meta user
network profile
| bio | website | |
|---|---|---|
| location | Hong Kong | |
| age | ||
| visits | member for | 9 months |
| seen | May 11 at 16:16 | |
| stats | profile views | 41 |
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Mar 20 |
comment |
The coefficients in the inverse of unit lower triangular Toeplitz matrix Thank you @AcidFlask. I will check it later. Thanks for the help. |
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Nov 26 |
comment |
Try to find an approximation by logarithm function. Thank you for your answer. I know using Matlab can help me to find the numerical result. But I hope to find the closed form solution of $c_1$ and $c_2$ w.r.t. $c$ and $z$. I am not sure whether Matlab could do that? |
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Nov 21 |
comment |
Try to find an approximation by logarithm function. Well, thank you for your reply. I used Matlab and find that $f(x)$ can be approximated by $g(x)=c_1\log_{10}(x)+c_2$. Now the difficulty is to find the $c_1$ and $c_2$ by using $c$ and $z$. I will check the chapter you mentioned. Thank you. And do you have any further suggestions? |
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Nov 20 |
revised |
Try to find an approximation by logarithm function. added 28 characters in body |
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Nov 11 |
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To obtain the closed-form expression of CDF and PDF from the recurrence relation And I have no idea how to use this $b_i$ in $G(z)$ or the recurrence form....Sigh... |
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Nov 11 |
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To obtain the closed-form expression of CDF and PDF from the recurrence relation Wow, it is a mistake, sorry. It should be $\gamma^{-1}$. Thank you so much. Let me rewrite it: $b_i=\gamma^\delta \int_{\gamma^{-1}}^{\infty}\frac{\delta x^\delta}{\left(1+x\right)^{i+1}}dx$ for $i\geq1$, where $\gamma>0$ and $0<\delta<1$. |
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Nov 11 |
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To obtain the closed-form expression of CDF and PDF from the recurrence relation Hi @did, the expression of $b_i$ is $b_i=\gamma^{\delta}\int_{\gamma^{-\delta}}^{\infty}\frac{\delta x^{\delta}}{\left(1+x\right)^{i+1}}dx$ for $i\geq 1$, where $\gamma>0$ and $0<\delta<1$. But I am not sure whether it is helpful. Thank you~~ |
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Nov 11 |
revised |
To obtain the closed-form expression of CDF and PDF from the recurrence relation added 271 characters in body; edited tags |
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Nov 11 |
asked | To obtain the closed-form expression of CDF and PDF from the recurrence relation |
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Nov 10 |
revised |
Try to find an approximation by logarithm function. added 23 characters in body; edited tags |
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Nov 6 |
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Try to find an approximation by logarithm function. @Emmad Kareem, thank you for your reply. So, do you have any clues on this? |
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Nov 5 |
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Try to find an approximation by logarithm function. @Emmad Kareem, thank you for your reply. Could you explain in more detail? I know that when $x\rightarrow0$ or $x\rightarrow\infty$, $f(x)$ is linear with $x$. But I don't understand how you get the linearity near $x=1$. |
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Nov 5 |
comment |
Try to find an approximation by logarithm function. It is a function of $x$. $c$ and $z$ are constant. |
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Nov 5 |
revised |
Try to find an approximation by logarithm function. added 23 characters in body |
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Nov 1 |
awarded | Tumbleweed |
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Oct 29 |
revised |
Try to find an approximation by logarithm function. added 28 characters in body; edited title |
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Oct 25 |
asked | Try to find an approximation by logarithm function. |
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Oct 4 |
accepted | How to judge a discrete function is convex or not? |
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Sep 19 |
asked | How to judge a discrete function is convex or not? |
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Sep 18 |
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A limitation related to multinomial distribution. Thanks so much~~~I may need some time but I think can solve the remaining problems. Your idea of setting up $F(a,u)$ and the following analysis is really remarkable. Thank you~~ |
