Weibull distribution cdf

Question

I need to calculate weibull distribution using jquery. The formula used by me is mentioned below:

If my X process follows a Weibull distribution which has parameters alpha, beta, and gamma, what is the probability of getting an outcome less than or equal to a particular value x?" The values of alpha, beta, gamma, and x are all inputs to the function, and the output is a probability.

I need some clarification regards how to calculate those three parameters (alpha, beta & gamma). Is there any specific formula to calculate those parameters? I've searched a lot but still didn't get any idea.

Is there any jquery plugin?

Answer 1

From the wording of your question, I get the impression that you don't actually understand what a cumulative distribution function is. In your case, it says "If my X process follows a Weibull distribution which has parameters alpha, beta, and gamma, what is the probability of getting an outcome less than or equal to a particular value x?" The values of alpha, beta, gamma, and x are all inputs to the function, and the output is a probability.

If you have observations of a real-world process you are trying to model, you can try to estimate the parameters based on your data using a variety of distribution fitting techniques.