUE , pp. 253-263
    • Jeulin, D.1
  • 43
    • 0002292967 scopus 로고    scopus 로고
    • Dead leaves models: From space tessellation to random functions
    • Advances in Theory and Applications of Random Sets. Oct 9-11, 1996, Fontainebleau (ed. D. Jeulin). Singapore: World Scientific Publ. Comp.
    • Jeulin, D. (1997). Dead leaves models: From space tessellation to random functions. In: Advances in Theory and Applications of Random Sets. Proc. Int. Symp. Oct 9-11, 1996, Fontainebleau (ed. D. Jeulin). Singapore: World Scientific Publ. Comp. pp. 137-156.
    • (1997) Proc. Int. Symp. , pp. 137-156
    • Jeulin, D.1
  • 45
    • 22944443017 scopus 로고
    • Computer simulation of close random packing of equal spheres
    • Jodrey, W.S. & Tory, E.M. (1985). Computer simulation of close random packing of equal spheres. Phys. Rev. A 32, 2347-2351.
    • (1985) Phys. Rev. A , vol.32 , pp. 2347-2351
    • Jodrey, W.S.1    Tory, E.M.2
  • 46
    • 0020721240 scopus 로고
    • On the number of clumps resulting from the overlap of randomly placed figures in the plane
    • Kellerer, A.M. (1983). On the number of clumps resulting from the overlap of randomly placed figures in the plane. J. Appl. Prob. 20, 126-135.
    • (1983) J. Appl. Prob. , vol.20 , pp. 126-135
    • Kellerer, A.M.1
  • 47
    • 0027809018 scopus 로고
    • Numerical model for isothermal and non-isothermal crystallization of liquids and glasses
    • Kelton, K.F. (1993). Numerical model for isothermal and non-isothermal crystallization of liquids and glasses. J. Non-Crystalline Solids. 163, 283-296.
    • (1993) J. Non-Crystalline Solids , vol.163 , pp. 283-296
    • Kelton, K.F.1
  • 48
    • 0002210779 scopus 로고
    • Foundations of a theory of random sets
    • (eds. E.F. Harding & D.G. Kendall), London: J. Wiley & Sons
    • Kendall, D.G. (1974). Foundations of a theory of random sets. In: Stochastic Geometry (eds. E.F. Harding & D.G. Kendall), pp. 322-376, London: J. Wiley & Sons.
    • (1974) Stochastic Geometry , pp. 322-376
    • Kendall, D.G.1
  • 49
    • 0002559799 scopus 로고    scopus 로고
    • On some weighted Boolean models
    • Advances in Theory and Applications of Random Sets. Oct 9-11, 1996, Fontainebleau (ed. D. Jeulin). Singapore: World Scientific Publ. Comp.
    • Kendall, W.S. (1997). On some weighted Boolean models. In: Advances in Theory and Applications of Random Sets. Proc. Int. Symp. Oct 9-11, 1996, Fontainebleau (ed. D. Jeulin). Singapore: World Scientific Publ. Comp. pp. 105-120.
    • (1997) Proc. Int. Symp. , pp. 105-120
    • Kendall, W.S.1
  • 52
    • 0000558044 scopus 로고
    • Potts-model formulation of continuum percolation
    • Klein, W. (1982). Potts-model formulation of continuum percolation. Physical Review B26, 2677-2678.
    • (1982) Physical Review , vol.B26 , pp. 2677-2678
    • Klein, W.1
  • 54
    • 0000053713 scopus 로고
    • Statistical theory of crystallization of metals
    • Kolmogoroff, A.N. (1937). Statistical theory of crystallization of metals. Bull. Acad. Sci. USSR, Mat. Ser. 1, 355-359.
