Mixture regression cum ratio estimators of population mean under stratified random sampling

ABSTRACT

In this paper, single-phase mixture regression cum ratio estimators are presented by utilizing auxiliary variables and auxiliary attributes simultaneously under stratified random sampling. Special cases of these estimators are discussed and further mean square errors are extracted mathematically. Also, to observe the properties of proposed estimators, simulation technique is used which shows that the distribution of the proposed estimators is approximately normal. To differentiate the performance of the proposed estimators, an empirical study has been conducted by incorporating quantitative and qualitative characteristics in the form of auxiliary attributes and variables simultaneously. Comparisons are made with single-phase mixture regression cum ratio estimators under simple random sampling. It has been found that the mixture regression cum ratio estimators employing multiple auxiliary variables and attributes, simultaneously, under stratified random sampling are more efficient than mixture regression cum ratio estimator under simple random sampling.

KEYWORDS:

• Auxiliary information
• mean square error
• stratified random sampling
• study variate
• attribute

2010 AMS CLASSIFICATION:

• 62D05

Disclosure statement

No potential conflict of interest was reported by the authors.

ORCID

Asad Ali http://orcid.org/0000-0001-9032-9878