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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
- 2,287 - 2,296 (10page)
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In this paper, we suggest the test statistic for detecting multiple outliers in gamma distribution and derive its probability density function using characteristic function. Since the probability density function of the proposed function is very complicative, from simulation study, we present the critical values of the proposed test statistics to detect outliers easily. We also compare the powers of the proposed test statistic with other comparative statistics, Dixon (1950)’s statistic, Nooghabi et al. (2010)‘s statistic, Kumar, Lalitha (2012)’s statistic, Kim, Kim (2015)’s statistic. Throughout the simulation studies, we show that our proposed test statistic has good powers among other statistics. In particular we can inspect that the powers of our proposed test statistics are relatively good when the number of outliers, k, is greater than or equal to 2. As we know, an exponential distribution is a special case of a gamma distribution, therefore the results in this paper are applicable to an exponential distribution.
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참고문헌 (10)
참고문헌 신청
Barnett, V. / 1994 / Outliers in statistical data / John Wiley : 320 ~ 328
Chikkagoudar, M. S. / 1983 / Distribution of test statistics for multiple outliers in exponential samples / Communications in Statistics - Theory and Methods 12 : 2127 ~ 2142
Dixon, W. J. / 1950 / Analysis of extreme values / Annals of Mathematical Statistics 21 : 488 ~ 506
Hawkins, D. / 1980 / Identification of outliers / Chapman and Hall
Kumar, N. / 2012 / Testing for upper outliers in gamma sample / Communications in Statistics - Theory and Methods 41 (5) : 820 ~ 828
Chikkagoudar, M. S. / 1983 / Distribution of test statistics for multiple outliers in exponential samples / Communications in Statistics - Theory and Methods 12 : 2127 ~ 2142
Dixon, W. J. / 1950 / Analysis of extreme values / Annals of Mathematical Statistics 21 : 488 ~ 506
Hawkins, D. / 1980 / Identification of outliers / Chapman and Hall
Kumar, N. / 2012 / Testing for upper outliers in gamma sample / Communications in Statistics - Theory and Methods 41 (5) : 820 ~ 828
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