    • (1937) Bull. Acad. Sci. USSR, Mat. Ser. , vol.1 , pp. 355-359
    • Kolmogoroff, A.N.1
  • 57
    • 0005244550 scopus 로고
    • Random sets as a foundation for general data fusion
    • Applied Physics Laboratory, The Johns Hopkins University, Laurel, MD, June 14-18, 1993
    • Mahler, R.P.S. (1993). Random sets as a foundation for general data fusion. In: Proceedings 6th Joint Service Data Fusion Symp., vol. 1, part I, Applied Physics Laboratory, The Johns Hopkins University, Laurel, MD, June 14-18, 1993, pp. 358-394.
    • (1993) Proceedings 6th Joint Service Data Fusion Symp. , vol.1 , Issue.PART I , pp. 358-394
    • Mahler, R.P.S.1
  • 58
    • 0000199641 scopus 로고
    • Global integrated data fusion
    • Sundia Laboratories, Albuquerque, New Mexico, March 16-18, 1994
    • Mahler, R.P.S. (1994). Global integrated data fusion. 7th Nat. Symp. Sensor Fusion, Sundia Laboratories, Albuquerque, New Mexico, March 16-18, 1994.
    • (1994) 7th Nat. Symp. Sensor Fusion
    • Mahler, R.P.S.1
  • 59
    • 0012589174 scopus 로고
    • On the possible form of size distributions of mutually non-intersecting discs
    • Mase, S. (1985). On the possible form of size distributions of mutually non-intersecting discs. J. Appl. Prob. 23, 646-659.
    • (1985) J. Appl. Prob. , vol.23 , pp. 646-659
    • Mase, S.1
  • 62
    • 0040481154 scopus 로고
    • Poisson flats in Euclidean spaces. Part 1: A finite number of random uniform flats
    • Miles, R.E. (1969). Poisson flats in Euclidean spaces. Part 1: A finite number of random uniform flats. Adv. Appl. Prob. 1, 211-237.
    • (1969) Adv. Appl. Prob. , vol.1 , pp. 211-237
    • Miles, R.E.1
  • 63
  • 64
    • 0003247552 scopus 로고
    • Limit theorems for unions of random sets
    • Berlin: Springer-Verlag
    • Molchanov, I.S. (1993). Limit Theorems for Unions of Random Sets. Lecture Notes in Mathematics 1561. Berlin: Springer-Verlag.
    • (1993) Lecture Notes in Mathematics , pp. 1561
    • Molchanov, I.S.1
  • 65
    • 0001871767 scopus 로고
    • Statistics of the Boolean model: From the estimation of means to the estimation of distributions
    • Molchanov, I.S. (1995). Statistics of the Boolean model: from the estimation of means to the estimation of distributions. Adv. Appl. Prob. 27, 63-86.
    • (1995) Adv. Appl. Prob. , vol.27 , pp. 63-86
    • Molchanov, I.S.1
  • 66
    • 0030530976 scopus 로고    scopus 로고
    • Set-valued estimators for mean bodies related to Boolean models
    • Molchanov, I.S. (1996a). Set-valued estimators for mean bodies related to Boolean models. Statistics 28, 43-56.
    • (1996) Statistics , vol.28 , pp. 43-56
    • Molchanov, I.S.1
  • 67
    • 0007259921 scopus 로고    scopus 로고
    • A limit theorem for scaled vacancies in the Boolean model
    • Molchanov, I.S. (1996b). A limit theorem for scaled vacancies in the Boolean model. Stochastics, Stochastic Reports 58, 45-65.
    • (1996) Stochastics, Stochastic Reports , vol.58 , pp. 45-65
    • Molchanov, I.S.1
  • 70
    • 0000594254 scopus 로고
    • Asymptotic properties of estimators for parameters of the Boolean model
    • Molchanov, I.S. & Stoyan, D. (1994). Asymptotic properties of estimators for parameters of the Boolean model. Adv. Appl. Prob. 26, 301-323.
