Asymptotic efficiency;
competing risks;
conditional probability;
right censoring;
U-statistics;
D O I:
10.1080/10485252.2018.1563699
中图分类号:
O21 [概率论与数理统计];
C8 [统计学];
学科分类号:
020208 ;
070103 ;
0714 ;
摘要:
In this paper, we develop a simple nonparametric test for testing the independence of time to failure and cause of failure in competing risks set up. We generalise the test to the situation where failure data is right censored. We obtain the asymptotic distribution of the test statistics for complete and censored data. The efficiency loss due to censoring is studied using Pitman efficiency. The performance of the proposed test is evaluated through simulations. Finally we illustrate our test procedure using three real data sets.
机构:
Univ N Carolina, Dept Math & Stat, Charlotte, NC 28223 USAUniv N Carolina, Dept Math & Stat, Charlotte, NC 28223 USA
Sun, Yanqing
Wang, Huixia Judy
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h-index: 0
机构:
N Carolina State Univ, Dept Stat, Raleigh, NC 27695 USAUniv N Carolina, Dept Math & Stat, Charlotte, NC 28223 USA
Wang, Huixia Judy
Gilbert, Peter B.
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h-index: 0
机构:
Univ Washington, Dept Biostat, Seattle, WA 98109 USA
Fred Hutchinson Canc Res Ctr, Seattle, WA 98109 USAUniv N Carolina, Dept Math & Stat, Charlotte, NC 28223 USA
机构:
Univ KwaZulu Natal, Sch Math Stat & Comp Sci, Pietermaritzburg, South AfricaUniv KwaZulu Natal, Sch Math Stat & Comp Sci, Pietermaritzburg, South Africa
Ndlovu, Bonginkosi D.
Melesse, Sileshi F.
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机构:
Univ KwaZulu Natal, Sch Math Stat & Comp Sci, Pietermaritzburg, South AfricaUniv KwaZulu Natal, Sch Math Stat & Comp Sci, Pietermaritzburg, South Africa
机构:
Korea Univ, Dept Stat, 145 Anam Ro, Seoul 02841, South KoreaKorea Univ, Dept Stat, 145 Anam Ro, Seoul 02841, South Korea
Choi, Sangbum
Cho, Hyunsoon
论文数: 0引用数: 0
h-index: 0
机构:
Natl Canc Ctr, Grad Sch Canc Sci & Policy, Dept Canc Control & Populat Hlth, Goyang, Gyeonggido, South KoreaKorea Univ, Dept Stat, 145 Anam Ro, Seoul 02841, South Korea
机构:
Leiden Univ, Dept Med Stat & Bioinformat, Med Ctr, NL-2300 RC Leiden, NetherlandsLeiden Univ, Dept Med Stat & Bioinformat, Med Ctr, NL-2300 RC Leiden, Netherlands
Nicolaie, M. A.
van Houwelingen, H. C.
论文数: 0引用数: 0
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机构:
Leiden Univ, Dept Med Stat & Bioinformat, Med Ctr, NL-2300 RC Leiden, NetherlandsLeiden Univ, Dept Med Stat & Bioinformat, Med Ctr, NL-2300 RC Leiden, Netherlands
van Houwelingen, H. C.
Putter, H.
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机构:
Leiden Univ, Dept Med Stat & Bioinformat, Med Ctr, NL-2300 RC Leiden, NetherlandsLeiden Univ, Dept Med Stat & Bioinformat, Med Ctr, NL-2300 RC Leiden, Netherlands