-
1
-
-
12944275467
-
On the first crossing times of a Brownian motion and a family of continuous curves
-
Alili, L., Patie, P.: On the first crossing times of a Brownian motion and a family of continuous curves. C. R. Math. Acad. Sci. Paris 340(3), 225-228 (2005).
-
(2005)
C. R. Math. Acad. Sci. Paris
, vol.340
, Issue.3
, pp. 225-228
-
-
Alili, L.1
Patie, P.2
-
2
-
-
33644971385
-
Representations of the first hitting time density of an Ornstein-Uhlenbeck process
-
Alili, L., Patie, P., Pedersen, J. L.: Representations of the first hitting time density of an Ornstein-Uhlenbeck process. Stoch. Models 21(4), 967-980 (2005).
-
(2005)
Stoch. Models
, vol.21
, Issue.4
, pp. 967-980
-
-
Alili, L.1
Patie, P.2
Pedersen, J.L.3
-
3
-
-
0031488996
-
Large time asymptotics for Brownian hitting densities of transient concave curves
-
Anderson, J. M., Pitt, L. D.: Large time asymptotics for Brownian hitting densities of transient concave curves. J. Theor. Probab. 10(4), 921-934 (1997).
-
(1997)
J. Theor. Probab.
, vol.10
, Issue.4
, pp. 921-934
-
-
Anderson, J.M.1
Pitt, L.D.2
-
4
-
-
75749123628
-
Probabilités des oscillations maxima
-
Bachelier, L.: Probabilités des oscillations maxima. C. R. Acad. Sci. Paris 212, 836-838 (1941).
-
(1941)
C. R. Acad. Sci. Paris
, vol.212
, pp. 836-838
-
-
Bachelier, L.1
-
5
-
-
24944497915
-
Hedging of defaultable claims
-
Lecture Notes in Math, Berlin: Springer
-
Bielecki, T. R., Jeanblanc, M., Rutkowski, M.: Hedging of defaultable claims. In: Paris-Princeton Lectures on Mathematical Finance 2003. Lecture Notes in Math., vol. 1847, pp. 1-132. Springer, Berlin (2004).
-
(2004)
Paris-Princeton Lectures on Mathematical Finance 2003
, vol.1847
, pp. 1-132
-
-
Bielecki, T.R.1
Jeanblanc, M.2
Rutkowski, M.3
-
7
-
-
18444400263
-
Explicit bounds for approximation rates of boundary crossing probabilities for the Wiener process
-
Borovkov, K., Novikov, A. A.: Explicit bounds for approximation rates of boundary crossing probabilities for the Wiener process. J. Appl. Probab. 42(1), 82-92 (2005).
-
(2005)
J. Appl. Probab.
, vol.42
, Issue.1
, pp. 82-92
-
-
Borovkov, K.1
Novikov, A.A.2
-
8
-
-
0002181147
-
First exit times from a square root boundary
-
Berkeley, Calif.1965/1966. Contributions to Probability Theory, Part 2, Berkeley: University of California Press
-
Breiman, L.: First exit times from a square root boundary. In: Proc. Fifth Berkeley Sympos. Math. Statist. and Probability, Berkeley, Calif., 1965/1966. Contributions to Probability Theory, Part 2, vol. II, pp. 9-16. University of California Press, Berkeley (1967).
-
(1967)
Proc. Fifth Berkeley Sympos. Math. Statist. And Probability
, vol.II
, pp. 9-16
-
-
Breiman, L.1
-
9
-
-
0001456827
-
The minimum of a stationary Markov process superimposed on a U-shaped trend
-
Daniels, H. E.: The minimum of a stationary Markov process superimposed on a U-shaped trend. J. App. Probab. 6, 399-408 (1969).
-
(1969)
J. App. Probab.
, vol.6
, pp. 399-408
-
-
Daniels, H.E.1
-
10
-
-
84963160141
-
Crossing probabilities for a square root boundary for a Bessel process
-
Delong, D. M.: Crossing probabilities for a square root boundary for a Bessel process. Commun. Stat. A, Theory Methods 10(21), 2197-2213 (1981).
