The Mixed Weibull Distribution Notes

The Mixed Weibull Distribution

The Mixed Weibull Distribution

The mixed Weibull distribution is commonly used for modeling the behavior of components or systems exhibiting multiple failure modes (mixed populations). It gives the global picture of the life of a product by mixing different Weibull distributions for different stages of the product’s life and is defined by:

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where the value of 9fe1e9487c4a538f98d385e390785b8d is equal to the number of subpopulations. Note that this results in a total of 890ac4439750dcb3ae6ebb537b845c69 parameters. In other words, each population has a portion or mixing weight for the 8324776f65e97759e0bf4a4a3faee758 population, a 0f3d7d7285de3ff0e29b396e70f707b9, or shape parameter for the 8324776f65e97759e0bf4a4a3faee758 population and or scale parameter bf80c9fcbda92531c05763a948128a08 for 8324776f65e97759e0bf4a4a3faee758 population. Note that the parameters are reduced to 890ac4439750dcb3ae6ebb537b845c69, given the fact that the following condition can also be used:

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The mixed Weibull distribution and its characteristics are presented in The Mixed Weibull Distribution.

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