Cumulative Damage Threshold Crossing Models.
FLORIDA STATE UNIV TALLAHASSEE DEPT OF STATISTICS
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This paper describes a model for survival functions called the cumulative damage threshold crossing model. Under this model, an item, consisting of a large number of components which suffer damage at regular moments of time, fails as soon as the maximum cumulative damage to some component crosses a certain threshold. Under various conditions on the damage distribution, two plausible new survival distributions arise. One survival function is shown to fit several data sets in the area of cancer studies, failure times of insulating fluids and failure times of air conditioning units.
- Statistics and Probability