Open Access Open Access  Restricted Access Subscription Access

Estimation of Mean under Imputation of Missing Data using Exponential-Type Estimators in Two-Phase Sampling

Ajeet Kumar Singh, Priyanka Singh, V. K. Singh


To estimate the population mean with imputation i.e, the technique of substituting missing data, there are a number of techniques available in literature like mean method, ratio method, compromised method and so on. If population mean of auxiliary information is unknown then these methods are not useful and the two–phase sampling is used to obtain the population mean. This paper presents some imputation methods for missing values in two phase sampling .Two different sampling designs in two phase sampling is compared under imputed data. The PRE and MSE of suggested estimators are derived in the form of population parameters using the concept of large sample approximations. Numerical study is performed over empirical population in order to compare the performance of the suggested sampling designs using the expression over PRE and MSE .


Missing Data, Imputation, Bias and Mean squared error.

Full Text:


Disclaimer/Regarding indexing issue:

We have provided the online access of all issues and papers to the indexing agencies (as given on journal web site). It’s depend on indexing agencies when, how and what manner they can index or not. Hence, we like to inform that on the basis of earlier indexing, we can’t predict the today or future indexing policy of third party (i.e. indexing agencies) as they have right to discontinue any journal at any time without prior information to the journal. So, please neither sends any question nor expects any answer from us on the behalf of third party i.e. indexing agencies.Hence, we will not issue any certificate or letter for indexing issue. Our role is just to provide the online access to them. So we do properly this and one can visit indexing agencies website to get the authentic information.