Improved Estimation of Finite Population Variance Using Auxiliary Information

References

• Agrawal , M. C. , Panda , K. B. ( 1999 ). A predictive justification for variance estimation using auxiliary information . J. Ind. Soc. Agri. Statist. 52 ( 2 ): 192 – 200 .
   Google Scholar
• Agrawal , M. C. , Sthapit , A. B. ( 1995 ). Unbiased ratio-type variance estimation . Statist. Probab. Lett. 25 : 361 – 364 .
   Web of Science ®Google Scholar
• Biradar , R. S. , Singh , H. P. ( 1994 ). An alternative to ratio estimator of population variance . Assa. Statist. Rev. 8 ( 2 ): 18 – 33 .
   Google Scholar
• Biradar , R. S. , Singh , H. P. ( 1998 ). Predictive estimation of finite population variance . Cal. Statist. Assoc. Bull. 48 : 229 – 235 .
   Google Scholar
• Cebrian , A. A. , Garcia , M. R. ( 1997 ). Variance estimation using auxiliary information: An almost unbiased multivariate ratio estimator . Metrika 45 : 171 – 178 .
   Web of Science ®Google Scholar
• Chandra , P. , Singh , H. P. ( 2001 ). Modified estimators for population variance that utilize the kurtosis of an auxiliary variable in sample surveys . Vikram Mathemat. J. 21 : 31 – 36 .
   Google Scholar
• Chaudhury , A. ( 1978 ). On estimating the variance of a finite population . Metrika 25 : 66 – 67 .
   Google Scholar
• Das , A. K. , Tripathi , T. P. ( 1978 ). Use of auxiliary information in estimating the finite population variance . Sankhya C 40 : 139 – 148 .
   Google Scholar
• Dubey , V. , Sharma , H. K. ( 2008 ). On estimating population variance using auxiliary information . Statist. Trans. New Ser. 9 ( 1 ): 7 – 18 .
   Google Scholar
• Dutta , A. K. , Ghosh , M. ( 1993 ). Bayesian estimation of a finite population variance with auxiliary information . Sankhya B 55 : 156 – 170 .
   Google Scholar
• Garcia , M. R. , Cebrian , A. A. ( 1996 ). Repeated substitution method: The ratio estimator for the population variance . Metrika 43 : 101 – 105 .
   Web of Science ®Google Scholar
• Gupta , S. , Shabbir , J. ( 2008 ). On improvement in estimating the population mean in simple random sampling . J. Appl. Statist. 35 ( 5 ): 559 – 566 .
   Web of Science ®Google Scholar
• Isaki , C. T. ( 1983 ). Variance estimation using auxiliary information . J. Amer. Statist. Assoc. 78 : 117 – 123 .
   Web of Science ®Google Scholar
• Kadilar , C. , Cingi , H. (2004). Ratio estimators in simple random sampling. Appl. Math. Comp. 151(3):893–902.
   Web of Science ®Google Scholar
• Kadilar , C. , Cingi , H. ( 2005 ). A new estimator in stratified random sampling . Commun. Statist. Theor. Meth. 34 ( 3 ): 597 – 602 .
   Web of Science ®Google Scholar
• Kadilar , C. , Cingi , H. ( 2006 ). Ratio estimators for the population variance in simple and stratified random sampling . Appl. Math. Comp. 173 ( 2 ): 1047 – 1059 .
   Web of Science ®Google Scholar
• Kadilar , C. , Cingi , H. ( 2007 ). Improvement in variance estimation in simple random sampling . Commun. Statist. Theor. Meth. 36 ( 11 ): 2075 – 2081 .
   Web of Science ®Google Scholar
• Koyuncu , N. , Kadilar , C. ( 2010 ). On improvement in estimating population mean in stratified random sampling . J. Appl. Statist. 37 ( 6 ): 999 – 1013 .
   Web of Science ®Google Scholar
• Liu , T. P. ( 1974 ). A generalized unbiased estimator for the variance of a finite population . Sankhya C 36 : 23 – 32 .
   Google Scholar
• Maiti , P. ( 2008–09 ). Some shrinkage-type estimators for variance of univariate populations . J. Ind. Soc. Probab. Statist. 2 : 55 – 77 .
   Google Scholar
• Mukhopadhyay , P. ( 1978 ). Estimating a finite population variance under a super population model . Metrika 25 : 115 – 122 .
   Google Scholar
• Mukhopadhyay , P. ( 1982 ). Optimum strategies for estimating the variance of a finite population under a super population model . Metrika 29 : 143 – 158 .
