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Rodrigo de Azevedo
Rodrigo de Azevedo
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Truncation of iidi.i.d. random variables with increasing sequence of random variables

Let $X_n \geq 0$ be an iidi.i.d. sequence with all moments finite. Let $E_n \geq 0$ is abe an increasing sequence of random variables with $\lim_{n \rightarrow \infty}E_n = \infty$$\lim_{n \to \infty}E_n = \infty$. If $Y_n = min\{X_n,E_n\}$.$Y_n = \min\{X_n,E_n\}$, then is $Y_n \neq X_n$ only finitely many times.

Truncation of iid random variables with increasing sequence of random variables

Let $X_n \geq 0$ be an iid sequence with all moments finite. Let $E_n \geq 0$ is a increasing sequence of random variables with $\lim_{n \rightarrow \infty}E_n = \infty$. If $Y_n = min\{X_n,E_n\}$. then is $Y_n \neq X_n$ only finitely many times.

Truncation of i.i.d. random variables with increasing sequence of random variables

Let $X_n \geq 0$ be an i.i.d. sequence with all moments finite. Let $E_n \geq 0$ be an increasing sequence of random variables with $\lim_{n \to \infty}E_n = \infty$. If $Y_n = \min\{X_n,E_n\}$, then is $Y_n \neq X_n$ only finitely many times.

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Nubres
Nubres
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Truncation of iid random variables with increasing sequence of random variables

Let $X_n \geq 0$ be an iid sequence with all moments finite. Let $E_n \geq 0$ is a increasing sequence of random variables with $\lim_{n \rightarrow \infty}E_n = \infty$. If $Y_n = min\{X_n,E_n\}$. then is $Y_n \neq X_n$ only finitely many times.