A Class of Estimators Using Auxiliary Information for Estimating Finite Population Variance in Presence of Measurement Errors

References

• Allen , J. , Singh , H. P. , Smarandache , F. ( 2003 ). A family of estimators of population mean using multiauxiliary information in presence of measurement errors . Int. J. Soc. Econ. 30 ( 7 ): 837 – 849 .
   Google Scholar
• Birch , M. W. ( 1964 ). A note on the maximum likelihood estimation of a linear structural relationship . J. Amer. Statist. Assoc. 59 : 1175 – 1178 .
   Web of Science ®Google Scholar
• Cheng , C.-L. , Van Ness , J. W. ( 1991 ). On the unreplicated ultra structural model . Biometrika 78 : 442 – 445 .
   Web of Science ®Google Scholar
• Cheng , C.-L. , Van Ness , J. W. ( 1994 ). On estimating linear relationships when both variables are subject to errors . J. Roy. Statist. Soc. B 56 ( 1 ): 167 – 183 .
   Google Scholar
• Cheng , C.-L. , Van Ness , J. W. ( 1999 ). Statistical Regression with Measurement Errors . London : Arnold Publishers .
   Google Scholar
• Cochran , W. G. ( 1968 ). Errors of measurement in statistics . Technometrics 10 : 637 – 666 .
   Web of Science ®Google Scholar
• Das , A. K. , Tripathi , T. P. ( 1978 ). Use of auxiliary information in estimating the finite population variance . Sankhya C 4 : 139 – 148 .
   Google Scholar
• Fuller , W. A. ( 1987 ). Measurement Errors Models . New York : John Wiley .
   Google Scholar
• Isaki , C. T. ( 1983 ). Variance estimation using auxiliary information . J. Amer. Statist. Assoc. 78 : 117 – 123 .
   Web of Science ®Google Scholar
• Manisha , Singh , R. K. ( 2001 ). An estimation of population mean in the presence of measurement errors . J. Ind. Soc. Agri. Statist. 54 ( 1 ): 13 – 18 .
   Google Scholar
• Schneeweines , H. ( 1976 ). Consistent estimation of a regression with errors in the variables . Metrika 23 : 101 – 105 .
   Google Scholar
• Shalabh ( 1997 ). Ratio method of estimation in the presence of measurement errors . J. Ind. Soc. Agri. Statist. 50 ( 2 ): 150 – 155 .
   Google Scholar
• Singh , H. P. , Karpe , N. (2008). Ratio-product estimator for population mean in presence of measurement errors. J. Appl. Statist. Sci. 16:49–64.
   Google Scholar
• Singh , H. P. , Vishwakarma , G. K. ( 2008 ). Some families of estimators of variance of stratified random sample mean using auxiliary information . J. Statist. Theor. Prac. 2 ( 1 ): 22 – 43 .
   Google Scholar
• Srivastava , S. K. ( 1971 ). A generalized estimator for the mean of a finite population using multi-auxiliary information . J. Amer. Statist. Assoc. 66 : 404 – 407 .
   Web of Science ®Google Scholar
• Srivastava , S. K. ( 1980 ). A class of estimators using auxiliary information in sample surveys . Canad. J. Statist. 8 : 253 – 254 .
   Google Scholar
• Srivastava , S. K. , Jhajj , H. S. ( 1980 ). A class of estimators using auxiliary information for estimating finite population variance . Sankhya C 4 : 87 – 96 .
   Google Scholar
• Srivastava , A. K. , Shalabh ( 1997 ). Asymptotic efficiency properties of least square estimators in ultra structural model . Test 6 ( 2 ): 419 – 431 .
   Web of Science ®Google Scholar
• Srivastava , A. K. , Shalabh ( 2001 ). Effect of measurement errors on the regression method of estimation in survey sampling . J. Statist. Res. 35 ( 2 ): 35 – 44 .
   Google Scholar
• Sud , C. , Srivastava , S. K. ( 2000 ). Estimation of population mean in repeat surveys in the presence of measurement errors . J. Ind. Soc. Agri. Statist. 53 : 125 – 33 .
   Google Scholar