As you can see, the shape can take on a variety of forms based on the value of \beta\,\!.įor 0\lt \beta \leq 1 \,\!: The following figure shows the effect of different values of the shape parameter, \beta\,\!, on the shape of the pdf.
The parameter \beta\,\! is a pure number, (i.e., it is dimensionless). It is a versatile distribution that can take on the characteristics of other types of distributions, based on the value of the shape parameter, =\lambda = \,\! failure rate. The Weibull distribution is one of the most widely used lifetime distributions in reliability engineering. 8.3 Bounds on Time for Bayesian-Weibull.8.2 Bounds on Reliability for Bayesian-Weibull.8.1 Posterior Distributions for Functions of Parameters.4.1.1 Probability Plotting for the Location Parameter, Gamma.3.3 Effects of the Location Parameter, gamma.3.2 Effects of the Scale Parameter, eta.3.1 Effects of the Shape Parameter, beta.
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