메뉴 건너뛰기




Volumn 17, Issue 4, 1999, Pages 359-376

On a Statistical Information Measure of Diffusion Processes

Author keywords

I divergence; multidimensional stochastic differential equations; singular drifts

Indexed keywords


EID: 33847331473     PISSN: 21931402     EISSN: 21967040     Source Type: Journal    
DOI: 10.1524/strm.1999.17.4.359     Document Type: Article
Times cited : (6)

References (16)
  • 1
    • 84990553776 scopus 로고
    • Brownian motion and Harnack inequality for Schrödinger operators
    • Aizenman, M. and Simon, B.: Brownian motion and Harnack inequality for Schrödinger operators. Commun. Pure Appl. Math. 35 (1982), 209 - 273
    • (1982) Commun. Pure Appl. Math. 35 , vol.209 , pp. 273
    • Aizenman, M.1    Simon, B.2
  • 2
    • 0001317036 scopus 로고
    • Uncertainty, information and sequential experiments
    • De Groot, M. H.: Uncertainty, information and sequential experiments. Ann. Math. Statist. 33 (1962), 404 - 419
    • (1962) Ann. Math. Statist. 33 , vol.404 , pp. 419
    • De Groot, M.H.1
  • 4
    • 0039690133 scopus 로고
    • On transforming a certain class of stochastic processes by absolutely continuous substitution of measures
    • Girsanov, I.V.: On transforming a certain class of stochastic processes by absolutely continuous substitution of measures. Theory Probab. Appl. 5 (1960), 285 - 301
    • (1960) Theory Probab. Appl. 5 , vol.285 , pp. 301
    • Girsanov, I.V.1
  • 5
    • 84964567533 scopus 로고
    • Erzeugen von Topologien und Projektionen in Wahrscheinlichkeits-raumen mittels f-Divergenzen
    • Kafka, P.: Erzeugen von Topologien und Projektionen in Wahrscheinlichkeits-raumen mittels f-Divergenzen. Diploma thesis, University of Salzburg, Austria, 1995
    • (1995) Diploma thesis, University of Salzburg, Austria
    • Kafka, P.1
  • 7
    • 0000612703 scopus 로고
    • On positive solutions of the equation Au + Vu = 0
    • Khas'minskii, R.Z.: On positive solutions of the equation Au + Vu = 0. Theory Probab. Appl. 4 (1959), 309 - 318
    • (1959) Theory Probab. Appl. 4 , vol.309 , pp. 318
    • Khas'minskii, R.Z.1
  • 9
    • 0009982910 scopus 로고
    • On the transition probability functions of the Markov processes
    • Maruyama, G.: On the transition probability functions of the Markov processes. Nat. Sci. Rep. Ochanomizu Univ. 5 (1954), 10-20
    • (1954) Nat. Sci. Rep. Ochanomizu Univ. , vol.5 , pp. 10-20
    • Maruyama, G.1
  • 10
    • 0003074014 scopus 로고
    • Continuous Markov processes and stochastic equations
    • Maruyama, G.: Continuous Markov processes and stochastic equations. Rend. Circ. Mat. Palermo II Ser. 4 (1955), 48 - 90
    • (1955) Rend. Circ. Mat. Palermo II Ser. 4 , vol.48 , pp. 90
    • Maruyama, G.1
  • 11
    • 0001756456 scopus 로고
    • On an identity for stochastic integrals
    • Novikov, A.A.: On an identity for stochastic integrals. Theory Probab. Appl. 17 (1972), 717 - 720
    • (1972) Theory Probab. Appl. 17 , vol.717 , pp. 720
    • Novikov, A.A.1
  • 12
    • 0027599155 scopus 로고    scopus 로고
    • Statistical Information and Discrimination
    • Österreicher, F. and Vajda, I.: Statistical Information and Discrimination. IEEE Trans. Inform. Theory 39 (1993), 1036- 1039
    • IEEE Trans. Inform. , vol.39 , pp. 1036-1039
    • Österreicher, F.1
  • 13
    • 0003764266 scopus 로고
    • The Novikov and Entropy Conditions of Diffusion Processes with Singular Drift
    • Stummer, W.: The Novikov and Entropy Conditions of Diffusion Processes with Singular Drift. PhD thesis, University of Zurich, Switzerland, 1990
    • (1990) PhD thesis, University of Zurich, Switzerland
    • Stummer, W.1
  • 14
    • 21344488105 scopus 로고
    • The Novikov and entropy conditions of multidimensional diffusion processes with singular drift
    • Stummer, W.: The Novikov and entropy conditions of multidimensional diffusion processes with singular drift. Probab. Theory Relat. Fields 97 (1993), 515 -542
    • (1993) Probab. Theory Relat. Fields 97 , vol.515 , pp. -542
    • Stummer, W.1
  • 15
    • 0032477419 scopus 로고    scopus 로고
    • On bounded entropy of solutions of multi-dimensional stochastic: differential equations
    • Stummer, W.: On bounded entropy of solutions of multi-dimensional stochastic: differential equations. Statist. Probab. Letters 36 (1998), 327 - 336
    • (1998) Statist. Probab. Letters 36 , vol.327 , pp. 336
    • Stummer, W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.