-
2
-
-
33747376297
-
Hitting and martingale characterizations of one-dimensional diffusions
-
Arbib, M.A. (1965) Hitting and martingale characterizations of one-dimensional diffusions. Z. Wahrscheinlichkeitstheorie Verw. Geb., 4, 232-247.
-
(1965)
Z. Wahrscheinlichkeitstheorie Verw. Geb.
, vol.4
, pp. 232-247
-
-
Arbib, M.A.1
-
3
-
-
0001707003
-
A review of stochastic volatility models with application to option pricing
-
Ball, C.A. (1993) A review of stochastic volatility models with application to option pricing. Financial Markets Institutions Instruments, 2(5), 55-71.
-
(1993)
Financial Markets Institutions Instruments
, vol.2
, Issue.5
, pp. 55-71
-
-
Ball, C.A.1
-
4
-
-
0003438193
-
-
(ed. A. Erdélyi, with W. Magnus, F. Oberhettinger and F.G. Tricomi), New York: McGraw-Hill
-
Bateman Manuscript Project (1954) Tables of Integral Transforms (ed. A. Erdélyi, with W. Magnus, F. Oberhettinger and F.G. Tricomi), Vol. I. New York: McGraw-Hill.
-
(1954)
Tables of Integral Transforms
, vol.1
-
-
-
7
-
-
0002181147
-
First exit times from a square root boundary
-
L. Le Cam and J. Neyman (eds). Berkeley: University of California Press
-
Breiman, L. (1967) First exit times from a square root boundary. In L. Le Cam and J. Neyman (eds), Proceedings of the Fifth Berkeley Symposium on Mathematical Statistics and Probability, Vol. 2, Part 2, pp. 9-16. Berkeley: University of California Press.
-
(1967)
Proceedings of the Fifth Berkeley Symposium on Mathematical Statistics and Probability
, vol.2
, Issue.2 PART
, pp. 9-16
-
-
Breiman, L.1
-
8
-
-
21144470697
-
Pricing interest rate options in a two-factor Cox-Ingersoll-Ross model of the term structure
-
Chen, R. and Scott, L. (1992) Pricing interest rate options in a two-factor Cox-Ingersoll-Ross model of the term structure. Rev. Financial Stud., 5, 613-636.
-
(1992)
Rev. Financial Stud.
, vol.5
, pp. 613-636
-
-
Chen, R.1
Scott, L.2
-
9
-
-
2442578479
-
Some combinations of Asian, Parisian and barrier options
-
M.A.H. Dempster and S.R. Pliska (eds), Publ. Newton Inst. Cambridge: Cambridge University Press
-
Chesney, M., Geman, H., Jeanblanc-Picqué, M. and Yor, M. (1997) Some combinations of Asian, Parisian and barrier options. In M.A.H. Dempster and S.R. Pliska (eds), Mathematics of Derivative Securities, Publ. Newton Inst. Cambridge: Cambridge University Press.
-
(1997)
Mathematics of Derivative Securities
-
-
Chesney, M.1
Geman, H.2
Jeanblanc-Picqué, M.3
Yor, M.4
-
10
-
-
0001205798
-
A theory of the term structure of interest rates
-
Cox, J.C., Ingersoll, J.E. Jr. and Ross, S.A. (1985) A theory of the term structure of interest rates. Econometrica, 53, 385-407.
-
(1985)
Econometrica
, vol.53
, pp. 385-407
-
-
Cox, J.C.1
Ingersoll Jr., J.E.2
Ross, S.A.3
-
11
-
-
0000764340
-
The Laplace transform of certain annuities with exponential time distribution
-
De Schepper, Goovaerts, M., and Delbaen, F. (1992) The Laplace transform of certain annuities with exponential time distribution. Insurance Math. Econom., 11, 291-294.
-
(1992)
Insurance Math. Econom.
, vol.11
, pp. 291-294
-
-
De Schepper1
Goovaerts, M.2
Delbaen, F.3
-
13
-
-
84986857916
-
Consols in the CIR model
-
Delbaen, F. (1993) Consols in the CIR model. Math. Finance, 3, 125-134.
