Reliability bounds on HNBUE life distributions with known first two moments |
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| Institution: | 1. College of Business Administration, Hongik University, Seoul, South Korea;2. Department of Industrial and Systems Engineering, Rutgers University, Piscataway NJ08854, USA;1. Department of Information Management, School of Business and Management, Donghua University, Shanghai, China;2. Department of Industrial & Systems Engineering, University of Tennessee-Knoxville, TN, USA;3. Department of Industrial Engineering, University of Pittsburgh, PA, USA |
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| Abstract: | In this paper, we study upper and lower bounds for the reliability function in harmonic new better than used in expectation (HNBUE) life distribution class with known first two moments. Here we say a life distribution has HNBUE property if the integral harmonic mean value of the residual life in any interval 0,t] is no more than its mean. By a constructive proof, we determine the lower and upper reliability bounds analytically and show that these bounds are all sharp. |
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