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Volumn 2, Issue , 1998, Pages 41-108

Multidimensional version of the results of komlós, major and tusnády for vectors with finite exponential moments

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EID: 84996143460     PISSN: 12928100     EISSN: 12623318     Source Type: Journal    
DOI: 10.1051/ps:1998103     Document Type: Article
Times cited : (70)

References (32)
  • 1
    • 0010068499 scopus 로고
    • Die Bestimmung der zu einem wiederkehrenden Prozess gehörenden Verteilungfunktion aus den mit Fehlern behafteten Daten einer einzigen Realisation
    • BÄRTFAI, P. (1966), Die Bestimmung der zu einem wiederkehrenden Prozess gehörenden Verteilungfunktion aus den mit Fehlern behafteten Daten einer einzigen Realisation, Studio, Sei. Math. Hungar. 1 161-168.
    • (1966) Studio, Sei. Math. Hungar. , vol.1 , pp. 161-168
    • Bärtfai, P.1
  • 3
    • 0002641260 scopus 로고
    • Approximation theorems for independent and weakly dependent random vectors
    • Berkes, I., PHILIPP, W. (1979), Approximation theorems for independent and weakly dependent random vectors, Ann. Probab. 7 29-54.
    • (1979) Ann. Probab. , vol.7 , pp. 29-54
    • Berkes, I.1    Philipp, W.2
  • 4
    • 0000720834 scopus 로고
    • On the rate of convergence in the invariance principle
    • BOROVKOV, A. A. (1973), On the rate of convergence in the invariance principle, Theor. Probab. Appl. 18 207-225.
    • (1973) Theor. Probab. Appl. , vol.18 , pp. 207-225
    • Borovkov, A.A.1
  • 5
    • 34250407340 scopus 로고
    • A new method to prove Strassen type laws of invariance principle. I; II, Z
    • CsöRGö, M., Revesz, P. (1975), A new method to prove Strassen type laws of invariance principle. I; II, Z. Wahrscheinlichkeitstheor. verw. Geb. 31 255-259.
    • (1975) Wahrscheinlichkeitstheor. Verw. Geb , vol.31 , pp. 255-259
    • Csörgö, M.1    Revesz, P.2
  • 7
    • 84985559957 scopus 로고
    • The Komlos-Major-Tusnady approximations and their applications
    • CsöRGö, S., Hall, P. (1984), The Komlos-Major-Tusnady approximations and their applications, Austral. J. Statist. 26 189-218.
    • (1984) Austral. J. Statist. , vol.26 , pp. 189-218
    • Csörgö, S.1    Hall, P.2
  • 9
    • 0042042981 scopus 로고
    • A refinement of the KMT-inequality for partial sum strong approximation
    • No. 88. Carleton University, University of Ottawa
    • Elnmahl, U. (1986), A refinement of the KMT-inequality for partial sum strong approximation, Techn. Rep. Ser. Lab. Res. Statist. No. 88. Carleton University, University of Ottawa.
    • (1986) Techn. Rep. Ser. Lab. Res. Statist.
    • Elnmahl, U.1
  • 10
    • 0001922084 scopus 로고
    • A useful estimate in the multidimensional invariance principle
    • Elnmahl, U. (1987a), A useful estimate in the multidimensional invariance principle, Probab. Theor. Pel. Fields 76 81-101.
    • (1987) Probab. Theor. Pel. Fields , vol.76 , pp. 81-101
    • Elnmahl, U.1
  • 11
    • 0001422577 scopus 로고
    • Strong invariance principles for partial sums of independent random vectors
    • Elnmahl, U. (1987b), Strong invariance principles for partial sums of independent random vectors, Ann. Probab. 15 1419-1440.
    • (1987) Ann. Probab. , vol.15 , pp. 1419-1440
    • Elnmahl, U.1
  • 12
    • 0002431534 scopus 로고
    • Extensions of results of Komlos, Major and Tusnädy to the multivariate case
    • Elnmahl, U. (1989), Extensions of results of Komlos, Major and Tusnädy to the multivariate case, J. Multivar. Anal. 28 20-68.
    • (1989) J. Multivar. Anal. , vol.28 , pp. 20-68
    • Elnmahl, U.1
  • 13
    • 84996141087 scopus 로고    scopus 로고
    • Multidimensional Hungarian construction for almost Gaussian smooth distributions
    • Preprint 97 — 071 SFB 343
    • GÖTZE, F., Zaitsev, A. Yu. (1997), Multidimensional Hungarian construction for almost Gaussian smooth distributions, Preprint 97 — 071 SFB 343, Universität Bielefeld.
    • (1997) Universität Bielefeld
    • Götze, F.1    Zaitsev, A.Y.2
  • 14
    • 0000411204 scopus 로고
    • An approximation of partial sums of independent RV’-s and the sample DF. I; II, Z. Wahrscheinlichkeitstheor
    • 1976, 34 34-58
    • Komlös, J., Major, P., Tusnädy, G. (1975; 1976), An approximation of partial sums of independent RV’-s and the sample DF. I; II, Z. Wahrscheinlichkeitstheor. verw. Geb. 32 111-131; 34 34-58.
    • (1975) Verw. Geb , vol.32 , pp. 111-131
    • Komlös, J.1    Major, P.2    Tusnädy, G.3
  • 15
    • 0000602555 scopus 로고
    • Strong approximation for multivariate empirical and related processes, via KMT construction
    • MASSART, P. (1989), Strong approximation for multivariate empirical and related processes, via KMT construction, Ann. Probab. 17 266-291.
