An aging concept based on majorization

Probability in the Engineering and Informational Sciences

Volumn 17, Issue 1, 2003, Pages 107-117

  Fernandez Ponce J M ^a   Suarez Llorens A ^b  

^a UNIVERSITY OF SEVILLE   (Spain)

^b UNIVERSITY OF CÁDIZ   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

ENGINEERING; INDUSTRIAL ENGINEERING;

CONCEPT-BASED; EQUIVALENCE TO; THOMPSON; UNIMODAL DISTRIBUTION; UNIMODALITY;

DISPERSIONS;

EID: 0037249548     PISSN: 02699648     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0269964803171069     Document Type: Article

References (12)

1. Averous, J., Fougéres, L., & Meste, M. (1996). Tailweight with respect to the mode for unimodal distributions. Statistics and Probability Letters 28: 367-373.
2. Barlow, R.E. & Proschan, F. (1975). Statistical theory of reliability and life testing: Probability models. New York: Holt, Rinehart & Winston.
3. Götze, F. & Zaitsev, A.Yu. (1998). Estimates for the rapid decay of concentration functions of n-fold convolutions. Journal of Theoretical Probability 11(3): 715-731.
4. Hickey, R.J. (1984). Continuous majorisation and randomness. Journal of Applied Probability 21: 924-929.
5. Hickey, R.J. (1986). Concepts of dispersion in distributions: A comparative note. Journal of Applied Probability 23: 914-921.
6. Lewis, T. & Thompson, J.W. (1981). Dispersive distributions and the connection between dispersivity and strong unimodality. Journal of Applied Probability 18: 76-90.
7. Muñoz-Pérez, J. (1990). Dispersive ordering by the spread function. Statistics and Probability Letters 10: 407-410.
8. Pellerey, F. & Shaked, M. (1997). Characterizations of the IFR and DFR aging notions by means of the dispersive order. Statistics and Probability Letters 33: 389-393.
9. Rojo, J. & Guo, Z.H. (1991). New properties and characterizations of the dispersive ordering. Statistics and Probability Letters 11: 365-372.
10. Shaked, M. (1982). Dispersive ordering of distributions. Journal of Applied Probability 19: 310-320.
11. Shaked, M. & Shanthikumar, J.G. (1994). Stochastic orders and their applications. San Diego, CA: Academic Press.
12. Sudhakar, D. & Kumar, J. (1988). Unimodality, convexity, and applications. San Diego, CA: Academic Press.