Unbiased product estimators

On A Method of Bias Reduction in the Product Method of Estimation

“…Precisely, in a similar way Srivastava et al [8] obtained MSEs of and to order . But from Singh's [11] derived results, up to this order of approximation, .…”

“…This result is due to Srivastava et al [8]. Since , a sufficient condition for to be more efficient than is that .…”

“…This unbiased estimator was framed by Robson [1]. Srivastava et al [8] compared variance expressions up to terms of order and concluded that is more efficient than . Considering exact variance expressions under finite and infinite population's set-up, Chaubey et al [9] established that is better than when .…”

Development of improved estimators of finite population mean in simple random sampling with dual auxiliaries and its application to real world problems

“…In cases of negative correlation, alternative estimators have been introduced in the literature by Refs. [ 23 , 24 , [32] , [33] , [34] , 36 , 38 ]. Additionally [ 2 , 6 , 9 , 18 , 21 ], suggested ratio-cum-product estimators for population mean.…”