On stochastic inequalities and comparisons of reliability measures for weighted distributions

Mathematical Problems in Engineering

Volumn 8, Issue 1, 2002, Pages 1-13

  Oluyede, Broderick O ^a   Olusegun George, E ^b  

^a GEORGIA SOUTHERN UNIVERSITY   (United States)

^b University of Memphis   (United States)

Author keywords

Life distribution; Reliability functions; Residual life function; Weight function

Indexed keywords

FAILURE ANALYSIS; LIFE CYCLE; PROBABILITY DENSITY FUNCTION; RANDOM PROCESSES; RELIABILITY; SAMPLING;

RESIDUAL LIFE FUNCTIONS; WEIGHTED DISTRIBUTIONS;

PROBABILITY DISTRIBUTIONS;

EID: 0036486761     PISSN: 1024123X     EISSN: None     Source Type: Journal    
DOI: 10.1080/10241230211380     Document Type: Article

References (11)

1. Alzaid, A.A. (1994) Ageing concepts for items of unknown age, Commun. Statist.-Stoch. Mod., 10, 649-659; With correction in (1997) Commun. Statist.-Stoch. Mod., 13, 203.
2. Alzaid, A.A. (1994) Ageing concepts for items of unknown age, Commun. Statist.-Stoch. Mod., 10, 649-659; With correction in (1997) Commun. Statist.-Stoch. Mod., 13, 203.
3. Barcelli, F. and Makowski, A.M. (1989) Multidimensional stochastic ordering and associated random variables, Operat. Res., 37, 478-487.
4. Barlow, R., Marshall, A.W. and Proschan, F. (1963) Properties of probability distributions with monotone hazard rate, Ann. Math. Statist., 34, 375-389.
5. Bhattacharjee, M.C. (1986) Tail behaviour of age-smooth failure distributions and applications, Reliability and Quality Control (A.P. Basu, Ed.), Elsevier Science Publ.
6. Blumenthal, S. (1967) Proportional sampling in life-length studies, Technometrics, 9, 205-218.
7. Gupta, R.C. and Keating, J.P. (1985) Relations for reliability measures under length-biased sampling, Scand. J. Statist., 13, 49-56.
8. Loh, W.-Y. (1984) Some generalization of the class of NBU distributions, IEEE Trans. Reliability, 33, 419-422.
9. Patil, G.P. and Ord, J.K. (1976) On size-biased sampling and related form-invariant weighted distributions, Sankhya B, 38, 48-61.
10. Patil, G.P. and Rao, C.R. (1977) The weighted distributions: A survey and their applications, In: Krishnaiah, P.R. (Ed.), Applications of Statistics (pp. 385-405). North-Holland Publishing Co.
11. Patil, G.P. and Rao, C.R. (1978) Weighted distributions and size-biased sampling with applications to wild-life populations and human families, Biometrics, 34, 179-189.