Abstract
In this study, we propose a simple robust test for the mean of an exponential distribution by using the simplified version of “Forward Search” (FS) method. The FS method is a powerful general method for identifying outliers and their effects on inferences about the hypothesized model. The simulation studies indicate robustness of the testing method and the ability of the procedure to capture the structure of data. Results are presented through the plots which are powerful in revealing the structure of the data.
Highlights
The exponential distribution has an essential role in a variety of applications in reliability engineering and life testing problems
The Forward Search (FS) approach is a powerful general method that provides diagnostic plots for finding outliers and discovering their underlying effects on models fitted to the data and for assessing the adequacy of the model
The outliers enter the model in the last steps and the entrance point of the outliers can be revealed by monitoring some statistics of interest during the process
Summary
The exponential distribution has an essential role in a variety of applications in reliability engineering and life testing problems. The exponential hazard rate is constant and the estimation and test theory can be detailed for the exponential model, the mean of this distribution is an important characteristic that is often of interest to an experimenter. The Forward Search (FS) approach is a powerful general method that provides diagnostic plots for finding outliers and discovering their underlying effects on models fitted to the data and for assessing the adequacy of the model. The method increases the subset size by using some measure of closeness to the fitted model until all the data are fitted. The purpose of this article is to adopt the simplified version of FS method in testing the mean of an exponential distribution.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
