Browse > Article
http://dx.doi.org/10.5351/CKSS.2003.10.2.497

Influence Function on Tolerance Limit  

Kim, Honggie (Department of Statistics, Chungnam National University)
Lee, Yun Hee (Department of Statistics, Chungnam National University)
Shin, Hee Sung (Spent Fuel Management Technology Development Division, Korea Atomic Energy Research Institute)
Lee, Sounki (Departmen of Statistics, Chungnam National University)
Publication Information
Communications for Statistical Applications and Methods / v.10, no.2, 2003 , pp. 497-505 More about this Journal
Abstract
Under normality assumption, the tolerance interval for a future observation is sometimes of great interest in statistics. In this paper, we state the influence function on the standard deviation $\sigma$, and use it to derive the influence function on tolerance limits. Simulation study shows that the two influence functions perform very well.
Keywords
Influence function; tolerance interval; tolerance limit; confidence interval;
Citations & Related Records
Times Cited By KSCI : 2  (Citation Analysis)
연도 인용수 순위
1 Measures of Influence in Correspondence Analysis /
[ Kim,H. ] / The Journal of Statistical Computation and Simulation   DOI   ScienceOn
2 /
[ Cook,R.D.;Weisberg,S. ] / Residuals and Influence in Regression
3 Influence Functions on χ² statistic in Contingency Tables /
[ Kim,H.;Lee,H. ] / The Korean Communications in Statistics   과학기술학회마을
4 The Influence Curve and Its Role in Robust Estimation /
[ Hampel,F.R. ] / Journal of the American Statistical Association   DOI   ScienceOn
5 Influence on Confidence Regions for Regression Coefficients in Generalized Linear Models /
[ Thomas,W. ] / Journal of the American Statistical Association   DOI   ScienceOn
6 Tolerance Limits for a Normal Distribution /
[ Wald,A.;Wolfwiz,J. ] / The Annals of Mathematical Statistics   DOI   ScienceOn
7 Characterization of an Empirical Influence Function for Detecting Influential Cases in Regression /
[ Cook,R.D.;Weisberg,S. ] / Technometrics   DOI   ScienceOn
8 A study on Cell Influences to Chi-square statistic in Contingency Tables /
[ Kim,H. ] / The Korean Communications in Statistics   과학기술학회마을
9 Assessing case influence on cofidence intervals in nonlinear regression /
[ Dzieciolowski,K.;Ross,W.H. ] / The Canadian Journal of Statistics   DOI
10 Tolerance Intervals for Univariate Distribution /
[ Guenther,W.C. ] / Naval Research Logistics Quarterly   DOI