Easily compute the Incomplete Beta Function Iโ(a,b) with our free online calculator. This vital mathematical tool is used in statistics for probability distributions, cumulative distribution functions, and Bayesian analysis, helping you solve complex problems involving proportions and probabilities. Input your values for x, a, and b to get instant results.
Formula:
The Incomplete Beta Function, denoted as Ix(a,b), is the regularized incomplete beta function. It's defined as:
Ix(a,b) = B(x; a, b) / B(a, b)
Where:
- B(x; a, b) is the incomplete beta function: โซโหฃ ta-1(1-t)b-1 dt
- B(a, b) is the complete beta function: โซโยน ta-1(1-t)b-1 dt
- x: The upper limit of integration (must be between 0 and 1, inclusive).
- a: The first shape parameter (must be > 0).
- b: The second shape parameter (must be > 0).