-
(1993)
Math. Finance
, vol.3
, pp. 125-134
-
-
Delbaen, F.1
-
14
-
-
42449152831
-
A note of option pricing for constant elasticity of variance model
-
To appear
-
Delbaen, F. and Shirakawa, H. (2003) A note of option pricing for constant elasticity of variance model. Asia-Pacific Financial Markets. To appear.
-
(2003)
Asia-Pacific Financial Markets
-
-
Delbaen, F.1
Shirakawa, H.2
-
15
-
-
0004217806
-
-
Probabilités et Potentiel: Chapitres XVII À XXIV, Paris: Hermann
-
Dellacherie, C., Maisonneuve, B. and Meyer, P.-A. (1992) Probabilités et Potentiel, Vol. 5: Chapitres XVII à XXIV: Processus de Markov (fin); Compléments de Calcul Stochastique. Paris: Hermann.
-
(1992)
Processus de Markov (Fin); Compléments de Calcul Stochastique
, vol.5
-
-
Dellacherie, C.1
Maisonneuve, B.2
Meyer, P.-A.3
-
18
-
-
84864849879
-
The distribution of a perpetuity, with applications to risk theory and pension funding
-
Dufresne, D. (1990) The distribution of a perpetuity, with applications to risk theory and pension funding. Scand. Actuar. J., 39-79.
-
(1990)
Scand. Actuar. J.
, pp. 39-79
-
-
Dufresne, D.1
-
19
-
-
0011588718
-
Un théorème de Ray-Knight relatif au supremum des temps locaux browniens
-
Eisenbaum, N. (1990) Un théorème de Ray-Knight relatif au supremum des temps locaux browniens. Probab. Theory Related Fields, 87, 79-95.
-
(1990)
Probab. Theory Related Fields
, vol.87
, pp. 79-95
-
-
Eisenbaum, N.1
-
20
-
-
0033484276
-
The importance of strictly local martingales: Applications to radial Ornstein-Uhlenbeck processes
-
Elworthy, K.D., Li, X.M. and Yor, M. (1999) The importance of strictly local martingales: Applications to radial Ornstein-Uhlenbeck processes. Probab. Theory Related Fields, 115, 325-356.
-
(1999)
Probab. Theory Related Fields
, vol.115
, pp. 325-356
-
-
Elworthy, K.D.1
Li, X.M.2
Yor, M.3
-
21
-
-
0033229203
-
Canonical decomposition of linear transformations of two independent Brownian motions
-
Föllmer, H., Wu, C.T. and Yor, M. (1999) Canonical decomposition of linear transformations of two independent Brownian motions. Stochastic Process. Appl., 84, 137-164.
-
(1999)
Stochastic Process. Appl.
, vol.84
, pp. 137-164
-
-
Föllmer, H.1
Wu, C.T.2
Yor, M.3
-
22
-
-
84986749970
-
Asymptotic inference for the parameters of a discrete-time square-root process
-
Frydman, H. (1994) Asymptotic inference for the parameters of a discrete-time square-root process. Math. Finance, 4, 169-181.
-
(1994)
Math. Finance
, vol.4
, pp. 169-181
-
-
Frydman, H.1
-
23
-
-
84986786403
-
Bessel processes, Asian options, and perpetuities
-
Geman, H. and Yor, M. (1993) Bessel processes, Asian options, and perpetuities. Math. Finance, 3, 349-375.
-
(1993)
Math. Finance
, vol.3
, pp. 349-375
-
-
Geman, H.1
Yor, M.2
-
24
-
-
38249003514
-
Variations on economic uncertainty and risk premiums on capital assets
-
Genotte, G. and Marsh, T.A. (1993) Variations on economic uncertainty and risk premiums on capital assets. European Economic Rev., 37, 1021-1041.
-
(1993)
European Economic Rev.
, vol.37
, pp. 1021-1041
-
-
Genotte, G.1
Marsh, T.A.2
-
25
-
-
0001186590
-
The Brownian escape process
-
Getoor, R.K. (1979) The Brownian escape process. Ann. Probab., 7, 864-867.
-
(1979)
Ann. Probab.
