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   An exponential and log ratio estimator of population mean using auxiliary information in double sampling  
   
نویسنده hassan y. ,ismail m. ,sanaullah a.
منبع pakistan journal of statistics and operation research - 2017 - دوره : 13 - شماره : 3 - صفحه:647 -656
چکیده    In this study an improved version of ratio type exponential estimator is been proposed for estimating average of study variable when the population parameter(s) information of second auxiliary variable is available. the proposed estimator compared with usual unbiased estimator and conventional ratio estimators numerically and hypothetically. the mean square error is also obtained and checked the efficiency of the proposed estimator with usual ratio,singh and vishwakarma (2007),singh et al. (2008),noor-ul-amin and hanif (2012),yadav et al. (2013) and sanaullah et al. (2015) estimators.
کلیدواژه Axillary variable; Exponential; Two phase and mean square error
آدرس department of statistics,comsats institute of it,lahore, Pakistan, department of statistics,comsats institute of it,lahore, Pakistan, department of statistics,comsats institute of it,lahore, Pakistan
 
     
   
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