메뉴 건너뛰기




Volumn 41, Issue 1, 2004, Pages 93-100

On distributions associated with the generalized Lévy's stochastic area formula

Author keywords

Bessel process; Density distribution functions; Laplace inversion; Parabolic cylinder functions

Indexed keywords


EID: 3042522448     PISSN: 00816906     EISSN: None     Source Type: Journal    
DOI: 10.1556/SScMath.41.2004.1.5     Document Type: Article
Times cited : (4)

References (16)
  • 1
    • 0040915358 scopus 로고
    • The joint density of two functional of Brownian motion
    • MR 97c:60200a
    • ABADIR, K. M., The joint density of two functional of Brownian motion, Math. Methods of Statist. 4 (1995), 449-462. MR 97c:60200a
    • (1995) Math. Methods of Statist. , vol.4 , pp. 449-462
    • Abadir, K.M.1
  • 2
    • 3042649878 scopus 로고    scopus 로고
    • Correction: The joint density of two functionals of a Brownian motion
    • MR 97c:60200b
    • ABADIR, K. M., Correction: The joint density of two functionals of a Brownian motion, Math. Methods of Statist. 5 (1996), 124. MR 97c:60200b
    • (1996) Math. Methods of Statist. , vol.5 , pp. 124
    • Abadir, K.M.1
  • 3
    • 0035599225 scopus 로고    scopus 로고
    • Probability laws related to the Jacobi theta and Riemann zeta functions, and Brownian excursions
    • MR 2003b:11083
    • BIANE, PH., PITMAN, J. and YOR, M., Probability laws related to the Jacobi theta and Riemann zeta functions, and Brownian excursions, Bull. Amer. Math. Soc. (N.S.) 38 (2001), 435-465. MR 2003b:11083
    • (2001) Bull. Amer. Math. Soc. (N.S.) , vol.38 , pp. 435-465
    • Biane, Ph.1    Pitman, J.2    Yor, M.3
  • 4
    • 0002876396 scopus 로고
    • The Atiyah-Singer theorems: A probabilistic approach. I. The index theorem
    • MR 86q:58128a
    • BISMUT, J. M., The Atiyah-Singer theorems: a probabilistic approach. I. The index theorem, J. Funct. And. 57 (1984), 56-99. MR 86q:58128a
    • (1984) J. Funct. And. , vol.57 , pp. 56-99
    • Bismut, J.M.1
  • 5
    • 0000695994 scopus 로고
    • The Atiyah-Singer theorems: A probabilistic approach. II. The Lefschetz fixed point formulas
    • MR 86q:58128b
    • BISMUT, J. M., The Atiyah-Singer theorems: a probabilistic approach. II. The Lefschetz fixed point formulas, J. Funct. Anal 57 (1984), 329-348. MR 86q:58128b
    • (1984) J. Funct. Anal , vol.57 , pp. 329-348
    • Bismut, J.M.1
  • 7
    • 34250287820 scopus 로고
    • Principe de moindre action, propagation de la chaleur et estimées sous elliptiques sur certains groupes nilpotents
    • MR 57#1574
    • GAVEAU, B., Principe de moindre action, propagation de la chaleur et estimées sous elliptiques sur certains groupes nilpotents, Acta Math. 139 (1977), 95-153. MR 57#1574
    • (1977) Acta Math. , vol.139 , pp. 95-153
    • Gaveau, B.1
  • 9
    • 3042603334 scopus 로고
    • Lévy's stochastic area formula in higher dimensions
    • MR 88a:60107
    • HELMES, K. and SCHWANE, A., Lévy's stochastic area formula in higher dimensions, J. Funct. Anal. 54 (1983), 177-192. MR 88a:60107
    • (1983) J. Funct. Anal. , vol.54 , pp. 177-192
    • Helmes, K.1    Schwane, A.2
  • 13
    • 0000308535 scopus 로고
    • Time series regression with a unit root
    • MR 89c:62156
    • PHILLIPS, P. C. B., Time series regression with a unit root, Econometrica 55 (1987), 277-301. MR 89c:62156
    • (1987) Econometrica , vol.55 , pp. 277-301
    • Phillips, P.C.B.1
  • 15
    • 0035993036 scopus 로고    scopus 로고
    • On the distribution of the square integral of the Brownian bridge
    • MR 2003q:60064
    • TOLMATZ, L., On the distribution of the square integral of the Brownian bridge, Ann. Probab. 30 (2002), 253-269. MR 2003q:60064
    • (2002) Ann. Probab. , vol.30 , pp. 253-269
    • Tolmatz, L.1
  • 16
    • 0040936534 scopus 로고    scopus 로고
    • Interpretations in terms of Brownian and Bessel meanders of the distribution of a subordinated perpetuity
    • (Barndorff-Nielsen, O. E., Mikosch, T. and Resnick S. I., eds.), Birkhäuser. MR 2002e:60136
    • YOR, M., Interpretations in terms of Brownian and Bessel meanders of the distribution of a subordinated perpetuity, in: Lévy processes Theory and applications (Barndorff-Nielsen, O. E., Mikosch, T. and Resnick S. I., eds.), Birkhäuser, (2001), pp. 361-375. MR 2002e:60136
    • (2001) Lévy Processes Theory and Applications , pp. 361-375
    • Yor, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.