-
(1981)
Commun. Stat. A, Theory Methods
, vol.10
, Issue.21
, pp. 2197-2213
-
-
Delong, D.M.1
-
11
-
-
0022023075
-
The first-passage density of a continuous Gaussian process to a general boundary
-
Durbin, J.: The first-passage density of a continuous Gaussian process to a general boundary. J. Appl. Probab. 22, 99-122 (1985).
-
(1985)
J. Appl. Probab.
, vol.22
, pp. 99-122
-
-
Durbin, J.1
-
12
-
-
33749618247
-
A reconciliation of two different expressions for the first-passage density of Brownian motion to a curved boundary
-
Durbin, J.: A reconciliation of two different expressions for the first-passage density of Brownian motion to a curved boundary. J. Appl. Probab. 25(4), 829-832 (1988).
-
(1988)
J. Appl. Probab.
, vol.25
, Issue.4
, pp. 829-832
-
-
Durbin, J.1
-
13
-
-
0001235674
-
On the law of the iterated logarithm
-
Erdös, P.: On the law of the iterated logarithm. Ann. Math. 43(2), 419-436 (1942).
-
(1942)
Ann. Math.
, vol.43
, Issue.2
, pp. 419-436
-
-
Erdös, P.1
-
14
-
-
0004470991
-
An asymptotic expansion for one-sided Brownian densities
-
Ferebee, B.: An asymptotic expansion for one-sided Brownian densities. Z. Wahrscheinlichkeitstheor. Verw. Geb. 63(1), 1-15 (1983).
-
(1983)
Z. Wahrscheinlichkeitstheor. Verw. Geb.
, vol.63
, Issue.1
, pp. 1-15
-
-
Ferebee, B.1
-
15
-
-
0002137181
-
Markov processes with identical bridges
-
(electronic)
-
Fitzsimmons, P. J.: Markov processes with identical bridges. Electron. J. Probab. 3(12), 12 (1998) (electronic).
-
(1998)
Electron. J. Probab.
, vol.3
, Issue.12
, pp. 12
-
-
Fitzsimmons, P.J.1
-
16
-
-
0002247394
-
Markovian bridges: Construction, Palm interpretation, and splicing
-
Seattle, WA, 1992. Progr. Probab, Cambridge: Birkhäuser Boston
-
Fitzsimmons, P. J., Pitman, J., Yor, M.: Markovian bridges: construction, Palm interpretation, and splicing. In: Seminar on Stochastic Processes, 1992, Seattle, WA, 1992. Progr. Probab., vol. 33, pp. 101-134. Birkhäuser Boston, Cambridge (1993).
-
(1993)
Seminar on Stochastic Processes, 1992
, vol.33
, pp. 101-134
-
-
Fitzsimmons, P.J.1
Pitman, J.2
Yor, M.3
-
17
-
-
17444421579
-
Some new examples of Markov processes which enjoy the time-inversion property
-
Gallardo, L., Yor, M.: Some new examples of Markov processes which enjoy the time-inversion property. Probab. Theory Relat. Fields 132(1), 150-162 (2005).
-
(2005)
Probab. Theory Relat. Fields
, vol.132
, Issue.1
, pp. 150-162
-
-
Gallardo, L.1
Yor, M.2
-
18
-
-
0002641355
-
Brownian motion with a parabolic drift and Airy functions
-
Groeneboom, P.: Brownian motion with a parabolic drift and Airy functions. Probab. Theory Relat. Fields 81(1), 79-109 (1989).
-
(1989)
Probab. Theory Relat. Fields
, vol.81
, Issue.1
, pp. 79-109
-
-
Groeneboom, P.1
-
21
-
-
0542399424
-
Eigenvalue expansions for diffusion hitting times
-
Kent, J. T.: Eigenvalue expansions for diffusion hitting times. Z. Wahrscheinlichkeitstheor. Verw. Geb. 52, 309-319 (1980).
