Leave $ φ_n $ Be a sequence of characteristic functions. We know that converge at each point of a not empty
open interval around 0 yet function $ φ which is also continued at 0.
Can you say that the sequence
of the distribution functions corresponding to $ φ_n $They are tight
I am aware of the test of a different version where convergence occurs in the entire real line. But what to do in this case?