, vol.7
, pp. 864-867
-
-
Getoor, R.K.1
-
27
-
-
1842665902
-
A clarification about hitting times densities for Ornstein-Uhlenbeck processes
-
Göing-Jaeschke, A. and Yor, M. (2003) A clarification about hitting times densities for Ornstein-Uhlenbeck processes. Finance Stochastics, 7, 413-415.
-
(2003)
Finance Stochastics
, vol.7
, pp. 413-415
-
-
Göing-Jaeschke, A.1
Yor, M.2
-
28
-
-
0141866990
-
Statistics of local time and excursions for the Ornstein-Uhlenbeck process
-
M.T. Barlow and N.H. Bingham (eds), London Math. Soc. Lecture Note Ser. 167, Cambridge: Cambridge University Press
-
Hawkes, J. and Truman, A. (1991) Statistics of local time and excursions for the Ornstein-Uhlenbeck process. In M.T. Barlow and N.H. Bingham (eds), Stochastic Analysis, London Math. Soc. Lecture Note Ser. 167, pp. 91-102. Cambridge: Cambridge University Press.
-
(1991)
Stochastic Analysis
, pp. 91-102
-
-
Hawkes, J.1
Truman, A.2
-
29
-
-
0037836721
-
A closed-form solution for options with stochastic volatility, with applications to bond and currency options
-
Heston, S.L. (1993) A closed-form solution for options with stochastic volatility, with applications to bond and currency options. Rev. Financial Stud., 6, 327-343.
-
(1993)
Rev. Financial Stud.
, vol.6
, pp. 327-343
-
-
Heston, S.L.1
-
32
-
-
0142158322
-
Examples of multivariate diffusions: Time-reversibility; a Cox-Ingersoll-Ross type process
-
MaPhySto, Centre for Mathematical Physics and Stochastics, University of Aarhus
-
Jacobsen, M. (2001) Examples of multivariate diffusions: time-reversibility; a Cox-Ingersoll-Ross type process. Working paper, MaPhySto, Centre for Mathematical Physics and Stochastics, University of Aarhus.
-
(2001)
Working Paper
-
-
Jacobsen, M.1
-
34
-
-
0001251792
-
Some probabilistic properties of Bessel functions
-
Kent, J. (1978a) Some probabilistic properties of Bessel functions. Ann. Probab., 6, 760-770.
-
(1978)
Ann. Probab.
, vol.6
, pp. 760-770
-
-
Kent, J.1
-
35
-
-
0001306694
-
Time-reversible diffusions
-
Kent, J. (1978b) Time-reversible diffusions. Adv. Appl. Probab., 10, 819-835.
-
(1978)
Adv. Appl. Probab.
, vol.10
, pp. 819-835
-
-
Kent, J.1
-
38
-
-
0001966399
-
Une approche unifiée pour une forme exacte du prix d'une option dans les différents modèles à volatilité stochastique
-
Leblanc, B. (1996) Une approche unifiée pour une forme exacte du prix d'une option dans les différents modèles à volatilité stochastique. Stochastics Stochastics Rep., 57(1-2), 1-35.
-
(1996)
Stochastics Stochastics Rep.
, vol.57
, Issue.1-2
, pp. 1-35
-
-
Leblanc, B.1
-
40
-
-
0345402623
-
Path dependent options on yields in the affine term structure model
-
Leblanc, B. and Scaillet, O. (1998) Path dependent options on yields in the affine term structure model. Finance Stochastics, 2, 349-367.
-
(1998)
Finance Stochastics
, vol.2
, pp. 349-367
-
-
Leblanc, B.1
Scaillet, O.2
-
41
-
-
1842816712
-
A correction note on the first passage time of an Ornstein-Uhlenbeck process to a boundary
-
Leblanc, B., Renault, O. and Scaillet, O. (2000) A correction note on the first passage time of an Ornstein-Uhlenbeck process to a boundary. Finance Stochastics, 4, 109-111.
-
(2000)
Finance Stochastics
, vol.4
, pp. 109-111
-
-
Leblanc, B.1
Renault, O.2
Scaillet, O.3
-
42
-
-
0040645182
-
A direct proof of the Ray-Knight theorem
-
J. Azéma and M. Yor (eds), Lecture Notes in Math. 850, Berlin: Springer-Verlag
-
McGill, P. (1981) A direct proof of the Ray-Knight theorem. In J. Azéma and M. Yor (eds), Séminaire de Probabilités XV, Lecture Notes in Math. 850, pp. 206-209. Berlin: Springer-Verlag.
