Estimation of population mean in presence of random non-response

In the present investigation, an attempt was made to develop some ratio-cumproduct type exponential estimators for population mean in case of random non-response in three different situations (i) non-response is present on both the study variate as well as auxiliary variates and population mean of the auxiliary variates are known, (ii) nonresponse is present only on the study variate and population mean of the auxiliary variates are known and (iii) non-response is present on both the study as well as auxiliary variates but population mean of auxiliary variate is unknown. The biases and mean squared errors of the suggested estimators have been obtained in all three situations. The suggested estimators have been compared with the estimators present in literatures in case of random nonresponse in all three aforesaid situations. An empirical study has been carried out to support the performance of the suggested estimators obtained theoretically.