Hazard rate function weibull distribution
exponential distribution (constant hazard function). When is greater than 1, the hazard function is concave and increasing. When it is less than one, the hazard function is convex and decreasing. t h(t) Gamma > 1 = 1 < 1 Weibull Distribution: The Weibull distribution can also be viewed as a generalization of the expo- The cumulative hazard function for the Weibull is the integral of the failure rate or $$ H(t) = \left( \frac{t}{\alpha} \right)^\gamma \,\, . $$ A more general three-parameter form of the Weibull includes an additional waiting time parameter \(\mu\) (sometimes called a shift or location parameter).