Open Access Open Access  Restricted Access Subscription or Fee Access

Robust Exponential Ratio and Product Type Estimators for Population Mean Using Order Statistics in Simple Random Sampling

Sanjay Kumar, Priyanka Chhaparwal


An appropriate method of estimation is very important in any research. In simple random sampling setting, ratiomethod and product method of estimation are widely used for estimating population mean when the correlation between study and auxiliary variables is positiveand negative respectively. In this paper, we incorporate robust exponential ratio type and product type estimatorsusing modified maximum likelihood and their properties have been obtained theoretically. One real life application for the support of the properties of robust exponential ratio type estimator has also been studied. Robustness properties of the proposed ratio type estimator have been studied which illustrates that modified maximum likelihood estimators (MMLEs) in estimating finite population mean results to robust estimates under non-normality or other data abnormalities such as outliers.


Ratio estimator, Product estimator, Exponential ratio and product estimator, Simulation study, Modified Maximum likelihood.

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. Also: DOI is paid service which provided by a third party. We never mentioned that we go for this for our any journal. However, journal have no objection if author go directly for this paid DOI service.