Continuous Mixtures of Exponentials and IFR Gammas Having Bathtub-Shaped Failure Rates
| Autor: | Naftali A. Langberg, Thomas H. Savits, Henry W. Block, Jie Wang |
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| Rok vydání: | 2010 |
| Předmět: |
Statistics and Probability
Exponential distribution Yield (engineering) Bathtub General Mathematics 010102 general mathematics Failure rate Mechanics 01 natural sciences Exponential function 010104 statistics & probability Distribution function Statistics Gamma distribution 0101 mathematics Statistics Probability and Uncertainty Rate function Mathematics |
| Zdroj: | Journal of Applied Probability. 47:899-907 |
| ISSN: | 1475-6072 0021-9002 |
| DOI: | 10.1017/s0021900200007245 |
| Popis: | It can be seen that a mixture of an exponential distribution and a gamma distribution with increasing failure rate for the right choice of parameters can yield a distribution with a bathtub-shaped failure rate. In this paper we consider a continuous mixture of exponentials and a continuous mixture of gammas with increasing failure rates and show that the resulting mixture has a bathtub-shaped failure rate. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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