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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 한국자료분석학회 Journal of The Korean Data Analysis Society Journal of The Korean Data Analysis Society 제19권 제5호
- 발행연도
- 2017.1
- 수록면
- 2,297 - 2,310 (14page)
이용수
초록· 키워드
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In this research, we propose a testing procedure for the goodness-of-fit test to investigate whether the assumption of the additivity between two distributions holds or not. In order to apply this test to the survival analysis, we allow the data to contain the possibly right censored observations. We construct statistics with computing the difference between two different consistent interval estimates from the partitioned the positive half real line, which has been used by Akritas (1988). Also we obtain another consistent estimate of the additivity parameter as byproduct during the construction of test statistics. Then we obtain the limiting distribution of the proposed statistics using the large sample approximation theorem with a consistently estimated covariance matrix when the additivity assumption holds with some additional conditions. Then we exemplify our proposed goodness-of-test with a numerical example and comment briefly some interesting features related to the goodness-of-fit test as concluding remarks.
목차
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참고문헌 (22)
참고문헌 신청
Aalen, O. O. / 1980 / Mathematical Statistics and Probability Theory : 1 ~ 25
Aalen, O. O. / 1989 / A linear regression model for the analysis of life times / Statistics in Medicine 8 : 907 ~ 925
Akritas, M. G. / 1988 / Pearson-type goodness-of-fit tests : the univariate case / Journal of American Statistical Association 83 : 222 ~ 230
Billingsley, P / 1986 / Probability and Measure / Wiley
Choi, J. H. / 2007 / A nonparametric test for diagnosis of the proportionality assumption / Statistical Papers 48 : 467 ~ 477
Aalen, O. O. / 1989 / A linear regression model for the analysis of life times / Statistics in Medicine 8 : 907 ~ 925
Akritas, M. G. / 1988 / Pearson-type goodness-of-fit tests : the univariate case / Journal of American Statistical Association 83 : 222 ~ 230
Billingsley, P / 1986 / Probability and Measure / Wiley
Choi, J. H. / 2007 / A nonparametric test for diagnosis of the proportionality assumption / Statistical Papers 48 : 467 ~ 477
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