Open Access
Table 1
Correspondence between the families of orthogonal polynomials and the distributions of the random variables.
| Random variable ξ | Polynomial family ϕ α (ξ) | Support |
|---|---|---|
| Gaussian | Hermite |
|
| Gamma | Laguerre | [0,∞) |
| Beta | Jacobi | [−1,1] |
| Uniform | Legendre | [−1,1] |
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