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Scientific Bulletin of Namangan State University

Abstract

Article is devoted to description and illustration of empirical likelihood methods in interval estimation of functional of unknown distribution. The results of authors extending some theorems of Owen for integral functionals for case of complete and censored data from the right also included.

First Page

30

Last Page

36

References

1. Abdushukurov‖ A.A.‖ Statistika‖ nepolnix‖ nablyadeniy.‖ Tashkent.‖ 2009.‖ Universitet.‖ 269r. 2. Abdulvaxidov‖ A.L.,‖ Zaxidov‖ D.G.‖ Dvuxviboroshnie‖ ‖ kriterii‖ soglasiѐ‖ pri‖ slushaynom‖ chenzurirovanii‖ sprava.‖ //Mater.naushno-prakt.konf.‖ «STATISTIKA‖ i‖ yee‖ primeneniѐ».‖ Tashkent.‖Filial‖MGU.‖2019.‖s.369-371. 3. Bickel P.J., Klaassen C.A.J., Ritov E., J.A.Wellner. Efficient and adaptive estimation for semiparametric model. Baltimore: Johns Hopkins Press.1993. 4. Borwein J.M., Lewis A.S. Duality relationships for entropy-like minimization problem.// SIAM J. Control Optim., 1991. v.29, N.2, p.325-338. 5. Owen A.B. Empirical likelihood. Chapman and Hall. /CRC.2001. 6. Qin J., Lawless J. Empirical likelihood and general estimating equation. //Annals of Statistics, 1994. v.22, N.1, p.300-325. 7. Zakhidov D.G., Iskandarov D.Kh. Empirical likelihood confidence intervals for truncated integrals. //AMSA-2019. Russia. Novosibirsk. 2019.p.102-104. 8. Zakhidov D.G., Iskandarov D.Kh. Empirical likelihood confidence intervals for censored integrals.// Computer Data Analysis and Modeling: Stochastic and Data Science. CDAM-2019. Belorussia. Minsk.2019.p.335-336.

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