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Need Help Interpreting the Sturm-Liouville Operator

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#boundary-value-problem #characteristic-functions #eigenfunctions #sturm-liouville
80
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Check Characteristic function

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#characteristic-functions
1.5k
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Convergence in distribution of sum of Bernoulli distributed random variables.

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#probability-theory #probability-distributions #poisson-distribution #binomial-distribution #characteristic-functions
51
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Qualitative interpretation of PDF and its Characteristic function

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#probability-distributions #characteristic-functions
98
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Characteristic Function and Generalized Binomial Theorem

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#binomial-theorem #characteristic-functions
54
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Question about Continuity of Characteristic Function

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#real-analysis #characteristic-functions
101
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If $(A + I_n)^m = 0$, show that $A$ is invertible and find $\det(A)$

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#linear-algebra #matrices #determinant #characteristic-functions #minimal-polynomials
36
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A Question on Convergence in Probability of Conditional Characteristic Functions

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#characteristic-functions #conditional-convergence
125
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Show that $XY^{1/\alpha}$ is stable with index $\alpha \beta$

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#probability-theory #random-variables #characteristic-functions
139
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With $X \sim Unif(0,1)$ what is the limit of $\frac{n}{x_1^{-1} + \cdots + x_n^{-1}}$

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#probability #characteristic-functions #law-of-large-numbers
151
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Mean of zero mean random variables has Cauchy-Lorentz distribution under constraints on the characteristic function

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#probability #probability-theory #characteristic-functions
685
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Characteristic functions total in $L^2$?

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#functional-analysis #lp-spaces #characteristic-functions
673
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Can the characteristic function of $\phi(t)$ satisfying $\phi(t)=\phi^2\left(\frac{t}{\sqrt{2}}\right)$ conclude it as C.F. of normal distribution?

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#probability-theory #probability-distributions #characteristic-functions
281
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Mean of two i.i.d. random variables follows the same distribution, Cauchy distribution?

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#probability-theory #functional-equations #characteristic-functions
133
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Durrett's book Inversion Formula (Theorem 3.3.4)

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

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