Abstract
In this paper we introduce and study a family of univariate stochastic orders parameterized by a function h. The usual stochastic order ≤st, and the total time on test transform order ≤ttt, are special cases of this new family. We study some properties of the new family, and we give some applications of it in actuarial science, reliability theory, and statistics.
Original language | English |
---|---|
Pages (from-to) | 3601-3610 |
Number of pages | 10 |
Journal | Journal of Statistical Planning and Inference |
Volume | 137 |
Issue number | 11 |
DOIs | |
State | Published - 1 Nov 2007 |
Keywords
- Coherent system
- Dispersive order
- Distortion function
- Lehmann's alternatives
- Location independent riskier order
- Premium
- Proportional hazards
- Reliability function
- Total time on test transform