Nonparametric estimation for contamination distribution

Jun Hui; Bai Qi Miao; Jing Ning; Heng PENG

doi:10.1007/s11766-008-0206-0

Nonparametric estimation for contamination distribution

Jun Hui^*
, Bai Qi Miao
, Jing Ning
, Heng PENG

^*Corresponding author for this work

Department of Mathematics

Research output: Contribution to journal › Journal article › peer-review

Abstract

In the paper, for the contamination distribution model F (x) = (1 - α) F₁(x) + αF₂(x), the estimates of α and F₁(x) are studied using two different ways when F₂(x) is known and the strong consistency of the two estimates is proved. At the same time the consistency rate of estimate α is also given.

Original language	English
Pages (from-to)	175-182
Number of pages	8
Journal	Applied Mathematics
Volume	23
Issue number	2
DOIs	https://doi.org/10.1007/s11766-008-0206-0
Publication status	Published - Jun 2008

User-Defined Keywords

Contamination distribution
Rate of consistency
Strong consistency

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10.1007/s11766-008-0206-0

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@article{e8800764b7354c49a2b86ce9ba2a6bbe,

title = "Nonparametric estimation for contamination distribution",

abstract = "In the paper, for the contamination distribution model F (x) = (1 - α) F1(x) + αF2(x), the estimates of α and F1(x) are studied using two different ways when F2(x) is known and the strong consistency of the two estimates is proved. At the same time the consistency rate of estimate α is also given.",

keywords = "Contamination distribution, Rate of consistency, Strong consistency",

author = "Jun Hui and Miao, \{Bai Qi\} and Jing Ning and Heng PENG",

note = "Funding Information: Received: 2006-06-10. MR Subject classification: 62G50, 62G30. Keywords: contamination distribution, strong consistency, rate of consistency. Digital Object Identifier(DOI): 10.1007/s11766-008-0206-0. Supported by National Natural Science Foundation of China (10471135), National China and special finance support of Chinese Academy of Sciences.",

year = "2008",

month = jun,

doi = "10.1007/s11766-008-0206-0",

language = "English",

volume = "23",

pages = "175--182",

journal = "Applied Mathematics",

issn = "1005-1031",

publisher = "Springer Verlag",

number = "2",

}

TY - JOUR

T1 - Nonparametric estimation for contamination distribution

AU - Hui, Jun

AU - Miao, Bai Qi

AU - Ning, Jing

AU - PENG, Heng

N1 - Funding Information: Received: 2006-06-10. MR Subject classification: 62G50, 62G30. Keywords: contamination distribution, strong consistency, rate of consistency. Digital Object Identifier(DOI): 10.1007/s11766-008-0206-0. Supported by National Natural Science Foundation of China (10471135), National China and special finance support of Chinese Academy of Sciences.

PY - 2008/6

Y1 - 2008/6

N2 - In the paper, for the contamination distribution model F (x) = (1 - α) F1(x) + αF2(x), the estimates of α and F1(x) are studied using two different ways when F2(x) is known and the strong consistency of the two estimates is proved. At the same time the consistency rate of estimate α is also given.

AB - In the paper, for the contamination distribution model F (x) = (1 - α) F1(x) + αF2(x), the estimates of α and F1(x) are studied using two different ways when F2(x) is known and the strong consistency of the two estimates is proved. At the same time the consistency rate of estimate α is also given.

KW - Contamination distribution

KW - Rate of consistency

KW - Strong consistency

UR - https://www.scopus.com/pages/publications/45349099498

U2 - 10.1007/s11766-008-0206-0

DO - 10.1007/s11766-008-0206-0

M3 - Journal article

AN - SCOPUS:45349099498

SN - 1005-1031

VL - 23

SP - 175

EP - 182

JO - Applied Mathematics

JF - Applied Mathematics

IS - 2

ER -

Nonparametric estimation for contamination distribution

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