-
3
-
-
22844456367
-
Densities of idempotent measures and large deviations
-
Akian, M., Densities of idempotent measures and large deviations, Trans. Amer. Math. Soc., 351, 4515-4543, 1999.
-
(1999)
Trans. Amer. Math. Soc.
, vol.351
, pp. 4515-4543
-
-
Akian, M.1
-
4
-
-
51249179860
-
Distributions of random sets and random selections
-
Artstein, Z., Distributions of random sets and random selections, Israel J. Math., 46, 313-324, 1983.
-
(1983)
Israel J. Math.
, vol.46
, pp. 313-324
-
-
Artstein, Z.1
-
5
-
-
0000056568
-
A strong law of large numbers for random compact sets
-
Artstein, Z. and Vitale, R., A strong law of large numbers for random compact sets, Ann Probab., 3, 879-882, 1975.
-
(1975)
Ann Probab.
, vol.3
, pp. 879-882
-
-
Artstein, Z.1
Vitale, R.2
-
6
-
-
50549204934
-
Intervals of set-valued functions
-
Aumann, R.J., Intervals of set-valued functions, J. Math. Analysis and Appl., 12, 1-12, 1965.
-
(1965)
J. Math. Analysis and Appl.
, vol.12
, pp. 1-12
-
-
Aumann, R.J.1
-
7
-
-
0003556538
-
-
Lecture Notes in Pure and Applied Math.,Marcel Dekker, New York
-
Banas, J. and Goebel, K., Measures of Non-Compactness in Banach Spaces, Lecture Notes in Pure and Applied Math., Vol. 60, Marcel Dekker, New York, 1980.
-
(1980)
Measures of Non-Compactness in Banach Spaces,
, vol.60
-
-
Banas, J.1
Goebel, K.2
-
8
-
-
0001538825
-
Binary experiments minimax tests and 2-alternating ca-pacities,
-
Bednarski, T., Binary experiments, minimax tests and 2-alternating ca-pacities, Ann. Statist., 10, 226-232, 1982.
-
(1982)
Ann. Statist.
, vol.10
, pp. 226-232
-
-
Bednarski, T.1
-
11
-
-
84976167460
-
Representation of systems of meas-urable sets
-
Bollobas, B. and Varopoulos, N.Th., Representation of systems of meas-urable sets, Math. Proc. Camb. Phil. Soc., 78, 323-325, 1975.
-
(1975)
Math. Proc. Camb. Phil. Soc.
, vol.78
, pp. 323-325
-
-
Bollobas, B.1
Varopoulos, N.T.2
-
12
-
-
0347630859
-
-
Kluwer Academic, Dordrecht, The Netherlands,
-
Bosq, D., and Nguyen, H.T., A Course in Stochastic Processes: Stochas-tic Models and Statistical Inference, Kluwer Academic, Dordrecht, The Netherlands, 1996.
-
(1996)
A Course in Stochastic Processes: Stochas-tic Models and Statistical Inference,
-
-
Bosq, D.1
Nguyen, H.T.2
-
13
-
-
0003756330
-
-
J. Wiley, New York,
-
Cassell, C.M., Sarndal, C.E., and Wretman, J.H., Foundations of Infer-ence in Survey Sampling, J. Wiley, New York, 1977.
-
(1977)
Foundations of Infer-ence in Survey Sampling,
-
-
Cassell, C.M.1
Sarndal, C.E.2
Wretman, J.H.3
-
14
-
-
38249022049
-
Some characterization of lower prob-abilities and other monotone capacities through the use of Mobius in-version
-
Chateauneuf, A. and Jaffray, J.Y., Some characterization of lower prob-abilities and other monotone capacities through the use of Mobius in-version, Math. Social Sciences, 17, 263-283, 1989.
-
(1989)
Math. Social Sciences
, vol.17
, pp. 263-283
-
-
Chateauneuf, A.1
Jaffray, J.Y.2
-
15
-
-
0000748168
-
Theory of capacities,
-
Choquet, G., Theory of capacities, Ann. Inst. Fourier, V, 131-295, 1953-1954.
-
(1953)
Ann. Inst. Fourier,
, vol.V
, pp. 131-295
-
-
Choquet, G.1
-
16
-
-
0010943030
-
A central limit theorem for random sets
-
Cressie, N., A central limit theorem for random sets, Z. Wahrs. Geb., 49, 37-47, 1978.
-
(1978)
Z. Wahrs. Geb.
, vol.49
, pp. 37-47
-
-
Cressie, N.1
-
17
-
-
0023562446
-
Random set theory and problems of modeling
-
Cressie, N. and Laslett, G. M., Random set theory and problems of modeling, SIAM Review, 29, 557-574, 1987.