    • (1989) Ann. Probab. , vol.17 , pp. 266-291
    • Massart, P.1
  • 16
    • 0000533782 scopus 로고
    • Almost sure invariance principles for sums of B-valued random variables
    • PHILIPP, W. (1979), Almost sure invariance principles for sums of B-valued random variables, Led. Notes in Math. 709 171-193.
    • (1979) Led. Notes in Math. , vol.709 , pp. 171-193
    • Philipp, W.1
  • 17
    • 0000033355 scopus 로고
    • Convergence of random processes and limit theorem of probability theory
    • PROKHOROV, Yu. (1956), Convergence of random processes and limit theorem of probability theory, Theor. Probab. Appl. 1 157-214.
    • (1956) Theor. Probab. Appl. , vol.1 , pp. 157-214
    • Prokhorov, Y.U.1
  • 18
    • 0000301907 scopus 로고
    • Remarks on a multivariate transformation
    • ROSENBLATT, M. (1952), Remarks on a multivariate transformation, Ann. Math. Statist. 23 470-472.
    • (1952) Ann. Math. Statist. , vol.23 , pp. 470-472
    • Rosenblatt, M.1
  • 19
    • 0007114674 scopus 로고
    • Rate of convergence in the invariance principles for variables with exponential moments that are not identically distributed
    • Nauka, Novosibirsk, (in Russian)
    • SAKHANENKO, A. I. (1984), Rate of convergence in the invariance principles for variables with exponential moments that are not identically distributed, In: Trudy Inst. Mat. SO AN SSSR, Nauka, Novosibirsk, 34-49 (in Russian).
    • (1984) Trudy Inst. Mat. SO AN SSSR , pp. 34-49
    • Sakhanenko, A.I.1
  • 20
    • 0003213225 scopus 로고
    • Normal approximation - some recent advances
    • SAZONOV, V. V. (1981), Normal approximation - some recent advances, Led. Notes in Math. 879.
    • (1981) Led. Notes in Math. , pp. 879
    • Sazonov, V.V.1
  • 21
    • 0002137756 scopus 로고
    • Strong approximation theorems for independent random variables and their applications
    • Shao, Qi-Man (1995), Strong approximation theorems for independent random variables and their applications, J. Multivar. Anal. 52 107-130.
    • (1995) J. Multivar. Anal. , vol.52 , pp. 107-130
    • Shao, Q.-M.1
  • 23
    • 0000187772 scopus 로고
    • An invariance principle for the law of iterated logarithm
    • STRASSEN, V. (1964), An invariance principle for the law of iterated logarithm, Z. Wahrscheinlichkeitstheor. verw. Geb. 3 211-226.
    • (1964) Z. Wahrscheinlichkeitstheor. Verw. Geb. , vol.3 , pp. 211-226
    • Strassen, V.1
  • 25
    • 0000536552 scopus 로고
    • Estimates of the Levy-Prokhorov distance in the multivariate central limit theorem for random variables with finite exponential moments
    • ZAITSEV, A. Yu. (1986), Estimates of the Levy-Prokhorov distance in the multivariate central limit theorem for random variables with finite exponential moments, Theor. Probab. Appl. 31 203-220.
    • (1986) Theor. Probab. Appl. , vol.31 , pp. 203-220
    • Zaitsev, A.Y.1
  • 26
    • 34250101807 scopus 로고
    • On the Gaussian approximation of convolutions under multidimensional analogues of S. N. Bernstein inequality conditions
    • ZAITSEV, A. Yu. (1987), On the Gaussian approximation of convolutions under multidimensional analogues of S. N. Bernstein inequality conditions, Probab. Theor. Pel. Fields 74 535-566.
    • (1987) Probab. Theor. Pel. Fields , vol.74 , pp. 535-566
    • Zaitsev, A.Y.1
  • 27
    • 0001407493 scopus 로고
    • On the connection between two classes of probability distributions
    • Leningrad University Press, (in Russian)
    • ZAITSEV, A. Yu. (1988), On the connection between two classes of probability distributions, In: Rings and modulus. Limit theorems of probability theory. Vol. 2, Leningrad University Press, 153-158 (in Russian).
    • (1988) Rings and Modulus. Limit Theorems of Probability Theory , vol.2 , pp. 153-158
    • Zaitsev, A.Y.1
  • 31
    • 21444441154 scopus 로고    scopus 로고
    • Estimates for quantiles of smooth conditional distributions and multidimensional invariance principle
    • (in Russian)
    • ZAITSEV, A. Yu. (1996b), Estimates for quantiles of smooth conditional distributions and multidimensional invariance principle, Siberian Math. J. 37 807-831 (in Russian).
    • (1996) Siberian Math. J. , vol.37 , pp. 807-831
    • Zaitsev, A.Y.1
  • 32
    • 0039415058 scopus 로고    scopus 로고
    • Multidimensional variant of the Komlos, Major and Tusnady results for vectors with finite exponential moments
    • ZAITSEV, A. Yu. (1997), Multidimensional variant of the Komlos, Major and Tusnady results for vectors with finite exponential moments, Dokl. Math. 56 935-937.
    • (1997) Dokl. Math. , vol.56 , pp. 935-937
    • Zaitsev, A.Y.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.