Consider the sequence of random variables with densities fXn (x)
= 1 − cos(2πnx), x ∈ (0, 1) Do Xn’s converge in distribution? Does
the sequence of densities converge?
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Consider the sequence of random variables with densities fXn (x)
= 1 − cos(2πnx), x ∈ (0, 1) Do Xn’s converge in distribution? Does
the sequence of densities converge?