-
(1987)
SIAM Review
, vol.29
, pp. 557-574
-
-
Cressie, N.1
Laslett, G.M.2
-
18
-
-
0000212640
-
Integration of correspondences.
-
University of California Press,
-
Debreu, G., Integration of correspondences. In: Proceedings of the Fifth Berkeley Symposium Math. Statistics and Probability, Vol. 2, University of California Press, 351-372, 1967.
-
(1967)
In: Proceedings of the Fifth Berkeley Symposium Math Statistics and Probability,
, vol.2
, pp. 351-372
-
-
Debreu, G.1
-
19
-
-
0013426138
-
Quelques commentaires sur le prolongement de ca-pacites,
-
Springer-Verlag, Berlin,
-
Dellacharie, C., Quelques commentaires sur le prolongement de ca-pacites, in Lecture Notes in Mathematics, Vol. 191, Springer-Verlag, Berlin, 77-81, 1971.
-
(1971)
in Lecture Notes in Mathematics,
, vol.191
, pp. 77-81
-
-
Dellacharie, C.1
-
20
-
-
0003836047
-
-
Springer-Verlag, New York,
-
Dembo, A. and Zeitouni, O., Large Deviations Techniques and Applica-tions, Springer-Verlag, New York, 1998.
-
(1998)
Large Deviations Techniques and Applica-tions,
-
-
Dembo, A.1
Zeitouni, O.2
-
21
-
-
0000516376
-
Upper and lower probabilities induced from a multival-ued mapping
-
Dempster, A.P., Upper and lower probabilities induced from a multival-ued mapping, Ann. Math. Statist., 38, 325-339, 1967.
-
(1967)
Ann. Math. Statist.
, vol.38
, pp. 325-339
-
-
Dempster, A.P.1
-
22
-
-
0003489601
-
-
World Sci-entific, Singapore,
-
Diamond, P. and Kloeden, P., Metric Spaces of Fuzzy Sets, World Sci-entific, Singapore, 1994.
-
(1994)
Metric Spaces of Fuzzy Sets,
-
-
Diamond, P.1
Kloeden, P.2
-
23
-
-
0003678399
-
-
Plenum, New York,
-
Dubois, D. and Prade, H., Possibility Theory, Plenum, New York, 1988.
-
(1988)
Possibility Theory,
-
-
Dubois, D.1
Prade, H.2
-
27
-
-
0000310904
-
A concept of egalitarianism under participation constraints,
-
Dutta, B. and Ray, D., A concept of egalitarianism under participation constraints, Econometrika, 57(2), 615-635, 1989.
-
(1989)
Econometrika,
, vol.57
, Issue.2
, pp. 615-635
-
-
Dutta, B.1
Ray, D.2
-
28
-
-
0003798198
-
-
Polish Scientific Publ., Warszawa
-
Engelking, R., General Topology, Polish Scientific Publ., Warszawa, 1977.
-
(1977)
General Topology
-
-
Engelking, R.1
-
29
-
-
0003492844
-
-
Wiley, New York,
-
Ethier, S.N. and Kurtz, T.G., Markov Processes: Characterization and Convergence, Wiley, New York, 1986.
-
(1986)
Markov Processes: Characterization and Convergence,
-
-
Ethier, S.N.1
Kurtz, T.G.2
-
30
-
-
52549096282
-
Representatives of sequences of sets
-
Everett, C.J. and Whaples, G., Representatives of sequences of sets, Am. J. Math., 71, 287-293, 1949.
-
(1949)
Am. J. Math.
, vol.71
, pp. 287-293
-
-
Everett, C.J.1
Whaples, G.2
-
31
-
-
84990553777
-
Uncertainty, belief, and probability,
-
Fagin, R. and Halpern, J.Y., Uncertainty, belief, and probability, Com-putational Intelligence, 7, 160-173, 1991.
-
(1991)
Com-putational Intelligence
, vol.7
, pp. 160-173
-
-
Fagin, R.1
Halpern, J.Y.2
-
33
-
-
4043105645
-
On a statistical framework for estimation from random set observations
-
Feng, De-Jun and Feng, D., On a statistical framework for estimation from random set observations, J. Theoretical Prob., 17, 85-110, 2004.
-
(2004)
J. Theoretical Prob.
, vol.17
, pp. 85-110
-
-
Feng, D-J.1
Feng, D.2
-
34
-
-
85122714895
-
On Choquet weak convergence of ca-pacity functionals,
-
Chiang Mai, Thailand,
-
Feng, De-Jun and Nguyen, H.T., On Choquet weak convergence of ca-pacity functionals, Proceedings of the Fourth International Conference on Intelligent Technologies, Chiang Mai, Thailand, 2003, pp. 473-477.
