List questions from characteristic-functions

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Positive-definite + continuous at 0 $\Rightarrow$ continuous?

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Is $\exp(-2\sin^2t)$ a characteristic function?

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How to show that $\delta_{x_n}\xrightarrow{w}\delta_{x} \iff x_n \to x$

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What is meant by Stable Law?

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Computing the characteristic function of a normal random vector

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Recovering pmf from characteristic function

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A linear combination of characteristic functions is a characteristic function?

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Clarification of Proof on Kac's Theorem for Characteristic Functions

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By an example, show that..

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On the characteristics function of smooth compactly supported distributions

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Show that two sums have the same distribution?

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Order Statistics interval sizes

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Mean Absolute Deviation for a Stable Distribution as a Function of the Tail Exponent

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Recognize the distribution corresponding to this characteristic function

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List Question

characteristic function of $\sum_i^N X_i$, $N$ is a Poisson distribution

Positive-definite + continuous at 0 $\Rightarrow$ continuous?

Is $\exp(-2\sin^2t)$ a characteristic function?

How to show that $\delta_{x_n}\xrightarrow{w}\delta_{x} \iff x_n \to x$

What is meant by Stable Law?

Computing the characteristic function of a normal random vector

Recovering pmf from characteristic function

A linear combination of characteristic functions is a characteristic function?

Clarification of Proof on Kac's Theorem for Characteristic Functions

By an example, show that..

On the characteristics function of smooth compactly supported distributions

Show that two sums have the same distribution?

Order Statistics interval sizes

Mean Absolute Deviation for a Stable Distribution as a Function of the Tail Exponent

Recognize the distribution corresponding to this characteristic function

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