Abstract
In environmental monitoring and assessment, the main focus is to achieve observational economy and to collect data with unbiased, efficient and cost-effective sampling methods. Ranked set sampling (RSS) is one traditional method that is mostly used for accomplishing observational economy. In this article, we suggested new sampling method called median double ranked set sampling (MDRSS). The newly suggested sampling method MDRSS is compare to the simple random sampling (SRS), RSS, double ranked set sampling (DRSS), median ranked set sampling (MRSS). When the underlying distributions are symmetric and asymmetric, it is shown that, the variance of the mean estimator under MDRSS is always less than the variance of the mean estimator based on SRS and the other methods.
Highlights
There are many sampling methods that can be used in surveys of natural resources in Agriculture, Biology, Environmental Management, Forestry, etc
Underlying the symmetric distributions, the population mean estimator using double ranked set sampling (DRSS) is more efficient than ranked set sampling (RSS) and median ranked set sampling (MRSS)
Underlying the asymmetric distributions, the population mean estimator using MRSS is more efficient than DRSS and RSS
Summary
There are many sampling methods that can be used in surveys of natural resources in Agriculture, Biology, Environmental Management, Forestry, etc. One method is ranked set sampling (RSS). Muttlak (1997) suggested us ing median ranked set sampling method (MRSS) to estimate the population mean and he showed that it is more efficiently than the usual RSS method. Al-Saleh and Al-Kadiri (2000) suggested double ranked set sampling method (DRSS) for estimating the population mean and they showed that the sample mean based on DRSS is more efficient than the sample mean with RSS. The newly suggested sampling method (MDRSS) is compared with RSS, MRSS and DRSS. It is shown that for the probability distributions considered in this study, MDRSS unbiased estimator has less variance than all the other methods. Computer simulation results are given to compare the efficiency for the es timators based on SRS with its counterparts RSS, MRSS, DRSS and MDRSS
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