In this paper, the estimation of stress–strength reliability is taken into account when stress and strength variables have unit Gompertz distributions with a similar scale parameter. The consideration distribution in context because its intriguing symmetric asymmetric properties that can accommodate various histogram proportional-type data shapes. As main contribution, estimate determined via s...

In this paper, the estimation of the unknown parameters of the kumaraswamy distribution is considered using both simple random sampling (SRS) and ranked set sampling (RSS) techniques. The estimation is based on maximum likelihood estimation and Bayesian estimation methods. A simulation study is made to compare the resultant estimators in terms of their biases and mean square errors. The efficie...

The statistical performance of parametric control charts is questionable when the underlying process does not follow any specified probability distribution. Nonparametric are best substitute for this situation. On other hand, ranked set sampling technique preferred over simple random because it reduces variability parameters and improves chart’s performance. This study aims to offer a nonparame...

The estimation of the difference of means of two variables is studied when missing observations are present. The model follows the approach proposed in the paper of Bouza and Prabhu-Ajgaonkar [1993, Biometrical J., v.35, p.245-252] when simple random sampling is the design used for selecting samples and sub-samples. In this paper, a ranked set-sampling counterpart is developed. Their sample err...