The monotonicity of the reliability measures of the beta distribution

Applied Mathematics Letters

Volumn 13, Issue 5, 2000, Pages 5-9

  Gupta, P L ^a   Gupta, R C ^a  

^a UNIVERSITY OF MAINE   (United States)

Author keywords

Failure rate; Mean residual life function; Turning point

Indexed keywords

EID: 11444250533     PISSN: 08939659     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0893-9659(00)00025-2     Document Type: Article

References (10)

1. Barlow R.E., Proschan F. Statistical Theory of Reliability and Life Testing: Probability Models. 1975;Holt. Rinehart and Winston, New York.
2. Ganter W.A. Comment on: Reliability of modified designs: A Bayes analysis of an accelerated test of electronic assemblies. IEEE Transactions on Reliability. 39:(5):1990;520-522.
3. Glaser R.E. Bath tub and related failure rate chracterizations. Journal of the American Statistical Association. 75:(371):1980;667-672.
4. Guess F., Proschan F. Mean residual life: Theory and applications. Krishnaiah P.R. Handbook of Statistics. 1988;215-224 North Holland, Amsterdam.
5. Gupta R.C., Akman O. Mean residual life function for certain types of nonmonotonic ageing. Stochastic Models. 11:(1):1995;219-225.
6. Gupta R.C., Akman O. On the reliability studies of weighted inverse Gaussian model. Journal of Statistical Planning and Inference. 48:1995;69-83.
7. Gupta R.C., Kirmani S.N.U.A. Residual life function in reliability studies. Basu A.P., Basu S.K., Mukhopadhyay S. Frontiers in Reliability. 1998;175-190 World Scientific, NJ.
8. R.C. Gupta and R. Warren, Determination of change points of nonmonotonic failure rate, (submitted).
9. Pham T.G., Turkkan N. Reliability of a standby system with beta distributed component lives. IEEE Transactions on Reliability. 43:(1):1994;71-75.
10. Zelterman D. A statistical distribution with an unbounded hazard function and its applications to a theory from demography. Biometrics. 48:1992;807-818.