-
(2003)
Proceedings of the Fourth International Conference on Intelligent Technologies,
, pp. 473-477
-
-
Feng, D-J.1
Nguyen, H.T.2
-
35
-
-
0000315591
-
Les elements aleatoires de nature quelque dans un espace distancie,
-
Frechet, M., Les elements aleatoires de nature quelque dans un espace distancie, Ann. Inst. Poincare, IV, 215-310, 1948.
-
(1948)
Ann. Inst Poincar
, vol.IV
, pp. 215-310
-
-
Frechet, M.1
-
36
-
-
0001206510
-
Coarsening at random: characterizations, conjectures, and counterexamples,
-
Springer-Verlag,
-
Gill, R.D., Van Der Laan, M.J., and Robins, J.M., Coarsening at random: characterizations, conjectures, and counterexamples, in Lecture Notes in Statistics, Vol. 123, Springer-Verlag, 255-294, 1997.
-
(1997)
in Lecture Notes in Statistics,
, vol.123
, pp. 255-294
-
-
Gill, R.D.1
Van Der Laan, M.J.2
Robins, J.M.3
-
37
-
-
84863774450
-
Weak convergence of bounded, monotone set functions in an abstract setting,
-
Girotto, B. and Holzer, S., Weak convergence of bounded, monotone set functions in an abstract setting, Real Analysis Exchange, 26(1), 157-176, 2000-2001.
-
(2000)
Real Analysis Exchange,
, vol.26
, Issue.1
, pp. 157-176
-
-
Girotto, B.1
Holzer, S.2
-
38
-
-
0001563471
-
Fuzzy sets as equivalence classes of random sets,
-
Yager, R. et al., Eds., Pergamon Press, New York, 1982.
-
Goodman, I.R., Fuzzy sets as equivalence classes of random sets, in Fuzzyets and Possibility Theory, Yager, R. et al., Eds., Pergamon Press, New York, 1982.
-
in Fuzzyets and Possibility Theory,
-
-
Goodman, I.R.1
-
39
-
-
0347246042
-
On the scoring ap-proach to admissibility of uncertainty measures in expert systems,
-
Goodman, I.R., Nguyen, H.T., and Rogers, G.S., On the scoring ap-proach to admissibility of uncertainty measures in expert systems, J.Math. Anal. and Appl., 159, 550-594, 1991.
-
(1991)
J.Math. Anal. and Appl.,
, vol.159
, pp. 550-594
-
-
Goodman, I.R.1
Nguyen, H.T.2
Rogers, G.S.3
-
41
-
-
0003600304
-
-
Springer-Verlag, New York,
-
Goutsias, J., Mahler, R., and Nguyen, H.T., Eds., Random Sets: Theory and Applications, Springer-Verlag, New York, 1997.
-
(1997)
Random Sets: Theory and Applications,
-
-
Goutsias, J.1
Mahler, R.2
Nguyen, H.T.3
-
42
-
-
0003742215
-
-
Kluwer Academic, Dordrecht, The Netherlands,
-
Grabisch, M., Nguyen, H.T., and Walker, E.A., Fundamentals of Uncer-tainty Calculi with Applications to Fuzzy Inference, Kluwer Academic, Dordrecht, The Netherlands, 1994.
-
(1994)
Fundamentals of Uncer-tainty Calculi with Applications to Fuzzy Inference,
-
-
Grabisch, M.1
Nguyen, H.T.2
Walker, E.A.3
-
43
-
-
0010930290
-
A Radon-Nikodym theorem for capacities
-
Graf, S., A Radon-Nikodym theorem for capacities, J. Reine Ang. Math., 320, 192-214, 1982.
-
(1982)
J. Reine Ang. Math.
, vol.320
, pp. 192-214
-
-
Graf, S.1
-
46
-
-
84963056434
-
On representatives of subsets
-
Hall, P., On representatives of subsets, J. London Math. Soc., 10, 26-30, 1935.
-
(1935)
J. London Math. Soc.
, vol.10
, pp. 26-30
-
-
Hall, P.1
-
47
-
-
0004207439
-
-
Springer-Verlag, Berlin-Heidelberg-New York
-
Halmos, P.R., Measure Theory, Springer-Verlag, Berlin-Heidelberg-New York, 1974.
-
(1974)
Measure Theory
-
-
Halmos, P.R.1
-
48
-
-
0000286970
-
The marriage problem
-
Halmos, P. and Vaughan, H.E., The marriage problem, Amer. J. Math., 10, 214, 215, 1950.
-
(1950)
Amer. J. Math.
, vol.10
, pp. 214-215
-
-
Halmos, P.1
Vaughan, H.E.2
-
50
-
-
0001341972
-
Estimation of a convex density contour in two dimen-sions
-
Hartigan, J.A., Estimation of a convex density contour in two dimen-sions, J. Amer. Statist. Assoc., 82, 267-270, 1987.
