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Burr-XII Distribution Parametric Estimation and Estimation of Reliability of Multicomponent Stress-Strength |
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| Authors: | G Srinivasa Rao Muhammad Aslam Debasis Kundu |
| Institution: | 1. Department of Statistics, The University of Dodoma, Dodoma, Tanzaniagaddesrao@yahoo.com;3. Department of Statistics, Forman Christian College University, Lahore, Punjab, Pakistan;4. Department of Statistics, Faculty of Sciences, King Abdulaziz University, Jeddah 21551, Saudi Arabia;5. Department of Mathematics and Statistics, Indian Institute of Technology Kanpur, Kanpur, Uttar Pradesh, India |
| Abstract: | In this paper, we estimate multicomponent stress-strength reliability by assuming Burr-XII distribution. The research methodology adopted here is to estimate the parameter using maximum likelihood estimation. Reliability is estimated using the maximum likelihood method of estimation and results are compared using the Monte Carlo simulation for small samples. Using real data sets we illustrate the procedure clearly. |
| Keywords: | Burr-XII distribution Confidence intervals ML estimation Reliability estimation Stress-strength |