Sankhya: The Indian Journal of Statistics
1994, Volume 56, Series B, Pt. 3 , pp. 323--333
ON ESTIMATION OF A LOGNORMAL MEAN USING A RANKED SET SAMPLE
WEI-HSIUNG SHENTA, Tunghai University
SUMMARY. When the experimental or sampling units in a study can be more easily ranked than quantified, McIntyre (1952) observed that to estimate the population mean, the mean of $n$ units based on a ranked set sample (RSS) provides an unbiased estimator with a smaller variance compared to a simple random sample of the same size $n$. In this paper we further explore the concept of RSS for the problem of estimation of a lognormal mean with a known coefficient of variation, and show that the use of RSS and its suitable modifications results in much improved estimators compared to the use of a simple random sample.
AMS (1991) subject classification. Primary 62G05; secondary 62G30.
Key words and phrases. Lognormal distribution, order statistics, ranked set sample, sample median, simple random sample, uniformly minimum variance unbiased estimator.
Full paper (PDF)
This article in mathematical reviews.