-
(1987)
J. Amer. Statist. Assoc.
, vol.82
, pp. 267-270
-
-
Hartigan, J.A.1
-
51
-
-
0000993483
-
Ignorability and coarse data
-
Heitjan, D.F. and Rubin, D.B., Ignorability and coarse data, Ann. Sta-tist., 19, 2244-2253, 1991.
-
(1991)
Ann. Sta-tist.
, vol.19
, pp. 2244-2253
-
-
Heitjan, D.F.1
Rubin, D.B.2
-
52
-
-
0038032110
-
-
Springer-Verlag, Berlin,
-
Hiriart-Urruty, J.B. and Lemarechal, C., Fundamentals of Convex Analysis, Springer-Verlag, Berlin, 2001.
-
(2001)
Fundamentals of Convex Analysis,
-
-
Hiriart-Urruty, J.B.1
Lemarechal, C.2
-
53
-
-
0000096577
-
The use of Choquet capacities in statistics,
-
book
-
Huber, P.J., The use of Choquet capacities in statistics, Bull. Inst. In-tern. Stat., XLV, book 4, 181-188, 1973.
-
(1973)
Bull. Inst In-tern. Stat
, vol.XLV
, Issue.4
, pp. 181-188
-
-
Huber, P.J.1
-
54
-
-
0001151052
-
Minimax tests and the Neyman-Pearson lemma for capacities
-
Huber, P.J. and Strassen, V., Minimax tests and the Neyman-Pearson lemma for capacities, Ann. Statist., 1, 251-263, 1973.
-
(1973)
Ann. Statist.
, vol.1
, pp. 251-263
-
-
Huber, P.J.1
Strassen, V.2
-
55
-
-
27744509608
-
On the maximum of conditional entropy for upper/lower probability generated by random sets.
-
In: Goutsias, J., Mahler, R., and Nguyen, H.T., Eds., Springer- Verlag, New York,
-
Jaffray, J.Y., On the maximum of conditional entropy for upper/lower probability generated by random sets. In: Goutsias, J., Mahler, R., and Nguyen, H.T., Eds., Random Sets: Theory and Applications, Springer- Verlag, New York, 107-127, 1997.
-
(1997)
Random Sets: Theory and Applications,
, pp. 107-127
-
-
Jaffray, J.Y.1
-
56
-
-
11944266539
-
Information theory and statistical mechanics
-
Jaynes, E.T., Information theory and statistical mechanics, Phys. Rev., 106, 620-630; 109, 171-182, 1957.
-
(1957)
Phys. Rev.
, vol.106-109
-
-
Jaynes, E.T.1
-
57
-
-
0002260533
-
Where do we stand on maximum entropy?
-
In: Levine, R.D. and Tribus, M., Eds., MIT Press, Cambridge, Massachusetts,
-
Jaynes, E.T., Where do we stand on maximum entropy? In: Levine, R.D. and Tribus, M., Eds., The Maximum Entropy Formalism, MIT Press, Cambridge, Massachusetts, 1979, 15-118.
-
(1979)
The Maximum Entropy Formalism,
, pp. 15-118
-
-
Jaynes, E.T.1
-
58
-
-
0020339049
-
Interpretation of membership functions of fuzzy sets in terms of plausibility and belief,
-
in: Gupta, M. and Sanchez, E., Eds., North Holland, Ams-terdam,
-
Kampe de Feriet, J., Interpretation of membership functions of fuzzy sets in terms of plausibility and belief, in: Gupta, M. and Sanchez, E., Eds., Fuzzy Information and Decision Processes, North Holland, Ams-terdam, 1982, 93-98.
-
(1982)
Fuzzy Information and Decision Processes,
, pp. 93-98
-
-
Feriet, K.D.J.1
-
59
-
-
0004001439
-
-
J. Wiley, New York,
-
Keeney, R.L. and Raifa, H., Decisions with Multiple Objectives: Prefer-ences and Value Tradeoffs, J. Wiley, New York, 1976.
-
(1976)
Decisions with Multiple Objectives: Prefer-ences and Value Tradeoffs,
-
-
Keeney, R.L.1
Raifa, H.2
-
61
-
-
0002210779
-
Foundations of a theory of random sets.
-
Harding, E.F and Kendal D.G., Eds., J. Wiley, New York,
-
Kendall, D.G., Foundations of a theory of random sets. In Stochastic Geometry, Harding, E.F. and Kendall, D.G., Eds., J. Wiley, New York, 322-376, 1974.
