S S symmetry Article Study on Lindley Distribution Accelerated Life Tests: Application and Numerical Simulation E. H. Hafez 1,*, Fathy H. Riad 2,3, Sh. A. M. Mubarak 4 and M. S. Mohamed 5,6 1 Department of Mathematics, Faculty of Science, Helwan University, P.O. Box 11731, Cairo 11795, Egypt 2 Department of Mathematics, College of Science, Jouf University, P.O. Box 2014, Sakaka 72393, Saudi Arabia;
[email protected] 3 Department of Mathematics, Faculty of Science, Minia University, Minia 61111, Egypt 4 The High Institute of Engineering and Technology, Ministry of Higher Education, El-Minia 61111, Egypt;
[email protected] 5 Department of Mathematics, College of Science, Taif University, P.O. Box 11099, Taif 21944, Saudi Arabia;
[email protected] 6 Department of Mathematics, Faculty of Science, Al-Azher University, Nasr City 11884, Egypt * Correspondence:
[email protected]; Tel.: +20-109-4506-495 Received: 18 November 2020; Accepted: 10 December 2020; Published: 15 December 2020 Abstract: Saving money and time are very important in any research project, so we must find a way to decrease the time of the experiment. This method is called the accelerated life tests (ALT) under censored samples, which is a very efficient method to reduce time, which leads to a decrease in the cost of the experiment. This research project includes inference on Lindley distribution in a simple step-stress ALT for the Type II progressive censored sample. The paper contains two major sections, which are a simulation study and a real-data application on the experimental design of an industry experiment on lamps.