Reliability properties of series and parallel systems from bivariate exponential models

Communications in Statistics - Theory and Methods

Volumn 31, Issue 12, 2002, Pages 2349-2360

  Franco, Manuel ^a   Vivo, Juana María ^a  

^a UNIVERSITY OF MURCIA   (Spain)

Author keywords

Bivariate exponential; Generalized mixture; Parallel systems; Series system

Indexed keywords

EID: 0036945985     PISSN: 03610926     EISSN: None     Source Type: Journal    
DOI: 10.1081/STA-120017229     Document Type: Article

References (11)

1. Baggs, G.E.; Nagaraja, H.N. Reliability Properties of Order Statistics from Bivariate Exponential Distributions. Commun. Statist. Stochastic Models 1996, 12, 611-631.
2. Barlow, R.E.; Proschan, F. Statistical Theory of Reliability and Life Testing: Probability Models; Holt, Rinehart, Winston, Eds.; New York, 1975.
3. Freund, J.E. A Bivariate Extension of the Exponential Distribution. J. Amer. Stat. Assoc. 1961, 56, 971-977.
4. Friday, D.S.; Patil, G.P. A Bivariate Exponential Model with Applications to Reliability and Computer Generation of Random Variables. In Theory and Applications of Reliability; Tsokos, C.P., Shimi, I., Eds.; Academic Press: New York, 1977; Vol. 1, 527-549.
5. Gumbel, E.J. Bivariate Exponential Distributions. J. Amer. Stat. Assoc. 1960, 55, 698-707.
6. Hutchinson, T.P.; Lai, C.D. Continuous Bivariate Distributions, Emphasizing Applications; Rumsby Scientific Publishing: Australia, 1990.
7. Marshall, A.W.; Olkin, I. A Multivariate Exponential Distribution. J. Amer. Stat. Assoc. 1967, 62, 30-40.
8. Nagaraja, H.N.; Baggs, G.E. Order Statistics of Bivariate Exponential Random Variables. In Statistical Theory and Applications; Nagaraja, H.N., Sen, P.K., Morrison, D.F. Eds.; Springer-Verlag: New York, 1996; 129-141.
9. Raftery, A.E. A Continuous Multivariate Exponential Distribution. Commun. Statist. Theory and Methods 1984, 13, 947-965.
10. Stetuel, F.W. Note on the Infinite Divisibility of Exponential Mixtures. Ann. Math. Statist. 1967, 38, 1303-1305.
11. Shaked, M.; Shanthikumar, G. Stochastic Orders and Their Applications; Wiley: New York, 1994.