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References
Jacod J. Calcul stochastique et problèmes de martingales.-Lecture Notes in Math. 714, Springer-Verlag, 1979.
Ivčenko G.I., Medvedev Ju.I. Decomposable statistics and the hypotheses testing for grouped data.-Theory of Probab.and Appl., 1980, vol.XXV, No 2, p.535–548.
Le Cam L. Local asymptotically normal families of distributions.-Univ.Calif.Publ.Statist., 1960, 3, p.37–98.
Hall W.J., Loynes R.M. On the concept of contiguity.-Ann.Probab., 1977, vol.5, No 2, p.278–282.
Itô K., Watanabe S. Transformation of Markov processes by multiplicative functionals.-Ann.Inst.Fourier, 1965, vol.15, p.15–30.
Yoeurp Ch. Décompositions des martingales locales et formules exponentielles.-Sém.de Probab. X, Lecture Notes in Math., 511, Springer-Verlag, 1976, p.432–480.
Hájek J., Šidák Z. Theory of rank statistics. Academic Press, N.Y., 1967.
Lepingle D., Mémin J. Sur l'integrabilité uniforme de martingales exponentielles.-Z. Wahrscheinlichkeitstheorie und verw.Gebiete, 1978, B.42, S.175–204.
Eagleson G.K., Mémin J. Sur la contiguité de deux suites de mesures: généralization d'un théoremè de Kabanov-Liptcer-Shiryayev.-Sém. de Probab. XVI, Lecture Notes in Math., 920, Springer-Verlag, p. 319–337.
Liptzer R.S., Pukelsheim F., Shiryaev A.N. On necessary and sufficient conditions of contiguity and complete asymptotical separability, preprint, 1982.
Gihman I.I., Skorokhod A.V. Stochastic differential equations and their applications, Kiev, 1982.
Grigelionis B., Mikulevičius R. On weak convergence of semimartingales.-Lietuvos matem.rink., 1981, vol.XXI, No 3, p.9–24.
Grigelionis B., Mikulevičius R. On weak convergence of random point processes.-Lietuvos matem.rink., 1981, vol.XXI, p.49–55.
Grigelionis B., Mikulevičius R. On stably weak convergence of semimartingales and point process.-Theory of Probab.and Appl., 1983, vol. XXVIII, No 2.
Jacod J., Kłopotowski A., Mémin J. Théoremè de la limite centrale et convergence functionelle vers un processes à accroissements indépendentes: la méthode des martingales.-Ann.Inst. Henri Poincaré, Sec.B,XVIII, 1982, 1–4 5.
Kubilius K. On asymptotics of distributions of the semimartingales.-Lietuvos matem.rink., 1981, vol.XXI, No 3, p.31–51.
Liptzer R.S., Shiryaev A.N. On weak convergence of semimartingales to the stochastically continuous processes with independent and conditionally independent increments.-Matem.Sb., 1981, vol.116 (158), No 3(11), p.331–358.
Rebolledo R. La méthode des martingales appliquée a l'etude de la convergence en loi de processus.-Bull.de la Société Mathématique de France, Mém.62, 1979, p.1–125.
Hmaladze E.V. Martingale approach in the theory of goodness-of-fit tests.-Theory of Probab.and Appl., 1981, v.XXVI, No 2, 246–265.
Metivier M., Pellaumail J. Stochastic integration.-Academic Press, 1980.
Lenglart E. Relation de domination entre deux processus.-Ann. Inst.H.Poincaré, 1977, vol.13, p.171–179.
Aldous D. Stopping times and tightness.-Ann.Probab., 1978, vol.6, No 2, p.335–340.
Aalen O. Nonparametric inference for a family of counting processes.-Ann.Statist., 1978, vol.6, No 4, p.701–726.
Aalen O., Johansen S. An empirical transition matrix for nonhomogeneous Markov chain based on censored observations.-Scand. J.Statist., 1978, vol.5, p.141–150.
Rebolledo R. Sur les applications de la theorie des martingales a l'étude statistique d'une famille de processus ponctuels.-Lecture Notes in Math., 636, 1978, p.27–70.
Gill R.D. Censoring and stochastic integrals.-Math.Centre Tracts 124, Mathematisch Centrum, Amsterdam, 1980.
Kutoyantz Ju.A. Estimation of parameters of stochastic processes. Erevan, 1980.
Gill R.D. Large sample behaviour of the product-limit estimator on the whole line.-Mathematisch Centrum, Amsterdam, preprint SW 74/81, 1981.
Andersen P.K., Borgan O., Gill R., Keiding N. Linear nonparametric tests for comparison of counting processes with applications to censored survival data.-Research report 81/4, Statistical Research Unit, Copenhagen, 1981.
Sen P.K. Sequential nonparametrics: Invariance principles and statistical inference. New York, Wiley, 1981.
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Grigelionis, B., Mikulevičius, R. (1983). On contiguity and weak convergence of probability measures. In: Prokhorov, J.V., Itô, K. (eds) Probability Theory and Mathematical Statistics. Lecture Notes in Mathematics, vol 1021. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0072915
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DOI: https://doi.org/10.1007/BFb0072915
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