-
(1980)
Z. Wahrscheinlichkeitstheor. Verw. Geb.
, vol.52
, pp. 309-319
-
-
Kent, J.T.1
-
22
-
-
0035796609
-
The Ornstein-Uhlenbeck neuronal model with signal dependent noise
-
Lánský, P., Sacerdote, L.: The Ornstein-Uhlenbeck neuronal model with signal dependent noise. Phys. Lett. A 285(3-4), 132-140 (2001).
-
(2001)
Phys. Lett. A
, vol.285
, Issue.3-4
, pp. 132-140
-
-
Lánský, P.1
Sacerdote, L.2
-
23
-
-
38349087228
-
Towards a characterization of Markov processes enjoying the time-inversion property
-
Lawi, S.: Towards a characterization of Markov processes enjoying the time-inversion property. J. Theor. Probab. 21(1), 144-168 (2008).
-
(2008)
J. Theor. Probab.
, vol.21
, Issue.1
, pp. 144-168
-
-
Lawi, S.1
-
26
-
-
75749107202
-
Probabilistic deformation of contact geometry, diffusion processes and their quadratures
-
Progr. Probab, Basel: Birkhäuser
-
Lescot, P., Zambrini, J.-C.: Probabilistic deformation of contact geometry, diffusion processes and their quadratures. In: Seminar on Stochastic Analysis, Random Fields and Applications V. Progr. Probab., vol. 59, pp. 203-226. Birkhäuser, Basel (2008).
-
(2008)
Seminar on Stochastic Analysis, Random Fields and Applications V
, vol.59
, pp. 203-226
-
-
Lescot, P.1
Zambrini, J.-C.2
-
27
-
-
0032259304
-
The final size of a nearly critical epidemic, and the first passage time of a Wiener process to a parabolic barrier
-
Martin-Löf, A.: The final size of a nearly critical epidemic, and the first passage time of a Wiener process to a parabolic barrier. J. Appl. Probab. 35, 671-682 (1998).
-
(1998)
J. Appl. Probab.
, vol.35
, pp. 671-682
-
-
Martin-Löf, A.1
-
28
-
-
0009043167
-
The stopping times of a Wiener process
-
Novikov, A. A.: The stopping times of a Wiener process. Teor. Veroyatn. i Primen. 16, 458-465 (1971).
-
(1971)
Teor. Veroyatn. I Primen.
, vol.16
, pp. 458-465
-
-
Novikov, A.A.1
-
29
-
-
0010555786
-
The stopping times of a Wiener process
-
Translation in
-
Translation in Theory Probab. Appl. 16, 449-456 (1971).
-
(1971)
Theory Probab. Appl.
, vol.16
, pp. 449-456
-
-
Novikov, A.A.1
-
31
-
-
62849126060
-
Q-invariant functions associated to some generalizations of the Ornstein-Uhlenbeck semigroup
-
Patie, P.: q-invariant functions associated to some generalizations of the Ornstein-Uhlenbeck semigroup. ALEA Lat. Am. J. Probab. Math. Stat. 4, 31-43 (2008).
-
(2008)
ALEA Lat. Am. J. Probab. Math. Stat.
, vol.4
, pp. 31-43
-
-
Patie, P.1
-
32
-
-
0036026170
-
Limit at zero of the Brownian first-passage density
-
Peskir, G.: Limit at zero of the Brownian first-passage density. Probab. Theory Relat. Fields 124(1), 100-111 (2002).
-
(2002)
Probab. Theory Relat. Fields
, vol.124
, Issue.1
, pp. 100-111
-
-
Peskir, G.1
-
33
-
-
14544278363
-
On integral equations arising in the first-passage problem for Brownian motion
-
Peskir, G.: On integral equations arising in the first-passage problem for Brownian motion. J. Integr. Equ. Appl. 14(4), 397-423 (2002).