-
(1974)
In Stochastic Geometry,
, pp. 322-376
-
-
Kendall, D.G.1
-
62
-
-
0003617116
-
-
J. Wiley, New York,
-
Klein, E. and Thompson, A.C., Theory of Correspondences, J. Wiley, New York, 1984.
-
(1984)
Theory of Correspondences,
-
-
Klein, E.1
Thompson, A.C.2
-
63
-
-
0000162636
-
Sur les spaces complets
-
Kuratowski, C., Sur les spaces complets, Fund. Math., 15, 301-309, 1930.
-
(1930)
Fund. Math.
, vol.15
, pp. 301-309
-
-
Kuratowski, C.1
-
64
-
-
85122717871
-
On consistency of estimators based on ran-dom set observations
-
University of Houston-Downtown, Houston, Texas, December
-
Li, B. and Wang, T., On consistency of estimators based on ran-dom set observations. In Proceedings InTech'04, University of Houston-Downtown, Houston, Texas, December 2004.
-
(2004)
In Proceedings InTech'04,
-
-
Li, B.1
Wang, T.2
-
65
-
-
85122715624
-
Computational aspects of the CAR model and the Shapley value,
-
to appear.
-
Li, B. and Wang, T., Computational aspects of the CAR model and the Shapley value, Information Sciences, to appear.
-
Information Sciences,
-
-
Li, B.1
Wang, T.2
-
66
-
-
0012739121
-
-
Kluwer Academic Publishers, Dordrecht, The Netherlands,
-
Li, S., Ogura, Y., and Kreinovich, V., Limit Theorems and Applications of Set Valued and Fuzzy Valued Random Variables, Kluwer Academic Publishers, Dordrecht, The Netherlands, 2002.
-
(2002)
Limit Theorems and Applications of Set Valued and Fuzzy Valued Random Variables,
-
-
Li, S.1
Ogura, Y.2
Kreinovich, V.3
-
67
-
-
85122715460
-
Springer Lecture Notes in Control and Information Sciences,
-
Springer Verlag, Berlin,
-
Li, X., and Yong, J., Control Theory of Distributed Parameter Systems and Applications, Springer Lecture Notes in Control and Information Sciences, Vol. 159, Springer Verlag, Berlin, 1991.
-
(1991)
Control Theory of Distributed Parameter Systems and Applications,
, vol.159
-
-
Li, X.1
Yong, J.2
-
68
-
-
0002066122
-
Scoring rules and the inevitability of probability
-
Lindley, D.V., Scoring rules and the inevitability of probability, Intern. Statist. Rev., 50, 1-267, 1982.
-
(1982)
Intern. Statist. Rev.
, vol.50
, pp. 1-267
-
-
Lindley, D.V.1
-
70
-
-
21844497119
-
Asymptotic minimax recovery of sets with smooth boundaries,
-
Mammen, E. and Tsybakov, A.B., Asymptotic minimax recovery of sets with smooth boundaries, Ann. Statist. 23(2), 502-524, 1995.
-
(1995)
Ann Statist.
, vol.23
, Issue.2
, pp. 502-524
-
-
Mammen, E.1
Tsybakov, A.B.2
-
71
-
-
0030282665
-
Decomposition and representation of coalitional games
-
Marinacci, M., Decomposition and representation of coalitional games, Math. Oper. Res., 21, 1000-1015, 1996.
-
(1996)
Math. Oper. Res.
, vol.21
, pp. 1000-1015
-
-
Marinacci, M.1
-
72
-
-
77957812715
-
Introduction to the Mathematics of Ambiguity
-
Routledge, New York,
-
Marinacci, M. and Montrucchio, L., Introduction to the Mathematics of Ambiguity. In: Gilboa, I., Ed., Uncertainty in Economic Theory, Routledge, New York, 46-107, 2004.
-
(2004)
Uncertainty in Economic Theory,
, pp. 46-107
-
-
Marinacci, M.1
Montrucchio, L.2
-
75
-
-
0039286342
-
Calculating maximum entropy densities for belief functions,
-
Meyerowitz, A., Richman, F., and Walker, E.A., Calculating maximum entropy densities for belief functions, International J. Uncert., Fuzzi-ness, and Knowledge-Based Systems, 2, 377-389, 1994.
-
(1994)
International J. Uncert., Fuzzi-ness, and Knowledge-Based Systems
, vol.2
, pp. 377-389
-
-
Meyerowitz, A.1
Richman, F.2
Walker, E.A.3
-
76
-
-
84966237569
-
Topologies in spaces of subsets
-
Michael, E., Topologies in spaces of subsets, Trans. Amer. Math. Soc., 71, 152-182, 1951.
-
(1951)
Trans. Amer. Math. Soc.
