Anatomy of the failure rate : A mathematical dissection
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
Author(s)
Detail(s)
| Original language | English |
|---|---|
| Pages (from-to) | 164-171 |
| Journal / Publication | Applied Stochastic Models in Business and Industry |
| Volume | 27 |
| Issue number | 2 |
| Publication status | Published - Mar 2011 |
| Externally published | Yes |
Link(s)
Abstract
The failure rate function is one of the most commonly used notion in reliability engineering and in survival analysis. The purpose of this expository paper is to point out some mathematical issues connected with this notion, a consequence of which is that under certain circumstances the famous exponentiation formula overestimates the probability of survival. To demonstrate this we point out a scenario that results in Volterra's product integrals, instead of the usual Lebesgue integral for which the exponentiation formula is exact. Copyright © 2011 John Wiley & Sons, Ltd.
Research Area(s)
- absolutely continuous distribution function, cumulative hazard, exponentiation formula, Lebesgue-Stiltjes integral, multiplication formula, product integrals, right-hand derivative
Citation Format(s)
Anatomy of the failure rate: A mathematical dissection. / Singpurwalla, Nozer D.
In: Applied Stochastic Models in Business and Industry, Vol. 27, No. 2, 03.2011, p. 164-171.
In: Applied Stochastic Models in Business and Industry, Vol. 27, No. 2, 03.2011, p. 164-171.
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
