Rayleigh distribution is one of the continuous probability distributions applied in several areas, especially in engineering and medicine.This probability model is also widely occurred in natural phenomena.Since Rayleigh distribution is related to quantitative data, we are interested in studying interval estimation for the population mean.The methods based on Wald-type confidence interval, large-sample confidence interval, and generalized confidence intervals are used in construction.Then, the performance of the proposed confidence intervals is conducted using simulations in terms of coverage probability and expected length.The results illustrate that the novel generalized confidence interval performs better than the compared confidence intervals in all cases in the study.Finally, a real data set on the shear wave velocity of soils in Lamphun province of Thailand is used in computation, to confirm the results from simulation.
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Teawpongpan et al. (2023) studied this question.
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