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Bog‘liqsizlikning empirik xarakteristik protseslari

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Bog‘liqsizlikning empirik xarakteristik protseslari uchun limit Gauss protseslari aniqlangan. Nolinchi gipotezani tekshirish uchun ba’zi statistikalar tavsiya etilgan.

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# empirik xarakteristik jarayon# metrik entropiya# empirical characteristic process# metric entropy

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Maqola idintifikatorlari

Foydalanilgan adabiyotlar

Abdushukurov A. A. , Kakadjanova L. R. A class of special empirical process of independence. J. Siberian Federal Univ. Math. Phys., 8(2), 2015, pp.125-133.

Abdushukurov A. A. , Kakadjanova L. R. Sequential empirical process of independence. J. Siberian Federal Univ. Math. Phys., 5(11), 2018, pp.634-643.

Abdushukurov A. A. , Kakadjanova L. R. The uniform variants of the Glivenko-Cantelli and Donsker type theorems for a sequential integral processes of independence. American J. Theor. & Appl. Stat., 9(4), 2020, pp.121-126.

Какаджанова Л. Р. Равномерные теоремы типа Гливенко-Кантелли и Донскера для последователь- ного интеграл процесса независимости. Бюллетень Инст. Матем., 2, 2020, с.83-91.

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Ossiander Mina. A central limit theorem under metric entropy with L2 bracketing. Ann. Probab., 3(15), 1987, pp.897-919.

Prokhorov Yu. An enlarge of S.N. Bernstein’s inequality to the multivariate case. Theory Probab. Appl., 3(13), 1968, pp.266-274. (In Russian)

Ushakov N. G. Selected topics in characteristic functions. Utrecht, The Netherlands, 1999.

Van der Vaart A. W. , Wellner J. A. Weak convergence and empirical processes. Springer, 1996.

Van der Vaart A. W. Asymptotic Statistics. Cambridge University Press, Cambridge, 1998.

Vapnik V. N. Statistical learning theory. Wiley, New York, 1998.

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