[1] |
Billingsley, P.: Convergence of Probability Measures. New York: Wiley 1968 · Zbl 0172.21201 |
[2] |
Chung, K.L.: Markov Chains, 2nd ed. Berlin-Heidelberg-New York: Springer 1967 · Zbl 0146.38401 |
[3] |
Doob, J.L.: Stochastic Processes. New York: Wiley 1953 · Zbl 0053.26802 |
[4] |
Dubins, L.E., Hahn, M.G.: A characterization of the families of finite-dimensional distributions associated with countably additive stochastic processes whose sample paths are in D. Z. Wahrscheinlichkeitstheorie verw. Gebiete 43, 97-100 (1978) · Zbl 0349.60036 · doi:10.1007/BF00668452 |
[5] |
Dudley, R.M.: Sample functions of the Gaussian process. Ann. of Probability 1, 66-103 (1973) · Zbl 0261.60033 · doi:10.1214/aop/1176997026 |
[6] |
Dudley, R.M.: Metric entropy and the central limit theorem in C(S). Ann. Inst. Fourier (Grenoble) 24, 49-60 (1974) · Zbl 0275.60033 |
[7] |
Feldman, J.: Sets of boundedness and continuity for the canonical normal process. Proc. Sixth Berkeley Sympos. Math. Statist. Probab. 2, 357-367. Berkeley: Univ. Calif. Press 1970 |
[8] |
Fisz, M.: A central limit theorem for stochastic processes with independent increments. Studia Math. 18, 223-227 (1959) · Zbl 0152.16404 |
[9] |
Gihman, I.I., Skorohod, A.V.: Introduction to the Theorem of Random Processes. Philadelphia: Saunders 1969 · Zbl 0291.60019 |
[10] |
Hahn, M.G.: What second-order Lipschitz conditions imply the CLT? Lecture Notes in Mathematics 526, 107-111. Berlin-Heidelberg-New York: Springer 1976 · Zbl 0401.60021 |
[11] |
Hahn, M.G.: Conditions for sample-continuity and the central limit theorem. Ann. of Probability 5, 351-360 (1977) · Zbl 0388.60043 · doi:10.1214/aop/1176995796 |
[12] |
Hahn, M.G.: A note on the central limit theorem for square-integrable processes. Proc. Amer. Math. Soc. 64, 331-334 (1977) · Zbl 0334.60013 · doi:10.1090/S0002-9939-1977-0448487-X |
[13] |
Hahn, M.G., Klass, M.J.: Sample-continuity of square-integrable processes. Ann. Probability 5, 361-370 (1977) · Zbl 0388.60044 · doi:10.1214/aop/1176995797 |
[14] |
Iglehart, D.L.: Weak convergence of probability measures on product spaces with applications to sums of random vectors. Technical Report No. 109, Department of Operations Research, Stanford University (1968) · Zbl 0214.43701 |
[15] |
Itô, K., Nisio, M.: On the oscillation functions of Gaussian processes. Math. Scand. 22, 209-223 (1968) · Zbl 0231.60027 |
[16] |
Jain, N.C., Marcus, M.B.: Central limit theorems for C(S)-valued random variables. J. Functional Analysis 19, 216-231 (1975) · Zbl 0305.60004 · doi:10.1016/0022-1236(75)90056-7 |
[17] |
Kinney, J.R.: Continuity properties of sample functions of Markov processes. Trans. Amer. Math. Soc. 74, 280-302 (1953) · Zbl 0053.27104 · doi:10.1090/S0002-9947-1953-0053428-1 |
[18] |
Kolmogorov, A.N.: On Skorokhod Convergence. Theor. Probability Appl. 1, 215-222 (1956) · Zbl 0074.34102 · doi:10.1137/1101017 |
[19] |
Kuratowski, K.: Topology I. New York: Academic Press 1966 |
[20] |
Neveu, J.: Processes Aléatoires Gaussiens. Les Presses de l’Université de Montréal (1968) |
[21] |
Phoenix, S.L., Taylor, H.M.: The asymptotic strength distribution of a general fiber bundle. Advances in Appl. Probability 5, 200-216 (1973) · Zbl 0272.60006 · doi:10.2307/1426033 |
[22] |
Strassen, V., Dudley, R.M.: The central limit theorem and ?-entropy. Lectures Notes in Mathematics 89, 224-231. Berlin-Heidelberg-New York: Springer 1969 · Zbl 0196.21101 |
[23] |
Taylor, H.M.: A central limit theorem in D[0, 1]. Cornell University Technical Report No. 163, 1-10 (1972) |