    • (1994) Adv. Appl. Prob. , vol.26 , pp. 301-323
    • Molchanov, I.S.1    Stoyan, D.2
  • 72
    • 0000605457 scopus 로고
    • Random Johnson-Mehl tessellations
    • Møller, J. (1992). Random Johnson-Mehl tessellations. Adv. Appl. Probab. 24, 814-844.
    • (1992) Adv. Appl. Probab. , vol.24 , pp. 814-844
    • Møller, J.1
  • 73
    • 0003231693 scopus 로고
    • Lectures on random Voronoi tessellations
    • Berlin, Heidelberg, New York: Springer-Verlag
    • Møller, J. (1994a). Lectures on Random Voronoi Tessellations. Lecture Notes in Statistics 87, Berlin, Heidelberg, New York: Springer-Verlag.
    • (1994) Lecture Notes in Statistics , vol.87
    • Møller, J.1
  • 74
    • 0007016464 scopus 로고
    • Discussion contribution
    • Møller, J. (1994b). Discussion contribution. Scand. J. Statist. 21, 346-349.
    • (1994) Scand. J. Statist. , vol.21 , pp. 346-349
    • Møller, J.1
  • 75
    • 0001625977 scopus 로고    scopus 로고
    • Markov chain Monte Carlo and spatial point processes
    • (ed. O. Barndorff-Nielsen, W.S. Kendall & M.N.M. van Lieshout). London: Chapman & Hall
    • Møller, J. (1997). Markov chain Monte Carlo and spatial point processes. In: Proc. Seminaire Européen de Statistique, Stochastic Geometry, Likelihood, and Computation (ed. O. Barndorff-Nielsen, W.S. Kendall & M.N.M. van Lieshout). London: Chapman & Hall.
    • (1997) Proc. Seminaire Européen de Statistique, Stochastic Geometry, Likelihood, and Computation
    • Møller, J.1
  • 77
    • 0006113474 scopus 로고
    • Contact and chord distributions of the Poisson-Voronoi tessellation
    • Muche, L. & Stoyan, D. (1992). Contact and chord distributions of the Poisson-Voronoi tessellation. J. Appl. Prob. 29, 467-471.
    • (1992) J. Appl. Prob. , vol.29 , pp. 467-471
    • Muche, L.1    Stoyan, D.2
  • 78
    • 0001206894 scopus 로고
    • Convergence and existence of random set functions
    • Norberg, T. (1984). Convergence and existence of random set functions. Ann. Prob. 12, 726-732.
    • (1984) Ann. Prob. , vol.12 , pp. 726-732
    • Norberg, T.1
  • 79
    • 51249167473 scopus 로고
    • On the existence of ordered couplings of random sets - With applications
    • Norberg, T. (1992). On the existence of ordered couplings of random sets - with applications. Israel J. Math. 77, 241-264.
    • (1992) Israel J. Math. , vol.77 , pp. 241-264
    • Norberg, T.1
  • 80
    • 85033876715 scopus 로고    scopus 로고
    • Size distributions for excursion sets
    • Advances in Theory and Applications of Random Sets. Oct 9-11, 1996, Fontainebleau (ed. D. Jeulin). Singapore: World Scientific Publ. Comp.
    • Nott, D.J. & Wilson, R.J. (1997a). Size distributions for excursion sets. In: Advances in Theory and Applications of Random Sets. Proc. Int. Symp. Oct 9-11, 1996, Fontainebleau (ed. D. Jeulin). Singapore: World Scientific Publ. Comp. pp. 175-196.
    • (1997) Proc. Int. Symp. , pp. 175-196
    • Nott, D.J.1    Wilson, R.J.2
  • 83
    • 0004172223 scopus 로고
    • Random fields
    • Berlin, Heidelberg, New York: Springer-Verlag
    • Preston, C.J. (1976). Random Fields. Lecture Notes in Mathematics, Berlin, Heidelberg, New York: Springer-Verlag.
