Consider the beta distribution with parameters (a, b). Show that a. When a > 1 and b
Question:
Consider the beta distribution with parameters (a, b). Show that
a. When a > 1 and b > 1, the density is unimodal (that is, it has a unique mode) with mode equal to (a - 1)/(a +b - 2);
b. When a ≤ 1, b ≤ 1, and a + b < 2, the density is either unimodal with mode at 0 or 1 or U-shaped with modes at both 0 and 1;
c. When a = 1 = b, all points in [0, 1] are modes.
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a When a 1 and b 1 the beta distribution is given by the probability density function fx xa11xb1Bab ...View the full answer
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