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Volumn 113, Issue 3, 1999, Pages 421-441

Statistical approach to some ill-posed problems for linear partial differential equations

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EID: 0033423965     PISSN: 01788051     EISSN: None     Source Type: Journal    
DOI: 10.1007/s004400050212     Document Type: Article
Times cited : (15)

References (21)
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    • (1997) Comm. in Math. Phys. , vol.189 , pp. 521-531
    • Chow, P.L.1    Khasminskii, R.Z.2
  • 4
    • 0041143760 scopus 로고
    • On optimal solutions of the deconvolution problem
    • Ermakov, M.: On optimal solutions of the deconvolution problem. Inverse Problems, 6, 863-872 (1990)
    • (1990) Inverse Problems , vol.6 , pp. 863-872
    • Ermakov, M.1
  • 5
    • 49849114033 scopus 로고
    • Well-posed extension of ill-posed problems
    • Franklin, J.: Well-posed extension of ill-posed problems. J. Math. Analys. and Appl. 31, 682-716 (1970)
    • (1970) J. Math. Analys. and Appl. , vol.31 , pp. 682-716
    • Franklin, J.1
  • 11
    • 0000162543 scopus 로고
    • Estimates of the signal, its derivatives and point of maximum for Gaussian distribution
    • Ibragimov, I.A., Khasminskii, R.Z.: Estimates of the signal, its derivatives and point of maximum for Gaussian distribution. Theory Probab. and Appl. 25, 703-730 (1980)
    • (1980) Theory Probab. and Appl. , vol.25 , pp. 703-730
    • Ibragimov, I.A.1    Khasminskii, R.Z.2
  • 12
    • 0000263477 scopus 로고
    • Asymptotically normal families of distributions and efficient estimation
    • Ibragimov, I.A., Khasminskii, R.Z.: Asymptotically normal families of distributions and efficient estimation. Ann. Statist. 19, 1681-1724 (1991)
    • (1991) Ann. Statist. , vol.19 , pp. 1681-1724
    • Ibragimov, I.A.1    Khasminskii, R.Z.2
  • 13
    • 0038831106 scopus 로고
    • On ill-posed problems
    • in Russian
    • Ivanov, V.K.: On ill-posed problems. Soviet Math., Sbornik. 61, 211-223 (1963) (in Russian)
    • (1963) Soviet Math., Sbornik , vol.61 , pp. 211-223
    • Ivanov, V.K.1
  • 14
    • 84972545853 scopus 로고
    • A statistical perspective on ill-posed inverse problems
    • O'Sullivan, F.: A statistical perspective on ill-posed inverse problems. Statist. Science 1, 502-527, 1986
    • (1986) Statist. Science , vol.1 , pp. 502-527
    • O'Sullivan, F.1
  • 15
    • 0001473437 scopus 로고
    • On estimation of a probability density function and mode
    • Parzen, E.: On estimation of a probability density function and mode. Ann. Math. Statist. 33, 1065-1076 (1962)
    • (1962) Ann. Math. Statist. , vol.33 , pp. 1065-1076
  • 16
  • 18
    • 0013261021 scopus 로고
    • Statistical approach to correctness of problems in mathematical physics
    • Sudakov, V.N., Halfin, L.A.: Statistical approach to correctness of problems in mathematical physics. Soviet Math. Doklady, 157, 1094-1096 (1964)
    • (1964) Soviet Math. Doklady , vol.157 , pp. 1094-1096
    • Sudakov, V.N.1    Halfin, L.A.2
  • 21
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    • An introduction to stochastic partial differential equations
    • Ecole deté Probabilité de Saint Flour XIV-1984, ed by P.L. Hennequin Berlin Heindelberg New York, Springer-Verlag
    • Walsh, J.B.: An introduction to stochastic partial differential equations. 'Ecole deté Probabilité de Saint Flour XIV-1984, ed by P.L. Hennequin (Lect. Notes in Math, vol 1180). Berlin Heindelberg New York, Springer-Verlag: 265-439 (1984)
    • (1984) Lect. Notes in Math , vol.1180 , pp. 265-439
    • Walsh, J.B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.