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

By

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.

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This article in mathematical reviews.