One Dimensional Distributions
نویسنده
چکیده
• For a discrete RV the mass function is pX(x) = P (X = x). The continuous analog is the probability density function (pdf) that may be interpreted as fX(x) ≈ P (x < X < x+ ∆)/∆ as 0 < ∆→ 0. • The cumulative distribution function (cdf) FX(x) = P (X ≤ x) is the probability that X is less than or equal to a specific value. In the continuous case we have fX(x) = dFX(x)/dx and FX(x) = ∫ x −∞ fX(r)dr. • The quantile function (qf) QX(r) = F−1 X (r) is the inverse of the cdf. QX(r) is the x value at which P (X ≤ x) = r (or the minimal such value if F is not one to one).
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