A Generalized Class of Psnr Sampling Scheme

In the present days of advanced electronic technologies in the field of communication like mobile phones, e-mail, internet etc. (and so forth) the incentive based mail surveys are being popular due to their cost effectiveness and rapid approach to individuals. But, a major disadvantage appears as mail surveys are affected by a huge amount of non-response of units in the sample. The post-stratified non-response (PSNR) scheme is used, in the stratified sampling set-up, when (i) frames of stratum are unknown and (ii) strata contain some non-responding units. This paper presents a general class of PSNR type sampling scheme by introducing three groups of earmarked strata based on response pattern along-with two parameters pf the class. The Bayesian approach regarding utilization of prior knowledge (or guess) of response pattern is introduced in the proposed class for estimating the population mean. Several properties of the class are derived and the results are numerically supported.