   Google Scholar
• Prasad , B. , Singh , H. P. ( 1990 ). Some improved ratio-type estimators of finite population variance using auxiliary information in sample surveys . Commun. Statist. Theor. Meth. 19 ( 3 ): 1127 – 1139 .
   Web of Science ®Google Scholar
• Prasad , B. , Singh , H. P. ( 1992 ). Unbiased estimators of finite population variance using auxiliary information in sample surveys . Commun. Statist. Theor. Meth. 21 ( 5 ): 1367 – 1376 .
   Web of Science ®Google Scholar
• Searls , D. T. , Intarapanich , P. ( 1990 ). A note on an estimator for the variance that utilizes kurtosis . Amer. Statist. 44 ( 4 ): 295 – 296 .
   Web of Science ®Google Scholar
• Shorroch , R. W. , Zidek , J. V. ( 1976 ). An improved estimator of the generalized variance . Ann. Statist. 4 ( 3 ): 629 – 638 .
   Web of Science ®Google Scholar
• Singh , H. P. ( 1986a ). A generalized class of estimators of ratio, product and mean using supplementary information on auxiliary character in PPSWR sampling scheme . Guj. Statist. Rev. 13 ( 2 ): 1 – 30 .
   Google Scholar
• Singh , H. P. ( 1986b ). A note on the estimation of variance of sample mean using the knowledge of coefficient of variation in normal population . Commun. Statist. Theor. Meth. 15 ( 12 ): 3737 – 3746 .
   Web of Science ®Google Scholar
• Singh , H. P. , Agnihotri , N. ( 2008 ). A general procedure of estimating population mean using auxiliary information in sample surveys . Statist. Trans. New Ser. 9 ( 1 ): 71 – 87 .
   Google Scholar
• Singh , H. P. , Biradar , R. S. ( 1994 ). Estimation of finite population variance using auxiliary information . J. Ind. Soc. Statist. Operas. Res. 15 ( 1–4 ): 47 – 63 .
   Google Scholar
• Singh , H. P. , Chandra , P. , Singh , S. ( 2003 ). Variance estimation using multiauxiliary information for random non-response in survey sampling . Statistica 63 ( 1 ): 23 – 40 .
   Google Scholar
• Singh , H. P. , Ruiz-Espejo , M. ( 1999 ). A class of PPS estimators of population variance using auxiliary information . Rev. Roy. Acad. Exact. Fis. Nat. Esp. 93 ( 2 ): 217 – 220 .
   Google Scholar
• Singh , H. P. , Sahoo , L. N. ( 1996–2000 ). A class of estimators for population variance using two auxiliary variables . Vikram 34 ( 1–3 ): 41 – 48 .
   Google Scholar
• Singh , H. P. , Singh , R. ( 2001 ). Improved ratio-type estimator for variance using auxiliary information . J. Ind. Soc. Agri. Statist. 54 ( 3 ): 276 – 287 .
   Google Scholar
• Singh , H. P. , Singh , R. ( 2003 ). Estimation of variance through regression approach in two phase sampling . Alig. J. Statist. 23 : 13 – 30 .
   Google Scholar
• Singh , H. P. , Solanki , R. S. ( 2012 ). Improved estimation of population mean in simple random sampling using information on auxiliary attribute . Appl. Math. Comput. 218 ( 15 ): 7798 – 7812 .
   Web of Science ®Google Scholar
• Singh , H. P. , Solanki , R. S. ( 2013a ). An efficient class of estimators for the population mean using auxiliary information . Commun. Stat. A-Theor. 42 ( 1 ): 145 – 163 .
   Web of Science ®Google Scholar
• Singh , H. P. , Solanki , R. S. (2013b). A new procedure for variance estimation in simple random sampling using auxiliary information. Stat. Pap. 54(2):479–457.
   Web of Science ®Google Scholar
• Singh , H. P. , Tailor , R. ( 2003 ). Use of known correlation coefficient in estimating the finite population mean . Statist. Trans. 6 ( 4 ): 555 – 560 .
   Google Scholar
• Singh , H. P. , Tailor , Rajesh , Tailor , Ritesh , Kakran , M. S. ( 2004 ). An improved estimator of population mean using power transformation . J. Ind. Soc. Agri. Statist. 58 ( 2 ): 223 – 230 .
