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Volumn 19, Issue 3, 2001, Pages 289-314

On A Statistical Information Measure for A Generalized Samuelson-Black-Scholes Model

Author keywords

exploding drifts; I divergence; stochastic differential equations

Indexed keywords


EID: 85025247942     PISSN: 21931402     EISSN: 21967040     Source Type: Journal    
DOI: 10.1524/strm.2001.19.3.289     Document Type: Article
Times cited : (7)

References (26)
  • 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, 209 - 273 (1982).
    • (1982) Commun. Pure Appl. Math. , vol.35 , pp. - 273
    • Aizenman, M.1    Simon, B.2
  • 2
    • 85025289367 scopus 로고
    • Maβ- und Integrationstheorie, Berlin-New York
    • Bauer, H.: Maβ- und Integrationstheorie, Berlin-New York, Walter de Gruyter (1990).
    • (1990) Walter de Gruyter
    • Bauer, H.1
  • 3
    • 85015692260 scopus 로고
    • The pricing of options and corporate liabilities
    • Black, F. and Scholes, M.: The pricing of options and corporate liabilities. J. Political Econ. 81, 637 - 659 (1973).
    • (1973) J. Political Econ. , vol.81 , pp. - 659
    • Black, F.1    Scholes, M.2
  • 4
    • 0001317036 scopus 로고
    • Uncertainty, information and sequential experiments
    • De Groot, M. H.: Uncertainty, information and sequential experiments. Ann. Math. Statist. 33, 404 - 419 (1962).
    • (1962) Ann. Math. Statist. , vol.33 , pp. - 419
    • De Groot, M.H.1
  • 5
    • 0004188078 scopus 로고
    • Markov Processes
    • Berlin-Göttingen-Heidelberg, Springer
    • Dynkin, E.B.: Markov Processes, Vol.I, Berlin-Göttingen-Heidelberg, Springer (1965).
    • (1965)
    • Dynkin, E.B.1
  • 6
    • 85025265024 scopus 로고
    • Time reversal on Wiener space
    • L. Streit, eds.,
    • Föllmer, H.: Time reversal on Wiener space. In: S. Albeverio, Ph. Blanchard and L. Streit, eds., Stochastic Processes - Mathematics and Physics (Lect. Notes Math., Vol. 1158), 119 - 129 (1986).
    • (1986) In: S. Albeverio, Ph. Blanchard and , vol.119 , pp. 129
    • Föllmer, H.1
  • 7
    • 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, 285 - 301 (1960).
    • (1960) Theory Probab. Appl. , vol.5 , pp. - 301
    • Girsanov, I.V.1
  • 8
    • 85025298723 scopus 로고
    • Limit Theorems for Stochastic Processes
    • York
    • Jacod, J. and Shiryaev, A.N.: Limit Theorems for Stochastic Processes, Berlin-Heidelberg-New York, Springer (1987).
    • (1987) Berlin-Heidelberg-New
    • Jacod, J.1    Shiryaev, A.N.2
  • 9
    • 84964567533 scopus 로고
    • Erzeugen von Topologien und Projektionen in Wahrscheinlichkeits-räumen mittels f-Divergenzen
    • Kafka, P.: Erzeugen von Topologien und Projektionen in Wahrscheinlichkeits-räumen mittels f-Divergenzen. Diploma thesis, University of Salzburg. Austria (1995).
    • (1995) Diploma thesis, University of Salzburg. Austria
    • Kafka, P.1
  • 10
    • 0004171561 scopus 로고
    • Brownian Motion and Stochastic Calculus
    • 2nd ed, Berlin-Heidelberg-New York, Springer
    • Karatzas. I. and Shreve. S.E.: Brownian Motion and Stochastic Calculus, 2nd ed, Berlin-Heidelberg-New York, Springer (1991).
    • (1991)
    • Karatzas, I.1    Shreve, S.E.2
  • 11
    • 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, 309 - 318 (1959).
    • (1959) Theory Probab. Appl. , vol.4 , pp. - 318
    • Khas'minskii, R.Z.1
  • 14
    • 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, 10 - 20 (1954).
    • (1954) Nat. Sci. Rep. Ochanomizu Univ. , vol.5 , pp. - 20
    • Maruyama, G.1
  • 15
    • 0003074014 scopus 로고
    • Continuous Markov processes and stochastic equations
    • Maruyama, G.: Continuous Markov processes and stochastic equations. Rend. Circ. Mat. Palermo II Ser. 4, 48 - 90 (1955).
    • (1955) Rend. Circ. Mat. Palermo II Ser. , vol.4 , pp. - 90
    • Maruyama, G.1
  • 16
    • 0001756456 scopus 로고
    • On an identity for stochastic integrals
    • Novikov, A.A.: On an identity for stochastic integrals. Theory Probab. Appl. 17, 717 - 720 (1972).
    • (1972) Theory Probab. Appl. , vol.17 , pp. - 720
    • Novikov, A.A.1
  • 17
    • 0027599155 scopus 로고
    • Statistical Information and Discrimination
    • Österreicher, F. and Vajda, I.: Statistical Information and Discrimination. IEEE Trans. Inform. Theory 39, 1036-1039 (1993).
    • (1993) IEEE Trans. Inform. Theory , vol.39 , pp. 1036-1039
    • Österreicher, F.1    Vajda, I.2
  • 18
    • 0004085467 scopus 로고
    • The Bayesian Choice
    • New York-Berlin-Heidelberg, Springer
    • Robert, C. P.: The Bayesian Choice, New York-Berlin-Heidelberg, Springer (1994).
    • (1994)
    • Robert, C.P.1
  • 19
    • 0002677397 scopus 로고
    • Rational theory of warrant pricing
    • Samuelson, P.A.: Rational theory of warrant pricing. Ind. Management Rev. 6, 13 - 31 (1965).
    • (1965) Ind. Management Rev. , vol.6 , pp. - 31
    • Samuelson, P.A.1
  • 20
    • 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 Zürich, Switzerland (1990).
    • (1990) PhD thesis, University of Zürich, Switzerland
    • Stummer, W.1
  • 21
    • 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, 515 - 542 (1993).
    • (1993) Probab. Theory Relat. Fields , vol.97 , pp. - 542
    • Stummer, W.1
  • 22
    • 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, 327 - 336 (1998).
    • (1998) Statist. Probab. Letters , vol.36 , pp. - 336
    • Stummer, W.1
  • 23
    • 85025242358 scopus 로고    scopus 로고
    • On a statistical information measure of diffusion processes
    • To appear in Statist. Decisions.
    • Stummer, W.: On a statistical information measure of diffusion processes. To appear in Statist. Decisions.
    • Stummer, W.1
  • 24
    • 85025247386 scopus 로고    scopus 로고
    • On exponentials of additive functionals of Markov processes
    • To appear in Stochastic Processes Appl.
    • Stummer, W. and Sturm, K.-Th.: On exponentials of additive functionals of Markov processes. To appear in Stochastic Processes Appl.
    • Stummer, W.1    Sturm, K.-T.2


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