메뉴 건너뛰기




Volumn 134, Issue 2, 2006, Pages 571-580

A Large Deviation Principle for random upper semicontinuous functions

Author keywords

Empirical process; Fuzzy random variable; Large deviation principle; Random set; Random upper semicontinuous function; Support process

Indexed keywords


EID: 33644506154     PISSN: 00029939     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0002-9939-05-08033-0     Document Type: Article
Times cited : (9)

References (20)
  • 1
    • 17544367952 scopus 로고    scopus 로고
    • Large deviations for empirical processes
    • (J. Hoffmann-Jørgensen, M. B. Marcus, J. A. Wellner, eds.), Birkhäuser, Boston. MR2033890 (2005a:60035)
    • M. A. Arcones (2003). Large deviations for empirical processes. In: High dimensional probability III (J. Hoffmann-Jørgensen, M. B. Marcus, J. A. Wellner, eds.), 205-223. Birkhäuser, Boston. MR2033890 (2005a:60035)
    • (2003) High Dimensional Probability III , pp. 205-223
    • Arcones, M.A.1
  • 2
    • 0003211244 scopus 로고
    • Convex analysis and measurable multifunctions
    • Springer, Berlin. MR0467310 (57:7169)
    • C. Castaing, M. Valadier (1977). Convex analysis and measurable multifunctions. Lecture Notes Math. 580. Springer, Berlin. MR0467310 (57:7169)
    • (1977) Lecture Notes Math. , vol.580
    • Castaing, C.1    Valadier, M.2
  • 3
    • 33644536595 scopus 로고    scopus 로고
    • Large deviations for sums of i.i.d. random compact sets
    • MR1487361 (99j:60016)
    • R. Cerf (1999). Large deviations for sums of i.i.d. random compact sets. Proc. Amer. Math. Soc. 127, 2431-2436. MR1487361 (99j:60016)
    • (1999) Proc. Amer. Math. Soc. , vol.127 , pp. 2431-2436
    • Cerf, R.1
  • 6
    • 0004034109 scopus 로고    scopus 로고
    • Springer, Berlin. MR0707513 (85d:60019)
    • Lecture Notes in Math. 990, Springer, Berlin. MR0707513 (85d:60019)
    • Lecture Notes in Math. , vol.990
  • 7
    • 0001577815 scopus 로고
    • Integrals, conditional expectations, and martingales of multivalued functions
    • MR0507504 (58:22463)
    • F. Hiai, H. Umegaki (1977). Integrals, conditional expectations, and martingales of multivalued functions. J. Multivar. Anal. 7, 149-182. MR0507504 (58:22463)
    • (1977) J. Multivar. Anal. , vol.7 , pp. 149-182
    • Hiai, F.1    Umegaki, H.2
  • 8
    • 0000635376 scopus 로고
    • Limit theorems for fuzzy random variables
    • MR0861082 (88b:60092)
    • E. P. Klement, M. L. Puri, D. A. Ralescu (1986). Limit theorems for fuzzy random variables. Proc. Roy. Soc. London Ser. A 407, 171-182. MR0861082 (88b:60092)
    • (1986) Proc. Roy. Soc. London Ser. A , vol.407 , pp. 171-182
    • Klement, E.P.1    Puri, M.L.2    Ralescu, D.A.3
  • 9
    • 0141850347 scopus 로고    scopus 로고
    • Central limit theorems for generalized set-valued random variables
    • MR2000152 (2004j:60050)
    • S. Li, Y. Ogura, F. N. Proske, M. L. Puri (2003). Central limit theorems for generalized set-valued random variables. J. Math. Anal. Appl. 285, 250-263. MR2000152 (2004j:60050)
    • (2003) J. Math. Anal. Appl. , vol.285 , pp. 250-263
    • Li, S.1    Ogura, Y.2    Proske, F.N.3    Puri, M.L.4
  • 11
    • 0001605105 scopus 로고    scopus 로고
