Estimation of a parameter of Morgenstern type bivariate exponential distribution by ranked set sampling

Ranked set sampling is applicable whenever ranking of a set of sampling units can be done easily by a judgement method or based on the measurement of an auxiliary variable on the units selected. In this work, we consider ranked set sampling, in which ranking of units are done based on measurements m...

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Bibliographic Details
Published in:Annals of the Institute of Statistical Mathematics 2008-06, Vol.60 (2), p.301-318
Main Authors: Chacko, Manoj, Thomas, P. Yageen
Format: Article
Language:English
Subjects:
Economics
Estimating techniques
Finance
Insurance
Management
Mathematics
Mathematics and Statistics
Normal distribution
Oil pollution
Parameter estimation
Random variables
Sampling techniques
Statistical methods
Statistics
Statistics for Business
Studies
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Summary:Ranked set sampling is applicable whenever ranking of a set of sampling units can be done easily by a judgement method or based on the measurement of an auxiliary variable on the units selected. In this work, we consider ranked set sampling, in which ranking of units are done based on measurements made on an easily and exactly measurable auxiliary variable X which is correlated with the study variable Y . We then estimate the mean of the study variate Y by the BLUE based on the measurements made on the units of the ranked set sampling regarding the study variable Y , when ( X , Y ) follows a Morgenstern type bivariate exponential distribution. We then consider unbalanced multistage ranked set sampling and estimate the mean of the study variate Y by the BLUE based on the observations made on the units of multistage ranked set sample regarding the study variable Y . Efficiency comparison is also made on all estimators considered in this work.
ISSN:0020-3157
1572-9052
DOI:10.1007/s10463-006-0088-y