Ratio estimators for the finite population mean under simple random sampling and rank set sampling

This paper proposes ratio estimators for the population mean by using auxiliary information efficiently under simple random sampling (SRS) and rank set sampling (RSS). We obtain the bias and mean square error for the proposed estimators and show that the proposed estimator under RSS is more efficient than the estimator under SRS. The results have been illustrated numerically through simulation study.

[1]  Amer Ibrahim Al-Omari,et al.  New ratio estimators of the mean using simple random sampling and ranked set sampling methods , 2009 .

[2]  Ganapati P. Patil,et al.  Ranked set sampling , 2006 .

[3]  Rajesh Singh,et al.  Estimation of population mean using information on auxiliary attribute in two-phase sampling , 2015, Appl. Math. Comput..

[4]  A. R. Sen.  Estimation of the population mean when the coefficient of variation is known , 1978 .

[5]  G. McIntyre,et al.  A method for unbiased selective sampling, using ranked sets , 1952 .

[6]  J. L. Clutter,et al.  Ranked Set Sampling Theory with Order Statistics Background , 1972 .

[7]  Amer Ibrahim Al-Omari,et al.  Percentile Double Ranked Set Sampling , 2008 .

[8]  Housila P. Singh,et al.  On ratio and product methods with certain known population parameters of auxiliary variable in sample surveys , 2010 .

[9]  Kazumasa Wakimoto,et al.  On unbiased estimates of the population mean based on the sample stratified by means of ordering , 1968 .

[10]  R. Tuteja,et al.  Ratio and Product Type Exponential Estimators , 1991 .

[11]  Javid Shabbir,et al.  Estimation of the finite population mean in two phase sampling when auxiliary variables are attributes , 2010 .

[12]  C. Bouza.  Ranked Set Sub Sampling the Non Response Strata for Estimating the Difference of Means , 2002 .

[13]  Improved Estimator of Population Mean Using Auxiliary Information under Ranked Set Sampling , 2014 .

[14]  Rajesh Singh,et al.  Improved estimation of population variance using information on auxiliary attribute in simple random sampling , 2014, Appl. Math. Comput..

[15]  Improved estimator of population variance using information on auxiliary attribute in simple random sampling , 2014, 1403.0154.

[16]  Montip Tiensuwan,et al.  Nonnegative Unbiased Estimation of Scale Parameters and Associated Quantiles Based on a Ranked Set Sample , 2007, Commun. Stat. Simul. Comput..

[17]  On the Estimation of the Population Mean with Known Coefficient of Variation , 1984 .

[18]  B. Arnold,et al.  A first course in order statistics , 1994 .

[19]  William G. Cochran,et al.  The estimation of the yields of cereal experiments by sampling for the ratio of grain to total produce , 1940, The Journal of Agricultural Science.

[21]  Ingram Olkin,et al.  MULTIVARIATE RATIO ESTIMATION FOR FINITE POPULATIONS , 1958 .

[22]  Narayanaswamy Balakrishnan,et al.  Confidence Intervals for Quantiles and Tolerance Intervals Based on Ordered Ranked Set Samples , 2006 .

[23]  Hani M. Samawi,et al.  Estimation of Ratio Using Rank Set Sampling , 1996 .

[24]  A. C. Onyeka.  Estimation of population mean in post-stratified sampling using known value of some population parameter(s) , 2012 .