, vol.71
, pp. 152-182
-
-
Michael, E.1
-
77
-
-
85122715941
-
Lecture Notes in Mathematics,
-
Springer-Verlag, Berlin,
-
Molchanov, I.S., Limit Theorems for Unions of Random Sets, Lecture Notes in Mathematics, Vol. 1561, Springer-Verlag, Berlin, 1993.
-
(1993)
Limit Theorems for Unions of Random Sets,
, vol.1561
-
-
Molchanov, I.S.1
-
80
-
-
85122717083
-
Lecture Notes in Computer Science,
-
Springer-Verlag,
-
Nelsen, R.B., An Introduction to Copulas, Lecture Notes in Computer Science, Vol. 139, Springer-Verlag, 1999.
-
(1999)
An Introduction to Copulas,
, vol.139
-
-
Nelsen, R.B.1
-
83
-
-
0001583284
-
On random sets with belief functions
-
Nguyen, H.T., On random sets with belief functions, J. Math. Anal. And Appl., 65, 531-542, 1978.
-
(1978)
J. Math. Anal. And Appl.
, vol.65
, pp. 531-542
-
-
Nguyen, H.T.1
-
84
-
-
26944488084
-
Survey sampling revisited and coarse data analysis
-
Nguyen, H.T., Survey sampling revisited and coarse data analysis, Thai Statistical Jornal, 2, 1-19, 2004.
-
(2004)
Thai Statistical Jornal
, vol.2
, pp. 1-19
-
-
Nguyen, H.T.1
-
85
-
-
0033101186
-
How to divide a territory? A new simple differential formalism for optimization of set-functions,
-
Nguyen, H.T. and Kreinovich, V., How to divide a territory? A new simple differential formalism for optimization of set-functions, Intern. J. Intell. Systems, 14, 223-251, 1999.
-
(1999)
Intern. J. Intell. Systems
, vol.14
, pp. 223-251
-
-
Nguyen, H.T.1
Kreinovich, V.2
-
86
-
-
80052925407
-
A negative version of Choquet theorem for Polish spaces
-
Nguyen, H.T. and Nguyen, N., A negative version of Choquet theorem for Polish spaces, East-West J. Math., 1, 61-71, 1998.
-
(1998)
East-West J. Math.
, vol.1
, pp. 61-71
-
-
Nguyen, H.T.1
Nguyen, N.2
-
87
-
-
85057705701
-
-
CRC Press, Boca Raton, Florida,
-
Nguyen, H.T., Prasad, R., and Walker, E.A., A First Course in Fuzzy and Neural Control, CRC Press, Boca Raton, Florida, 2002.
-
(2002)
A First Course in Fuzzy and Neural Control,
-
-
Nguyen, H.T.1
Prasad, R.2
Walker, E.A.3
-
88
-
-
85122716739
-
-
Springer-Verlag, New York
-
Nguyen, H.T. and Rogers, G.S., Fundamentals of Mathematical Statis-tics, Vols. I and II, Springer-Verlag, New York, 1989.
-
(1989)
Fundamentals of Mathematical Statis-tics,
, vol.I
, Issue.II
-
-
Nguyen, H.T.1
Rogers, G.S.2
-
89
-
-
0003766367
-
-
3rd ed., Chapman and Hall/CRC, Boca Raton, Florida,
-
Nguyen, H.T. and Walker, E.A., A First Course in Fuzzy Logic, 3rd ed., Chapman and Hall/CRC, Boca Raton, Florida, 2005.
-
(2005)
A First Course in Fuzzy Logic,
-
-
Nguyen, H.T.1
Walker, E.A.2
-
90
-
-
85122714587
-
-
Tsinghua University Press, Beijing
-
Nguyen, H.T. and Wang, T., A First Course in Probability and Statis-tics, Vols. I and II, Tsinghua University Press, Beijing, 2006.
-
(2006)
A First Course in Probability and Statis-tics,
, vol.I
, Issue.II
-
-
Nguyen, H.T.1
Wang, T.2
-
91
-
-
33750291273
-
-
Springer Verlag, Berlin,
-
Nguyen, H.T. and Wu, B., Fundamentals of Fuzzy Statistics, Springer Verlag, Berlin, 2006.
-
(2006)
Fundamentals of Fuzzy Statistics,
-
-
Nguyen, H.T.1
Wu, B.2
-
92
-
-
0001642186
-
The excess-mass ellipsoid
-
Nolan, D., The excess-mass ellipsoid, J. Multivariate Anal., 39, 348-371, 1991.
-
(1991)
J. Multivariate Anal.
, vol.39
, pp. 348-371
-
-
Nolan, D.1
-
93
-
-
0001206894
-
Convergence and existence of random set distributions
-
Norberg, T., Convergence and existence of random set distributions, Ann. Prob., 12, 726-732, 1984.
