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Convergence of Random Variables

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sacamantecas
 
Reply Mon 13 Oct, 2014 02:32 pm
Hello all. I have a two statements. One says

-1/T Sum X_t - a converges in probability to 0 as T approaches infinity (sum from t=1 to T)

The other:

-1/g(T) Sum X_t -a converges in probability to 0 as g(T) approaches infinity (sum from t=1 to g(T)) for g: N to N: g(T) approaches infinity as T approaches infinity.

Why are those two statements equivalent for random sequence X_t?
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