Estimating the Population Coefficient of Variation by Confidence Intervals

References

• Almonte , C. , Kibria , B. M. G. ( 2009 ). On some classical, bootstrap and transformation confidence intervals for estimating the mean of an asymmetrical population . Model Assisted Statistics and Applications 4 ( 2 ): 91 – 104 .
   Google Scholar
• Amiri , S. , Zwanzig , S. ( 2010 ). An improvement of the nonparametric bootstrap test for the comparison of the coefficient of variations . Communications in Statistics—Simulation and Computation 39 ( 9 ): 1726 – 1734 .
   Web of Science ®Google Scholar
• Andersson , P. G. ( 2004 ). Alternative confidence intervals for the total of a skewed biological population . Ecology 85 : 3166 – 3171 .
   Web of Science ®Google Scholar
• Baklizi , A. , Kibria , B. M. G. ( 2009 ). One and two sample confidence intervals for estimating the mean of skewed populations: an empirical comparative study . Journal of Applied Statistics 36 : 601 – 609 .
   Web of Science ®Google Scholar
• Cabras , S. , Mostallino , G. , Racugno , W. ( 2006 ). A nonparametric bootstrap test for the equality of coefficients of variation . Communications in Statistics—Simulation and Computation 35 ( 3 ): 715 – 726 .
   Web of Science ®Google Scholar
• Curto , J. D. , Pinto , J. C. ( 2009a ). The coefficient of variation asymptotic distribution in the case of non-iid random variables . Journal of Applied Statistics 36 ( 1 ): 21 – 32 .
   Web of Science ®Google Scholar
• Curto , J. D. , Pinto , J. C. , Tavares , G. N. ( 2009b ). Modeling stock market volatility using GARCH models with normal, student's t and stable Paretian distributions . Statistical Papers 50 : 311 – 321 .
   Web of Science ®Google Scholar
• Efron , B. ( 1979 ). Bootstrap methods: another look at the Jack knife . Annals of Statistics 7 : 1 – 26 .
   Web of Science ®Google Scholar
• Efron , B. ( 1987 ). Better bootstrapping confidence intervals . Journal of American Statistical Association 82 ( 397 ): 171 – 185 .
   Web of Science ®Google Scholar
• Hayes , T. L. , Lewis , D. A. ( 1995 ). Anatomical specialization of the anterior motor speech area: hemisphere differences in magnopyramidal neurons . Brain and Language 37 : 497 – 499 .
   Google Scholar
• Hendricks , W. A. , Robey , W. K. ( 1936 ). The sampling distribution of the coefficient of variation . Annals of Mathematical Statistics 17 : 129 – 132 .
   Google Scholar
• Iglewicz , B. ( 1967 ). Some properties of the coefficient of variation. PhD thesis. Virginia: Virginia Polytechnic Institute, Virginia .
   Google Scholar
• Koopmans , L. H. , Owen , D. B. , Rosenblatt , J. I. ( 1964 ). Confidence intervals for thecoefficient of variation for the normal and lognormal distributions . Biometrika 51 : 25 – 32 .
   Web of Science ®Google Scholar
• Maercker , A. ( 2001 ). Association of cross-cultural differences in psychiatric morbidity with cultural values: a secondary data analysis . German Journal of Psychiatry 4 : 19 – 23 .
   Google Scholar
• McKay , A. T. ( 1932 ). Distribution of the coefficient of variation and the extended t distribution . Journal of Royal Statistical Society 95 : 695 – 698 .
   Google Scholar
• Miller , E. G. ( 1991 ). Asymptotic test statistics for coefficient of variation . Communication in Statistic—Theory & Methods 20 : 3351 – 3363 .
   Web of Science ®Google Scholar
• Nairy , K. S. , Rao , K. A. ( 2003 ). Tests of coefficients of variation of normal population . Communication in Statistics—Simulation and Computation 32 : 641 – 661 .
   Web of Science ®Google Scholar
• Newey , W. K. , West , K. D. ( 1987 ). A simple positive definite heteroskedasticity and autocorrelation consistent covariance matrix . Econometrica 55 : 703 – 708 .
   Web of Science ®Google Scholar
• Pearson , K. ( 1896 ). Mathematical contributions to the theory of evolution? III. Regression, heredity and panmixia . Philosophical Transactions of the Royal Society A 187 : 253 – 318 .
   Google Scholar
• Ross , S. M. ( 2004 ). Introduction to Probability and Statistics for Engineers and Scientists . California : Academic Press .
   Google Scholar
• Sharma , K. K. , Krishna , H. ( 1994 ). Asymptotic sampling distribution of inverse coefficient of variation and its applications . IEEE Transactions on Reliability 43 : 630 – 633 .
   Web of Science ®Google Scholar
• Zhou , S. , Dinh , P. ( 2005 ). Nonparametric confidence intervals for the one and two sample problems . Biostatistic 6 : 187 – 200 .
   PubMed Web of Science ®Google Scholar