-
(2002)
J. Integr. Equ. Appl.
, vol.14
, Issue.4
, pp. 397-423
-
-
Peskir, G.1
-
34
-
-
0001452295
-
Bessel processes and infinitely divisible laws
-
Proc. Sympos., Univ. Durham, Durham, 1980. Lecture Notes in Math, Berlin: Springer
-
Pitman, J., Yor, M.: Bessel processes and infinitely divisible laws. In: Stochastic Integrals, Proc. Sympos., Univ. Durham, Durham, 1980. Lecture Notes in Math., vol. 851, pp. 285-370. Springer, Berlin (1981).
-
(1981)
Stochastic Integrals
, vol.851
, pp. 285-370
-
-
Pitman, J.1
Yor, M.2
-
35
-
-
0035533786
-
Boundary crossing probability for Brownian motion
-
Pötzelberger, K., Wang, L.: Boundary crossing probability for Brownian motion. J. Appl. Probab. 38, 152-164 (2001).
-
(2001)
J. Appl. Probab.
, vol.38
, pp. 152-164
-
-
Pötzelberger, K.1
Wang, L.2
-
36
-
-
0003543379
-
-
3rd edn., Berlin, Heidelberg: Springer
-
Revuz, D., Yor, M.: Continuous Martingales and Brownian Motion, 3rd edn., vol. 293. Springer, Berlin, Heidelberg (1999).
-
(1999)
Continuous Martingales and Brownian Motion
, vol.293
-
-
Revuz, D.1
Yor, M.2
-
37
-
-
0039147560
-
Boundary crossing probabilities for the Wiener process and sample sums
-
Robbins, H., Siegmund, D.: Boundary crossing probabilities for the Wiener process and sample sums. Ann. Math. Stat. 41, 1410-1429 (1970).
-
(1970)
Ann. Math. Stat.
, vol.41
, pp. 1410-1429
-
-
Robbins, H.1
Siegmund, D.2
-
38
-
-
0001364639
-
On the first hitting time and the last exit time for a Brownian motion to/from a moving boundary
-
Salminen, P.: On the first hitting time and the last exit time for a Brownian motion to/from a moving boundary. Adv. Appl. Probab. 20(2), 411-426 (1988).
-
(1988)
Adv. Appl. Probab.
, vol.20
, Issue.2
, pp. 411-426
-
-
Salminen, P.1
-
39
-
-
0002115073
-
Bessel diffusions as a one-parameter family of diffusion processes
-
Shiga, T., Watanabe, S.: Bessel diffusions as a one-parameter family of diffusion processes. Z. Wahrscheinlichkeitstheor. Verw. Geb. 27, 37-46 (1973).
-
(1973)
Z. Wahrscheinlichkeitstheor. Verw. Geb.
, vol.27
, pp. 37-46
-
-
Shiga, T.1
Watanabe, S.2
-
40
-
-
0000571608
-
Almost sure behavior of sums of independent random variables and martingales
-
(Berkeley 1965/66)
-
Strassen, V.: Almost sure behavior of sums of independent random variables and martingales. In: Proc. Fifth Berkeley Symp. Math. Statis. Prob. (Berkeley 1965/66), vol. II (1967).
-
(1967)
Proc. Fifth Berkeley Symp. Math. Statis. Prob.
, vol.II
-
-
Strassen, V.1
-
41
-
-
0001328881
-
On time inversion of one-dimensional diffusion processes
-
Watanabe, S.: On time inversion of one-dimensional diffusion processes. Z. Wahrscheinlichkeitstheor. Verw. Geb. 31, 115-124 (1974/75).
-
(1974)
Z. Wahrscheinlichkeitstheor. Verw. Geb.
, vol.31
, pp. 115-124
-
-
Watanabe, S.1
-
42
-
-
0039941060
-
On square-root boundaries for Bessel processes and pole seeking Brownian motion
-
Swansea, 1983. Lecture Notes in Mathematics, Berlin: Springer
-
Yor, M.: On square-root boundaries for Bessel processes and pole seeking Brownian motion. In: Stochastic Analysis and Applications, Swansea, 1983. Lecture Notes in Mathematics, vol. 1095, pp. 100-107. Springer, Berlin (1984).
-
(1984)
Stochastic Analysis and Applications
, vol.1095
, pp. 100-107
-
-
Yor, M.1
|