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EMPIRICAL LIKELIHOOD METHOD AND ITS APPLICATION IN STATISTICAL PROBLEMS OF ESTIMATION

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ARTICLE ANNOTATION

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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

AUTHORS

A.Abdushukurov

Филиал Московского государственного университета в городе Ташкенте

D.Zaxidov

Тошкент давлат аграр университети Андижон филиали

Tags

# доверительный интервал# оценка правдоподобия# эмпирическая функция распределен# эмпирическое правдоподобие# likelihood estimator# empirical distribution function# empirical likelihood# confidence interval# Хақиқатга ўхшашлик бахоси# эмпирик тақсимот функцияси# эмпирик хақиқатга ўхшашлик# ишончлилик интервали

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References

Абдушукуров А.А. Статистика неполных наблядений. Ташкент. 2009. Университет. 269р.

Абдулвахидов А.Л., Захидов Д.Г. Двухвыборочные критерии согласия при случайном цензурировании справа. //Матер.научно-практ.конф. «СТАТИСТИКА и ее применения». Ташкент. Филиал МГУ. 2019. с.369-371.

Bickel P.J., Klaassen C.A.J., Ritov E., J.A.Wellner. Efficient and adaptive estimation for semiparametric model. Baltimore: Johns Hopkins Press.1993

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

Owen A.B. Empirical likelihood. Chapman and Hall. /CRC.2001

Qin J., Lawless J. Empirical likelihood and general estimating equation. //Annals of Statistics, 1994. v.22, N.1, p.300-325.

Zakhidov D.G., Iskandarov D.Kh. Empirical likelihood confidence intervals for truncated integrals. //AMSA-2019. Russia. Novosibirsk. 2019.p.102-104

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