On Simple Confidence Intervals for the Normal Mean with Known Coefficient of Variation
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چکیده
In this paper we proposed the new confidence interval for the normal population mean with a known coefficient of variation. In practice, this situation occurs normally in environment and agriculture sciences where we know the standard deviation is proportional to the mean. As a result, the coefficient of variation of is known. We propose the new confidence interval based on the best unbiased estimator for the population mean in the sense of minimum variance and this new confidence interval will compare with the existing confidence interval. We derive analytic expressions for the coverage probability and the expected length of each confidence interval. A numerical method will be used to assess the performance of these intervals based on their expected lengths. length, known coefficient of variation.
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تاریخ انتشار 2013