-
(1984)
Ann. Prob.
, vol.12
, pp. 726-732
-
-
Norberg, T.1
-
94
-
-
0039093389
-
Random capacities and their distributions
-
Norberg, T., Random capacities and their distributions, Prob. Theory and Random Fields, 73, 281-197, 1986.
-
(1986)
Prob. Theory and Random Fields
, vol.73
, pp. 197-281
-
-
Norberg, T.1
-
95
-
-
0042387204
-
Semicontinuous processes in multidimensional extreme value theory,
-
27-55
-
Norberg, T., Semicontinuous processes in multidimensional extreme value theory, Stochastic Process. Appl. 25(1), 27-55, 1987.
-
(1987)
Stochastic Process. Appl
, vol.25
, Issue.1
-
-
Norberg, T.1
-
96
-
-
51249167473
-
On the existence of ordered couplings of random sets with applications
-
Norberg, T., On the existence of ordered couplings of random sets with applications, Israel J. Math., 77, 241-264, 1992.
-
(1992)
Israel J. Math.
, vol.77
, pp. 241-264
-
-
Norberg, T.1
-
97
-
-
0004260006
-
-
Saunders Co., Philadelphia
-
Owen, G., Game Theory, Saunders Co., Philadelphia, 1968.
-
(1968)
Game Theory
-
-
Owen, G.1
-
100
-
-
0002491164
-
Density estimation under qualitative assumptions in higher dimensions
-
Polonik, W., Density estimation under qualitative assumptions in higher dimensions, Journ. Multi. Analysis, 55, 61-81, 1995.
-
(1995)
Journ. Multi. Analysis
, vol.55
, pp. 61-81
-
-
Polonik, W.1
-
101
-
-
0001030653
-
Measuring mass concentration and estimating density con-tour clusters: an excess mass approach
-
Polonik, W., Measuring mass concentration and estimating density con-tour clusters: an excess mass approach, Ann. Statist., 23, 855-881, 1995.
-
(1995)
Ann. Statist.
, vol.23
, pp. 855-881
-
-
Polonik, W.1
-
104
-
-
0000321757
-
Locally finite random sets: foundations for point process theory
-
Ripley, B., Locally finite random sets: foundations for point process theory, Ann Prob., 4, 983-994, 1976.
-
(1976)
Ann Prob.
, vol.4
, pp. 983-994
-
-
Ripley, B.1
-
105
-
-
0003065632
-
On the measure of a random set
-
Robbins, H.E., On the measure of a random set, Ann. Math, Statist., 14, 70-74, 1944.
-
(1944)
Ann. Math, Statist.
, vol.14
, pp. 70-74
-
-
Robbins, H.E.1
-
106
-
-
34347166234
-
Theory of Mobius functions
-
Rota, G.C., Theory of Mobius functions, Z. Wahrs. Geb., 2, 340-368, 1964.
-
(1964)
Z. Wahrs. Geb.
, vol.2
, pp. 340-368
-
-
Rota, G.C.1
-
108
-
-
0001829182
-
On the convergence of sequences of convex sets in finite dimension
-
Salinetti, G. and Wets, J.B., On the convergence of sequences of convex sets in finite dimension, SIAM Review, 21, 18-33, 1979.
-
(1979)
SIAM Review
, vol.21
, pp. 18-33
-
-
Salinetti, G.1
Wets, J.B.2
-
109
-
-
0011544433
-
On the convergence of closed-valued meas-urable multifunctions,
-
Salinetti, G. and Wets, J.B., On the convergence of closed-valued meas-urable multifunctions, Transactions of the American Math. Society, 266 (1), 1981.
-
(1981)
Transactions of the American Math Society
, vol.266
, Issue.1
-
-
Salinetti, G.1
Wets, J.B.2
-
110
-
-
0000428682
-
On the convergence in distribution of measurable multifunctions (random sets) normal integrands, stochastic processes, and stochastic infima,
-
Salinetti, G. and Wets, J.B., On the convergence in distribution of measurable multifunctions (random sets), normal integrands, stochastic processes, and stochastic infima, Math. Oper. Res., 11, 385-422, 1986.
-
(1986)
Math. Oper. Res.
, vol.11
, pp. 385-422
-
-
Salinetti, G.1
Wets, J.B.2
-
111
-
-
0004018193
-
-
Springer-Verlag, Berlin, Heidelberg,
-
Sarndal, C.E., Swensson, B., and Wretman, J., Model Assisted Survey Sampling, Springer-Verlag, Berlin, Heidelberg, 1992.
