Question

1. In cases (a) -(e) below, determine if convergence in distribution takes place for the respective sequences of RVs {Xn) as noo. If it does, find thoe limiting distribution. Explain your answers. (a) X U(0, (cos n)2) (the uniform distributions on the intervals shown) (b) ~ γ(1, ln n) (the garnma distributions; parameters: shape/scale). (c) XnU(v,). d X(normal distributions). (e) Xn (,-P1 (the mixture distribution of the resp. uniform and Poisson distributions, with the weights as shown). n+1 +1 Vn

Answer 1

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