Characterizations through reliability measures from weighted distributions

Statistical Papers

Volumn 42, Issue 3, 2001, Pages 395-402

  Navarro, J ^a   Del Aguila, Y ^b   Ruiz, J M ^a  

^a UNIVERSITY OF MURCIA   (Spain)

^b UNIVERSITY OF ALMERÍA   (Spain)

Author keywords

Characterization; Failure Rate; Mean Residual Life; Weighted and Length Biased distributions

Indexed keywords

EID: 0345775326     PISSN: 09325026     EISSN: None     Source Type: Journal    
DOI: 10.1007/s003620100066     Document Type: Article

References (11)

1. Asadi, M. (1998). Characterization of the Pearson system of distributions based on reliability measures. Statist. Papers 39, 347-360.
2. Gupta, R.C. and Keating, J.P. (1986). Relations for reliability measures under length biased sampling. Scand. J. Statist. 13, 49-56.
3. Gupta, R.C. and Kirmani, S.N.U.A. (1990). The role of weighted distributions in stochastic modeling. Comm. Statist. Theory Methods 19 (9), 3147-3162.
4. Jain, K., Singh, H. and Bagai, I. (1989). Relations for Reliability Measures of weighted distributions. Comm. Statist. Theory Methods 18 (12), 4393-4412.
5. Kotz, S. and Shanbhag, D.N. (1980). Some new approaches to probability distributions. Adv. Appl. Probab. 12, 903-921.
6. Nair, N.U. and Sankaran, P.G. (1991). Characterization of the Pearson system of distributions. IEEE Trans. Reliability 40, 75-77.
7. Patil, G.P. and Rao, C.R. (1977). Weighted distributions: A survey of their applications. In Applications of Statistics, P.R. Krishniah, Ed. North Holland Publishing Co., 383-405.
8. Rao, C.R. (1965). On discrete distributions arising out of methods of ascertainment. Sankhya A 27, 311-324.
9. Ruiz, J.M. and Navarro, J. (1994). Characterizations of distributions by relationships between failure rate and mean residual life. IEEE Trans. Reliability 43, 640-644.
10. Vartak, M.N. (1974). Characterization of certain classes of probability distributions. J. Indian Statist. Assoc. 12, 67-74.
11. Zoroa, P., Ruiz, J.M. and Marin, J. (1990). A characterization based on conditional expectations. Comm. Statist. Theory Methods 19 (8), 3127-3135.