-
(1981)
Séminaire de Probabilités XV
, pp. 206-209
-
-
McGill, P.1
-
44
-
-
33747348631
-
Random times and decomposition theorems
-
J.L. Doob (ed.) Proc. Sympos. Pure Math. 31. Providence, RI: American Mathematical Society
-
Millar, P.W. (1977) Random times and decomposition theorems. In J.L. Doob (ed.), Probability, Proc. Sympos. Pure Math. 31, pp. 91-103. Providence, RI: American Mathematical Society.
-
(1977)
Probability
, pp. 91-103
-
-
Millar, P.W.1
-
45
-
-
84972529361
-
Time reversion of Markov processes
-
Nagasawa, M. (1964) Time reversion of Markov processes. Nagoya Math. J., 24, 177-204.
-
(1964)
Nagoya Math. J.
, vol.24
, pp. 177-204
-
-
Nagasawa, M.1
-
47
-
-
0022080254
-
A note on first-passage-time problems
-
Nobile, A.G., Ricciardi, L.M. and Sacerdote, L. (1985) A note on first-passage-time problems. J. Appl. Probab., 22, 346-359.
-
(1985)
J. Appl. Probab.
, vol.22
, pp. 346-359
-
-
Nobile, A.G.1
Ricciardi, L.M.2
Sacerdote, L.3
-
48
-
-
0038828651
-
A martingale approach to first passage problems and a new condition for Wald's identity
-
M. Arato, D. Vermes and A.V. Balakrishnan (eds), Lecture Notes in Control and Inform. Sci. 36, Berlin: Springer-Verlag
-
Novikov, A.A. (1981) A martingale approach to first passage problems and a new condition for Wald's identity. In M. Arato, D. Vermes and A.V. Balakrishnan (eds), Stochastic Differential Systems, Lecture Notes in Control and Inform. Sci. 36, pp. 146-156. Berlin: Springer-Verlag.
-
(1981)
Stochastic Differential Systems
, pp. 146-156
-
-
Novikov, A.A.1
-
49
-
-
14844357674
-
A martingale approach in problems on first crossing time of nonlinear boundaries
-
Novikov, A.A. (1983) A martingale approach in problems on first crossing time of nonlinear boundaries. Proc. Steklov Inst. Math, 4, 141-163.
-
(1983)
Proc. Steklov Inst. Math
, vol.4
, pp. 141-163
-
-
Novikov, A.A.1
-
50
-
-
0007202362
-
Limit theorems for the first passage time of autoregression process over a level
-
Novikov, A.A. (1994) Limit theorems for the first passage time of autoregression process over a level. Proc. Steklov Inst. Math., 4, 169-186.
-
(1994)
Proc. Steklov Inst. Math.
, vol.4
, pp. 169-186
-
-
Novikov, A.A.1
-
52
-
-
0001452295
-
Bessel processes and infinitely divisible laws
-
D. Williams (ed.), Lecture Notes in Math. 851, Berlin: Springer-Verlag
-
Pitman, J. and Yor, M. (1980) Bessel processes and infinitely divisible laws. In D. Williams (ed.), Stochastic Integrals, Lecture Notes in Math. 851, pp. 285-370. Berlin: Springer-Verlag.
-
(1980)
Stochastic Integrals
, pp. 285-370
-
-
Pitman, J.1
Yor, M.2
-
54
-
-
0009410945
-
Sur une décomposition des ponts de Bessel
-
M. Fukushima (ed.), Lecture Notes in Math. 923, Berlin: Springer-Verlag
-
Pitman, J. and Yor, M. (1982b) Sur une décomposition des ponts de Bessel. In M. Fukushima (ed.), Functional Analysis in Markov Processes, Lecture Notes in Math. 923, pp. 276-285. Berlin: Springer-Verlag.