    • (1976) Lecture Notes in Mathematics
    • Preston, C.J.1
  • 84
    • 0039296219 scopus 로고
    • Some mean value relations on stationary random mosaics in the space
    • Radecke, W. (1980). Some mean value relations on stationary random mosaics in the space. Math. Nachr. 97, 203-210.
    • (1980) Math. Nachr. , vol.97 , pp. 203-210
    • Radecke, W.1
  • 85
    • 0003065632 scopus 로고
    • On the measure of a random set I, II
    • Robbins, H.E. (1944, 1945). On the measure of a random set I, II. Ann. Math. Statist. 15, 70-74; 16, 342-347.
    • (1944) Ann. Math. Statist. , vol.15 , pp. 70-74
    • Robbins, H.E.1
  • 86
    • 0000428682 scopus 로고
    • On the convergence in distribution of measurable multifunctions (random sets), normal integrands, stochastic processes and stochastic infima
    • Salinetti, G. & Wets, J.-B. (1986). On the convergence in distribution of measurable multifunctions (random sets), normal integrands, stochastic processes and stochastic infima. Math. Oper. Res. 11, 385-422.
    • (1986) Math. Oper. Res. , vol.11 , pp. 385-422
    • Salinetti, G.1    Wets, J.-B.2
  • 88
    • 0002572644 scopus 로고    scopus 로고
    • Covariance of the Stienen model
    • Advances in Theory and Applications of Random Sets. Oct 9-11, 1996, Fontainebleau (ed. D. Jeulin). Singapore: World Scientific Publ. Comp.
    • Schlather, M. & Stoyan, D. (1997). Covariance of the Stienen model. In: Advances in Theory and Applications of Random Sets. Proc. Int. Symp. Oct 9-11, 1996, Fontainebleau (ed. D. Jeulin). Singapore: World Scientific Publ. Comp. pp. 157-174.
    • (1997) Proc. Int. Symp. , pp. 157-174
    • Schlather, M.1    Stoyan, D.2
  • 90
    • 85033889376 scopus 로고    scopus 로고
    • On the morphological discretization of random closed sets
    • Advances in Theory and Applications of Random Sets. Oct 9-11, 1996, Fontainebleau (ed. D. Jeulin). Singapore: World Scientific Publ. Comp.
    • Sivarkumar, K. & Goutsias, J. (1997). On the morphological discretization of random closed sets. In: Advances in Theory and Applications of Random Sets. Proc. Int. Symp. Oct 9-11, 1996, Fontainebleau (ed. D. Jeulin). Singapore: World Scientific Publ. Comp. pp. 49-66.
    • (1997) Proc. Int. Symp. , pp. 49-66
    • Sivarkumar, K.1    Goutsias, J.2
  • 91
    • 84982037254 scopus 로고
    • Statistical inference for a Gibbs point process of mutually non-intersecting discs
    • Stoyan, D. (1989). Statistical inference for a Gibbs point process of mutually non-intersecting discs. Biom. J. 31, 153-161.
    • (1989) Biom. J. , vol.31 , pp. 153-161
    • Stoyan, D.1
  • 92
    • 84972904994 scopus 로고
    • Stereological formulae for a random system of non-overlapping spheres
    • Stoyan, D. (1990). Stereological formulae for a random system of non-overlapping spheres. Statistics 21, 131-136.
    • (1990) Statistics , vol.21 , pp. 131-136
    • Stoyan, D.1
  • 93
    • 0031070955 scopus 로고    scopus 로고
    • Geometrical means, medians and variances for samples of particles
    • Stoyan, D. (1997). Geometrical means, medians and variances for samples of particles. Particle and Particle Systems Charact. 14, 30-34.
    • (1997) Particle and Particle Systems Charact. , vol.14 , pp. 30-34
    • Stoyan, D.1
  • 98
    • 0002744239 scopus 로고
    • Stereological problems for spherical particles - Second-order theory
    • Stoyan, D., von Wolfersdorf, L. & Ohser, J. (1990). Stereological problems for spherical particles - second-order theory. Math. Nachr. 146, 33-46.