   Google Scholar
• Singh , H. P. , Upadhyaya , L. N. , Iachan , R. ( 1990 ). An efficient class of estimators using supplementary information in sample surveys . Alig. J. Statist. 10 : 37 – 50 .
   Google Scholar
• Singh , H. P. , Upadhyaya , L. N. , Namjoshi , U. D. ( 1988 ). Estimation of finite population variance . Curr. Sci. 57 : 1331 – 1334 .
   Web of Science ®Google Scholar
• Singh , J. , Pandey , B. N. , Horano , K. ( 1973 ). On the utilization of a known coefficient of kurtosis in estimation procedure of variance . Ann. Instist. Statist. Math. 25 : 51 – 55 .
   Web of Science ®Google Scholar
• Singh , R. K. , Singh , G. ( 1984 ). A class of estimators for population variance using information on two auxiliary variates . Alig. J. Statist. ( 3-4 ): 43 – 49 .
   Google Scholar
• Singh , S. ( 1991 ). Estimation of finite population variance using double sampling . Alig. J. Statist. 11 : 53 – 56 .
   Google Scholar
• Singh , S. ( 2003 ). Advanced sampling Theory with Applications: How Michael Selected Amy . The Netherlands : Kluwer Academic Publishers .
   Google Scholar
• Singh , S. , Horn , S. , Yu , F. ( 1998 ). Estimation of the variance of the general regression estimator: Higher level calibration approach . Sur. Methodol. 24 ( 1 ): 41 – 50 .
   Google Scholar
• Singh , S. , Joarder , A. H. ( 1998 ). Estimation of finite population variance using random non-response in survey sampling . Metrika 47 : 241 – 249 .
   Web of Science ®Google Scholar
• Sisodia , B. V. S. , Dwivedi , V. K. ( 1982 ). On double sampling ratio cum product type estimator with independent sample . Biometr. J. 24 : 517 – 521 .
   Google Scholar
• Srivastava , S.K. , Jhajj , H.S. ( 1980 ). A class of estimators using auxiliary information for estimating finite population variance . Sankhya C 42 : 87 – 96 .
   Google Scholar
• Swain , A. K. P. C. , Mishra , G. ( 1994 ). Estimation of population variance under unequal probability sampling . Sankhya B 56 : 374 – 384 .
   Google Scholar
• Tripathi , T. P. , Singh , H. P. , Upadhyaya , L. N. ( 1988 ). A generalized method of estimation in double sampling . J. Ind. Statist. Assoc. 26 : 91 – 101 .
   Google Scholar
• Upadhyaya , L. N. , Singh , H. P. ( 1983 ). Use of auxiliary information in the estimation of population variance . Mathemat. Forum 6 ( 2 ): 33 – 36 .
   Google Scholar
• Upadhyaya , L. N. , Singh , H. P. ( 1986 ). On a dual to ratio estimator for estimating finite population variance . Nepalese Mathemat. Sci. Report 11 ( 1 ): 37 – 42 .
   Google Scholar
• Upadhyaya , L. N. , Singh , H. P. ( 1999a ). Use of transformed auxiliary variable in estimating the finite population mean . Biometr. J. 41 ( 5 ): 627 – 636 .
   Web of Science ®Google Scholar
• Upadhyaya , L. N. , Singh , H. P. ( 1999b ). An estimator of population variance that utilizes the kurtosis of an auxiliary variable in sample surveys . Vikram Mathemat. J. 19 : 14 – 17 .
   Google Scholar
• Upadhyaya , L. N. , Singh , H. P. , Singh , S. ( 2004 ). A class of estimators for estimating the variance of the ratio estimator . J. Jap. Statist. Soc. 34 ( 1 ): 47 – 63 .
   Google Scholar
• Wakimoto , K. ( 1971 ). Stratified random sampling (I): Estimation of population variance . Ann. Inst. Statist. Math. 23 : 233 – 252 .
   Web of Science ®Google Scholar
• Wolter , K. M. ( 1985 ). Introduction to Variance Estimation . New York : Springer-Verlag .
   Google Scholar
• Wu , C. F. ( 1982 ). Estimation of variance of the ratio estimator . Biometrika 69 ( 1 ): 183 – 189 .
   Web of Science ®Google Scholar
• Yadav , R. , Upadhyaya , L. N. , Singh , H. P. , Chatterjee , S. ( 2013 ). A generalized family of transformed ratio-product estimators for variance in sample surveys . Commun. Statist. Theor. Meth. 42 ( 10 ): 1839 – 1850 .
   Web of Science ®Google Scholar