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Prove that central limit theorem Is applicable to a new sequence

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#random-variables #random #central-limit-theorem #characteristic-functions
176
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Martingale conditional expectation

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#probability-theory #expectation #conditional-expectation #martingales #characteristic-functions
76
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Being Y a standard normal random variable and X an independent Bernoulli random variable, what is the characteristic function of YX?

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#probability #probability-theory #characteristic-functions
65
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Characteristic function is $2k-th$ differentiable, prove $E[X^{2k}]$ exists

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#probability-theory #expectation #characteristic-functions
1.8k
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Knowing that $\phi$ is a characteristic function, show that $e^{\phi-1}$ is also a characteristic function

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#probability #characteristic-functions
231
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Characteristic function integral

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#integration #characteristic-functions
1.1k
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Expected value, from characteristic function

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#probability #probability-theory #characteristic-functions
48
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Nonstandard Extension of the Characteristic Function

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#functions #extension-field #characteristic-functions #nonstandard-analysis
116
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plot of a function containing integral

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#probability-theory #graphing-functions #characteristic-functions
263
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Why this expression is a characteristic function? (Infinitely Distributions)

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#probability-theory #characteristic-functions
110
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When does $\int \limits_{\Bbb R} f \chi_{A} \,d\lambda$ = $\lambda$($A$) hold?

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#real-analysis #integration #measure-theory #characteristic-functions
614
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Compute the characteristic function of $\mathscr{A}_t$, Lévy's area

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#stochastic-processes #stochastic-calculus #martingales #stochastic-analysis #characteristic-functions
903
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Does uniform convergence of characteristic functions hold on the whole real line?

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#probability #measure-theory #characteristic-functions
904
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Condition on characteristic function to converge in distribution to zero

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#probability #weak-convergence #characteristic-functions
2.6k
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How to check a function is positive definite?

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#real-analysis #probability-theory #fourier-analysis #fourier-transform #characteristic-functions

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