-
(1982)
Functional Analysis in Markov Processes
, pp. 276-285
-
-
Pitman, J.1
Yor, M.2
-
55
-
-
0007433243
-
Laplace transforms related to excursions of a one-dimensional diffusion
-
Pitman, J. and Yor, M. (1999) Laplace transforms related to excursions of a one-dimensional diffusion. Bernoulli, 5, 249-255.
-
(1999)
Bernoulli
, vol.5
, pp. 249-255
-
-
Pitman, J.1
Yor, M.2
-
56
-
-
21244501196
-
Hitting, occupation, and inverse local times of one-dimensional diffusions: Martingale and excursion approaches
-
Pitman, J. and Yor, M. (2003) Hitting, occupation, and inverse local times of one-dimensional diffusions: martingale and excursion approaches. Bernoulli, 9, 1-24.
-
(2003)
Bernoulli
, vol.9
, pp. 1-24
-
-
Pitman, J.1
Yor, M.2
-
57
-
-
0001677581
-
A diffusion process and its applications to detecting a change in the drift of Brownian motion
-
Pollack, M. and Siegmund, D. (1985) A diffusion process and its applications to detecting a change in the drift of Brownian motion. Biometrika, 72, 267-280.
-
(1985)
Biometrika
, vol.72
, pp. 267-280
-
-
Pollack, M.1
Siegmund, D.2
-
59
-
-
0000711915
-
First-passage time density and moments of the Ornstein-Uhlenbeck process
-
Ricciardi, L.M. and Sato, S. (1988) First-passage time density and moments of the Ornstein-Uhlenbeck process. J. Appl. Probab., 25, 43-57.
-
(1988)
J. Appl. Probab.
, vol.25
, pp. 43-57
-
-
Ricciardi, L.M.1
Sato, S.2
-
60
-
-
0040699301
-
Characterizing all diffusions with the 2M - X property
-
Rogers, L.C.G. (1981) Characterizing all diffusions with the 2M - X property. Ann. Probab., 9, 561-572.
-
(1981)
Ann. Probab.
, vol.9
, pp. 561-572
-
-
Rogers, L.C.G.1
-
61
-
-
0001364639
-
On the first hitting time and the last exit time for a Brownian motion to/from a moving boundary
-
Salminen, P. (1988) On the first hitting time and the last exit time for a Brownian motion to/from a moving boundary. Adv. in Appl. Probab., 20, 411-426.
-
(1988)
Adv. in Appl. Probab.
, vol.20
, pp. 411-426
-
-
Salminen, P.1
-
62
-
-
0001680337
-
Some transformations of diffusions by time reversal
-
Sharpe, M.J. (1980) Some transformations of diffusions by time reversal. Ann. Probab., 8, 1157-1162.
-
(1980)
Ann. Probab.
, vol.8
, pp. 1157-1162
-
-
Sharpe, M.J.1
-
63
-
-
0001599563
-
First passage problem for the Wiener process
-
Shepp, L. (1967) First passage problem for the Wiener process. Ann. Math. Statist., 38, 1912-1914.
-
(1967)
Ann. Math. Statist.
, vol.38
, pp. 1912-1914
-
-
Shepp, L.1
-
64
-
-
0002115073
-
Bessel diffusions as a one-parameter family of diffusion processes
-
Shiga, T. and Watanabe, S. (1973) Bessel diffusions as a one-parameter family of diffusion processes. Z. Wahrscheinlichkeitstheorie Verw. Geb., 27, 37-46.
-
(1973)
Z. Wahrscheinlichkeitstheorie Verw. Geb.
, vol.27
, pp. 37-46
-
-
Shiga, T.1
Watanabe, S.2
-
65
-
-
33747342357
-
Squared Bessel processes and their applications to the square root interest rate model
-
To appear
-
Shirakawa, H. (2003) Squared Bessel processes and their applications to the square root interest rate model. Asia-Pacific Financial Markets. To appear.
-
(2003)
Asia-Pacific Financial Markets
-
-
Shirakawa, H.1
-
66
-
-
36149019489
-
On the first passage time probability problem
-
Siegert, A.J.F. (1951) On the first passage time probability problem. Phys. Rev., 81, 617-623.
-
(1951)
Phys. Rev.
