The Weibull distribution is a continuous probability distribution. Its speciality is that it can fit different distribution shapes and is a favourite for time-to-failure data, a vital parameter of interest in reliability analysis. It is related to the exponential distribution. The distribution has two parameters: shape (k) and scale (lambda).
Because of the flexibility to change the shape probability distribution function by varying its key parameters, k and lambda, Weibull finds several applications. Notable among them is modelling the distribution of wind velocities.
