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Lifetime Distributions and their Approximation in Reliability of Serial/Parallel Networks Cover

Lifetime Distributions and their Approximation in Reliability of Serial/Parallel Networks

Open Access
|Sep 2020

References

  1. [1] Adamidis K. and Loukas S., A Lifetime Distribution with Decreasing Failure Rate, Statistics and Probability Letters, Vol. 39, No. 1, 1998, pp. 35-42.10.1016/S0167-7152(98)00012-1
  2. [2] Brown, M., Approximating IMRL distribution by exponential distribution, with applications to the first passage time, Ann. Prob., 1983, Vol. 11, p. 419-427.10.1214/aop/1176993607
  3. [3] Johnson, N.L., Kemp, A.W. and Kotz, S., Univariate Discrete Distribution, New Jersey, 2005.10.1002/0471715816
  4. [4] Gertsbakh, I.B., Statistical reliability theory, probability: Pure and applied. A series of textbooks and reference books, Marcel Dekker Inc., 1989.
  5. [5] Kus, C. A new lifetime distribution, Computational Statistics and Data Analysis, 2007, Vol.51, No.9, p. 4497-4509.10.1016/j.csda.2006.07.017
  6. [6] Leahu, A., Munteanu, B. Gh., Cataranciuc, S., On the lifetime as the maximum or minimum of the sample with power series distributed size, Romai J., 2013, Vol.9, No.2, p. 119-128.
  7. [7] Louzada, F., Bereta, M.P.E., Franco, M.A.P., On the Distribution of the Minimum or Maximum of a Random Number of i.i.d. Lifetime Random Variables, Applied Mathematics, 2012, Vol.3, No.4, p. 350-353.10.4236/am.2012.34054
  8. [8] Munteanu, B. Gh., Leahu, A., Cataranciuc, S., On The Limit Theorem For The Life Time Distribution Connected With Some Reliability Systems And Their Validation By Means Of The Monte Carlo Method, American Institute of Physics Conference Proceedings, 2013, Vol. 1557, p. 582-588.
  9. [9] Munteanu, B. Gh., Asupra convoluţiilor de tip serie de puteri în caz discret, Studia Universitatis, seria Ştiinţe Exacte şi Economice, 2013, No.7(67), p. 28-35.
  10. [10] Noack, A., A class of random variables with discrete distribution, Annals of Mathematical Statistics, 1950, Vol.21, No.1, p. 127-132.10.1214/aoms/1177729894
DOI: https://doi.org/10.2478/auom-2020-0025 | Journal eISSN: 1844-0835 | Journal ISSN: 1224-1784
Language: English
Page range: 161 - 172
Submitted on: May 20, 2019
Accepted on: Sep 24, 2019
Published on: Sep 22, 2020
Published by: Ovidius University of Constanta
In partnership with: Paradigm Publishing Services
Publication frequency: 3 issues per year

© 2020 Alexei Leahu, Veronica Andrievschi-Bagrin, published by Ovidius University of Constanta
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.