, vol.81
, pp. 617-623
-
-
Siegert, A.J.F.1
-
68
-
-
33747350704
-
Excursion measures for one-dimensional time-homogeneous diffusions with inaccessible and accessible boundaries
-
NATO Adv. Sci. Inst. Ser. C. Math. Phys. Sci. Kluwer Acad. Publ.
-
Truman, A. (1994) Excursion measures for one-dimensional time-homogeneous diffusions with inaccessible and accessible boundaries. In Stoch. Anal. and App. in Physics, 441-454, NATO Adv. Sci. Inst. Ser. C. Math. Phys. Sci. Kluwer Acad. Publ.
-
(1994)
Stoch. Anal. and App. in Physics
, pp. 441-454
-
-
Truman, A.1
-
69
-
-
33747373785
-
A generalised arc-sine law and Nelson's stochastic mechanics of one-dimensional time-homogeneous diffusions
-
M.A. Pinsky (ed.) Progr. Probab. 22, Boston: Birkhäuser
-
Truman, A. and Williams, D. (1990) A generalised arc-sine law and Nelson's stochastic mechanics of one-dimensional time-homogeneous diffusions. In M.A. Pinsky (ed.), Diffusion Processes and Related Problems in Analysis, Vol. 1, Progr. Probab. 22, pp. 117-135. Boston: Birkhäuser.
-
(1990)
Diffusion Processes and Related Problems in Analysis, Vol. 1
, vol.1
, pp. 117-135
-
-
Truman, A.1
Williams, D.2
-
70
-
-
0141643470
-
Schrödinger operators and asymptotics for Poisson-Lévy excursion measures for one-dimensional time-homogeneous diffusions
-
M.C. Cranston and M.A. Pinsky (eds), Proc. Sympos. Pure Math. 57, Providence, RI: American Mathematical Society
-
Truman, A., Williams, D. and Yu, K.Y. (1995) Schrödinger operators and asymptotics for Poisson-Lévy excursion measures for one-dimensional time-homogeneous diffusions. In M.C. Cranston and M.A. Pinsky (eds), Stochastic Analysis, Proc. Sympos. Pure Math. 57, pp. 145-156, Providence, RI: American Mathematical Society.
-
(1995)
Stochastic Analysis
, pp. 145-156
-
-
Truman, A.1
Williams, D.2
Yu, K.Y.3
-
72
-
-
33749017547
-
Path decomposition and continuity of local time for one-dimensional diffusions, I
-
Williams, D. (1974) Path decomposition and continuity of local time for one-dimensional diffusions, I. Proc. London Math. Soc. (3), 28, 738-768.
-
(1974)
Proc. London Math. Soc. (3)
, vol.28
, pp. 738-768
-
-
Williams, D.1
-
73
-
-
0039941060
-
On square-root boundaries for Bessel processes and pole-seeking Brownian motion
-
A. Truman and D. Williams (eds), Lecture Notes in Math. 1095, Berlin: Springer-Verlag
-
Yor, M. (1984) On square-root boundaries for Bessel processes and pole-seeking Brownian motion. In A. Truman and D. Williams (eds), Stochastic Analysis and Applications, Lecture Notes in Math. 1095, pp. 100-107. Berlin: Springer-Verlag.
-
(1984)
Stochastic Analysis and Applications
, pp. 100-107
-
-
Yor, M.1
-
75
-
-
0000300111
-
Sur certaines fonctionnelles exponentielles du mouvement Brownien réel
-
Yor, M. (1992b) Sur certaines fonctionnelles exponentielles du mouvement Brownien réel. J. Appl. Probab., 29, 202-208.
-
(1992)
J. Appl. Probab.
, vol.29
, pp. 202-208
-
-
Yor, M.1
-
76
-
-
33747369403
-
-
Local Times and Excursions for Brownian Motion: A Concise Introduction, Caracas: Universidad Central de Venezuela
-
Yor, M. (1995) Local Times and Excursions for Brownian Motion: A Concise Introduction, Volume 1 of Lecciones en Matemáticas. Caracas: Universidad Central de Venezuela.
-
(1995)
Lecciones en Matemáticas
, vol.1
-
-
Yor, M.1
|