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Estimation of Population mean in Generalized Class of Chain Ratio-Product Type Estimators in Double Sampling Using Two Auxiliary Variables

Author Affiliations

  • 1Department of Statistics, Udai Pratap Autonomous College, Varanasi, U.P. INDIA

Res. J. Mathematical & Statistical Sci., Volume 3, Issue (8), Pages 1-4, August,12 (2015)


The present paper gives the idea of estimating the population mean of the study variable using two auxiliary variables in double sampling. Here we have suggested a class of estimators of population mean in double sampling. The relative bias and mean square error of the proposed class of estimators are also given. An empirical study is carried out for showing the performance of the proposed class of estimators. The comparisons of the proposed class of estimators with relevant estimator are also given on the basis of their mean square error.


  1. W.G. Cochran, The estimation of the yields of the cerealexperiments by sampling for the ratio of grain to totalproduce, The Journal of Agricultural Science, 30, 262-275, (1940)
  2. D.S. Robson, Applications of multivariate polykays to thetheory of unbiased ratio-type estimation, Journal of theAmerican Statistical Association, 52, 511-522, (1957)
  3. M.N. Murthy, Product method of estimation, The IndianJournal of Statistics A, 26, 69-74, (1964)
  4. J. Neyman, Contribution to the theory of sampling humanpopulations, Journal of the American StatisticalAssociation, 33, 101-116, (1938)
  5. L. Chand, Some ratio-type estimators based on two ormore auxiliary variables [Ph.D. dissertation], Iowa StateUniversity, Ames, Iowa, USA, (1975)
  6. B. Kiregyera, A chain ratio-type estimator in finitepopulation double sampling using two auxiliary variables, Metrika, 27(4), 217-223, (1980)
  7. G.N. Singh and L.N. Upadhyaya, A class of modifiedchain-type estimators using two auxiliary variables in twophase sampling, Metron, 53(3-4), 117-125, (1995)
  8. B. Prasad, R.S. Singh, and H.P. Singh, Some chain ratiotypeestimators for ratio of two population means usingtwo auxiliary characters in two phase sampling, Metron,54(1-2), 95-113, (1996)
  9. S. Singh, H.P. Singh and L.N. Upadhyaya, Chain ratio andregression type estimators for median estimation in surveysampling, Statistical Papers, 48(1), 23-46, (2007)
  10. B.K. Singh and S. Choudhury, Exponential chain ratio andproduct type estimators for finite population mean underdouble sampling scheme, Global Journal of ScienceFrontier Research, 12, 6, (2012)
  11. G.K. Vishwakarma and R.K. Gangele, A class of chainratio-type exponential estimators in double sampling usingtwo auxiliary variates, Applied Mathematics andComputation, 227, 171-175, (2014)
  12. H.P. Singh and M. Ruiz Espejo, Double sampling ratioproductestimator of a finite population mean in samplesurvey, Journal of Applied Statistics, 34(1-2), 71-85,(2007)
  13. Vishwakarma G.K. and Kumar M., An improved class ofchain ratio-product type estimators in two phase samplingusing two auxiliary variables, Journal of Probability andStatistics, 1-6, (2014)