Open AccessMultivariate Rotation Design for Population Mean in Sampling on Successive Occasions
Author(s) -
Kumari Priyanka,
Richa Mittal,
JongMin Kim
Publication year - 2015
Publication title -
communications for statistical applications and methods
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.326
H-Index - 6
eISSN - 2383-4757
pISSN - 2287-7843
DOI - 10.5351/csam.2015.22.5.445
Subject(s) - estimator , mathematics , statistics , population mean , multivariate statistics , population , sampling (signal processing) , rotation (mathematics) , ratio estimator , econometrics , bias of an estimator , minimum variance unbiased estimator , computer science , demography , geometry , filter (signal processing) , sociology , computer vision
This article deals with the problem of estimation of the population mean in presence of multi-auxiliary information in two occasion rotation sampling. A multivariate exponential ratio type estimator has been proposed to estimate population mean at current (second) occasion using information on p-additional auxiliary variates which are positively correlated to study variates. The theoretical properties of the proposed estimator are investigated along with the discussion of optimum replacement strategies. The worthiness of proposed estimator has been justified by comparing it to well-known recent estimators that exist in the literature of rotation sampling. Theoretical results are justified through empirical investigations and a detailed study has been done by taking different choices of the correlation coefficients. A simulation study has been conducted to show the practicability of the proposed estimator.
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