-
(1992)
Model Assisted Survey Sampling,
-
-
Sarndal, C.E.1
Swensson, B.2
Wretman, J.3
-
112
-
-
84968501330
-
Integral representation without additivity
-
Schneidler, D., Integral representation without additivity, Proceedings Amer. Math. Soc., 97, 255-261, 1986.
-
(1986)
Proceedings Amer. Math. Soc.
, vol.97
, pp. 255-261
-
-
Schneidler, D.1
-
113
-
-
4043090222
-
Statistical inference from set-valued observations
-
Schreiber, T., Statistical inference from set-valued observations, Prob.Math. Statist., 20, 223-235, 2000.
-
(2000)
Prob.Math. Statist.
, vol.20
, pp. 223-235
-
-
Schreiber, T.1
-
116
-
-
0003667620
-
-
Dover, New York,
-
Shilov, G.E. and Gurevich, B.L., Integral, Measure and Derivative: A Unified Approach, Dover, New York, 1977.
-
(1977)
Integral, Measure and Derivative: A Unified Approach,
-
-
Shilov, G.E.1
Gurevich, B.L.2
-
117
-
-
0004216481
-
-
Marcel Dekker, New York,
-
Spiegel, E. and O'Donnell, C.J., Incidence Algebras, Marcel Dekker, New York, 1997.
-
(1997)
Incidence Algebras,
-
-
Spiegel, E.1
O'Donnell, C.J.2
-
118
-
-
0000649228
-
The existence of probability measures with given marginals
-
Strassen, V., The existence of probability measures with given marginals, Ann. Math. Statist., 36, 423-439, 1965.
-
(1965)
Ann. Math. Statist.
, vol.36
, pp. 423-439
-
-
Strassen, V.1
-
120
-
-
0031478562
-
On nonparametric estimation of density level sets
-
Tsybakov, A.B., On nonparametric estimation of density level sets, Ann. Statist., 25, 948-969, 1997.
-
(1997)
Ann. Statist.
, vol.25
, pp. 948-969
-
-
Tsybakov, A.B.1
-
121
-
-
0040900312
-
Preservation theorems for Glivanko-Cantelli and uniform Glivanko-Cantelli classes
-
In: Gine, E., Mason, D., and Werllner, J.A., Eds., Birkhauser, Boston
-
Van der Vaart, A.W. and Wellner, J.A. Preservation theorems for Glivanko-Cantelli and uniform Glivanko-Cantelli classes. In: Gine, E., Mason, D., and Werllner, J.A., Eds., High Dimensional Probability II, Birkhauser, Boston, 2000, pp. 113-132.
-
(2000)
High Dimensional Probability
, vol.II
, pp. 113-132
-
-
Van Der Vaart, A.W.1
Wellner, J.A.2
-
123
-
-
38249030734
-
Narrow and vague convergence of set-functions
-
Vervaat, W., Narrow and vague convergence of set-functions, Statist. and Prob. Letters, 6, 295-298, 1988.
-
(1988)
Statist. and Prob. Letters
, vol.6
, pp. 295-298
-
-
Vervaat, W.1
-
124
-
-
0001137927
-
Survey of measurable selection theorems
-
Wagner, D.H., Survey of measurable selection theorems, SIAM J. Con-trol and Opt., 15, 859-903, 1977.
-
(1977)
SIAM J. Con-trol and Opt.
, vol.15
, pp. 859-903
-
-
Wagner, D.H.1
-
125
-
-
0002582488
-
Survey of measurable selection theorems: an update
-
Wagner, D.H., Survey of measurable selection theorems: an update, Lecture Notes in Math., 749, 176-219, 1979.
-
(1979)
Lecture Notes in Math.
, vol.749
, pp. 176-219
-
-
Wagner, D.H.1
-
127
-
-
0000012623
-
Prior envelopes based on belief functions
-
Wasserman, L., Prior envelopes based on belief functions, Ann. Statist., 18, 454-464, 1990.
-
(1990)
Ann. Statist.
, vol.18
, pp. 454-464
-
-
Wasserman, L.1
-
128
-
-
49349133217
-
Fuzzy sets as a basis for a theory of probability
-
Zadeh, L.A., Fuzzy sets as a basis for a theory of probability, Fuzzy Sets and Systems, 1, 3-28, 1978.
-
(1978)
Fuzzy Sets and Systems
, vol.1
, pp. 3-28
-
-
Zadeh, L.A.1
-
129
-
-
0037097222
-
Toward a perception-based theory of probabilistic reason-ing with imprecise probabilities
-
Zadeh, L.A., Toward a perception-based theory of probabilistic reason-ing with imprecise probabilities, J. Statistic. Planning and Inference, 105, 233-264, 2002.
-
(2002)
J. Statistic. Planning and Inference
, vol.105
, pp. 233-264
-
-
Zadeh, L.A.1
|