| 1. Alimohammadi, M., Alamatsaz, M.H. and Cramer, E. (2016), Convolutions and Generalization of Logconcavity: Implications and Applications, Naval Research Logistics, 63(2), 109-123. [DOI:10.1002/nav.21679 ] 2. Alimohammadi, M., Balakrishnan, N. and Simon, T. (2024), An Inequality for Log-concave Functions and Its Use in the Study of Failure Rates, Probability in the Engineering and Informational Sciences, 38(4), 695-704. [DOI:10.1017/S0269964824000056 ] 3. Alimohammadi, M. and Navarro, J. (2024), Resolving an Old Problem on the Preservation of the IFR Property Under the Formation of k-out-of-n Systems with Discrete Distributions, Journal of Applied Probability, 61(2), 644-653. [DOI:10.1017/jpr.2023.63 ] 4. Barlow, R.E. and Proschan, F. (1975), Statistical Theory of Reliability and Life Testing, New York: Holt, Rinehart and Winston. 5. David, H.A. and Nagaraja, H.N. (2004), Order Statistics, John Wiley & Sons. [DOI:10.1002/0471667196.ess6023 ] 6. Dembińska, A. (2018), On Reliability Analysis of k-out-of-n Systems Consisting of Heterogeneous Components with Discrete Lifetimes, IEEE Transactions on Reliability, 67(3), 1071-1083. [DOI:10.1109/TR.2018.2837080 ] 7. Esary, J.D. and Proschan, F. (1963), Relationship Between System Failure Rate and Component Failure Rates, Technometrics, 5(2), 183-189. [DOI:10.1080/00401706.1963.10490074 ] 8. Rockafellar, R. (1970), Convex Analysis, Princeton University Press, New Jersey. [DOI:10.1515/9781400873173 ] 9. Roy, D. and Gupta, R.P. (1992), Classifications of Discrete Lives, Microelectronics Reliability, 32(10), 1459-1473. [DOI:10.1016/0026-2714(92)90015-D ] 10. Shaked, M., Shanthikumar, J.G., and Valdez-Torres, J.B. (1995), Discrete Hazard Rate Functions, Computers & Operations Research, 22(4), 391-402. [DOI:10.1016/0305-0548(94)00048-D ]  |