    • On strong laws of large numbers for random upper semicontinuous functions
    • MR1758687 (2001c:60050)
    • I. S. Molchanov (1999). On strong laws of large numbers for random upper semicontinuous functions. J. Math. Anal. Appl. 235, 349-355. MR1758687 (2001c:60050)
    • (1999) J. Math. Anal. Appl. , vol.235 , pp. 349-355
    • Molchanov, I.S.1
  • 13
    • 33644501330 scopus 로고    scopus 로고
    • On limit theorems for random fuzzy sets including large deviation principles
    • (M. López-Dí'az, M. A. Gil, P. Grzegorzewski, O. Hryniewicz, J. Lawry, editors), Springer, Berlin. MR2118078
    • Y. Ogura, S. Li On limit theorems for random fuzzy sets including large deviation principles. In: Soft methodology and random information systems (M. López-Dí'az, M. A. Gil, P. Grzegorzewski, O. Hryniewicz, J. Lawry, editors), 32-44. Springer, Berlin. MR2118078
    • Soft Methodology and Random Information Systems , pp. 32-44
    • Ogura, Y.1    Li, S.2
  • 15
    • 0035994113 scopus 로고    scopus 로고
    • Central limit theorem for Banach space valued fuzzy random variables
    • MR1879975 (2003c:28022)
    • F. N. Proske, M. L. Puri (2002). Central limit theorem for Banach space valued fuzzy random variables. Proc. Amer. Math. Soc. 130, 1493-1501. MR1879975 (2003c:28022)
    • (2002) Proc. Amer. Math. Soc. , vol.130 , pp. 1493-1501
    • Proske, F.N.1    Puri, M.L.2
  • 16
    • 0041351880 scopus 로고    scopus 로고
    • A strong law of large numbers for generalized random sets from the viewpoint of empirical processes
    • MR1974352 (2004j:60071)
    • F. N. Proske, M. L. Puri (2003). A strong law of large numbers for generalized random sets from the viewpoint of empirical processes. Proc. Amer. Math. Soc. 131, 2937-2944. MR1974352 (2004j:60071)
    • (2003) Proc. Amer. Math. Soc. , vol.131 , pp. 2937-2944
    • Proske, F.N.1    Puri, M.L.2
  • 17
    • 84974069723 scopus 로고
    • Limit theorems for random compact sets in Banach space
    • MR0764504 (86c:60024)
    • M. L. Puri, D. A. Ralescu (1985). Limit theorems for random compact sets in Banach space. Math. Proc. Cambridge Phil. Soc. 97, 151-158. MR0764504 (86c:60024)
    • (1985) Math. Proc. Cambridge Phil. Soc. , vol.97 , pp. 151-158
    • Puri, M.L.1    Ralescu, D.A.2
  • 18
    • 0022674414 scopus 로고
    • Fuzzy random variables
    • MR0833596 (87f:03159)
    • M. L. Puri, D. A. Ralescu (1986). Fuzzy random variables. J. Math. Anal. Appl. 114, 409-422. MR0833596 (87f:03159)
    • (1986) J. Math. Anal. Appl. , vol.114 , pp. 409-422
    • Puri, M.L.1    Ralescu, D.A.2
  • 19
    • 17444414565 scopus 로고    scopus 로고
    • An embedding theorem for convex fuzzy sets
    • P. Terán (2005). An embedding theorem for convex fuzzy sets. Fuzzy Sets and Systems 152, 191-208.
    • (2005) Fuzzy Sets and Systems , vol.152 , pp. 191-208
    • Terán, P.1
  • 20
    • 33644534707 scopus 로고    scopus 로고
    • On Borel measurability and large deviations for fuzzy random variables
    • to appear
    • P. Terán (2004). On Borel measurability and large deviations for fuzzy random variables. Fuzzy Sets and Systems, to appear.
    • (2004) Fuzzy Sets and Systems
    • Terán, P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.