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

[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)00012-1Search in Google Scholar

[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/1176993607Search in Google Scholar

[3] Johnson, N.L., Kemp, A.W. and Kotz, S., Univariate Discrete Distribution, New Jersey, 2005.10.1002/0471715816Search in Google Scholar

[4] Gertsbakh, I.B., Statistical reliability theory, probability: Pure and applied. A series of textbooks and reference books, Marcel Dekker Inc., 1989.Search in Google Scholar

[5] Kus, C. A new lifetime distribution, Computational Statistics and Data Analysis, 2007, Vol.51, No.9, p. 4497-4509.10.1016/j.csda.2006.07.017Search in Google Scholar

[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.Search in Google Scholar

[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.2012.34054Search in Google Scholar

[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.Search in Google Scholar

[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.Search in Google Scholar

[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/1177729894Search in Google Scholar