    • (1990) Math. Nachr. , vol.146 , pp. 33-46
    • Stoyan, D.1    Von Wolfersdorf, L.2    Ohser, J.3
  • 99
    • 33747862408 scopus 로고
    • Random heterogeneous media: Microstructure and improved bounds on effective properties
    • Torquato, S. (1991). Random heterogeneous media: Microstructure and improved bounds on effective properties. Appl. Mech. Rev. 44, 37-76.
    • (1991) Appl. Mech. Rev. , vol.44 , pp. 37-76
    • Torquato, S.1
  • 100
    • 0030091898 scopus 로고    scopus 로고
    • Computer simulation of crystallization kinetics with non-Poisson distributed nuclei
    • Uebele, P. & Hermann, H. (1996). Computer simulation of crystallization kinetics with non-Poisson distributed nuclei. Modelling Simul. Mater. Sci. Eng. 4, 203-214.
    • (1996) Modelling Simul. Mater. Sci. Eng. , vol.4 , pp. 203-214
    • Uebele, P.1    Hermann, H.2
  • 101
    • 0030124723 scopus 로고    scopus 로고
    • Random set models of fire spread
    • Vorob'ev, O. (1996). Random set models of fire spread. Fire Technology 32, 137-173.
    • (1996) Fire Technology , vol.32 , pp. 137-173
    • Vorob'ev, O.1
  • 103
    • 0011303556 scopus 로고
    • The estimation of mean shape and mean particle number in overlapping particle systems in the plane
    • Weil, W. (1995). The estimation of mean shape and mean particle number in overlapping particle systems in the plane. Adv. Appl. Prob. 27, 102-119.
    • (1995) Adv. Appl. Prob. , vol.27 , pp. 102-119
    • Weil, W.1
  • 104
    • 84986703405 scopus 로고
    • Expectation formulas and isoperimetric properties for non-isotropic Boolean models
    • Weil, W. (1988). Expectation formulas and isoperimetric properties for non-isotropic Boolean models. J. Microsc. 151, 235-245.
    • (1988) J. Microsc. , vol.151 , pp. 235-245
    • Weil, W.1
  • 105
    • 0003106569 scopus 로고    scopus 로고
    • The mean normal distribution of stationary random sets and particle processes
    • Advances in Theory and Applications of Random Sets. Oct 9-11, 1996, Fontainebleau (ed. D. Jeulin). Singapore: World Scientific Publ. Comp.
    • Weil, W. (1997). The mean normal distribution of stationary random sets and particle processes. In: Advances in Theory and Applications of Random Sets. Proc. Int. Symp. Oct 9-11, 1996, Fontainebleau (ed. D. Jeulin). Singapore: World Scientific Publ. Comp. pp. 21-34.
    • (1997) Proc. Int. Symp. , pp. 21-34
    • Weil, W.1
  • 106
    • 36849104022 scopus 로고
    • New model for the study of liquid-vapour phase transition
    • Widom, J.S. & Rowlinson, B. (1970). New model for the study of liquid-vapour phase transition. J. Chem. Phys. 52, 1670-1684.
    • (1970) J. Chem. Phys. , vol.52 , pp. 1670-1684
    • Widom, J.S.1    Rowlinson, B.2
  • 107
    • 4243438873 scopus 로고
    • Random fractals generated by random cutouts
    • Zähle, U. (1984). Random fractals generated by random cutouts. Math. Nachr. 116, 27-52.
    • (1984) Math. Nachr. , vol.116 , pp. 27-52
    • Zähle, U.1
  • 109
    • 84985656305 scopus 로고
    • Mean figures and and mean shapes applied to biological figure and shape distributions in the plane
    • Ziezold, H. (1994). Mean figures and and mean shapes applied to biological figure and shape distributions in the plane. Biom. J. 36, 491-510.
    • (1994) Biom. J. , vol.36 , pp. 491-510
    • Ziezold, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.