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# Questions tagged [taylor-series]

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### Taylor approximation for function of a random variable [closed]

There is a function $f$ whose domain is the space of CDFs on $\mathbb{R}_+$ and whose range is $[0,1]$, e.g. $f$ maps a CDF on to a real number. Further, $f$ is continuous, increasing with respect to ...
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### Please can someone explain the notation of this multivariate Taylor expansion?

Kamanzi-wa-Binyavanga, 2009, wrote the following paper, Calculating Cumulants of a Taylor Expansion of a Multivariate Function: What I am confused about, is how precise the notation. I understand ...
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### Proof that ML Estimator is asymptotically Normal

I'm trying to prove that the Maximum Likelihood Estimator is Asymptotically Normal distributed. I'm stuck in the lasts steps. Here's what I've done: I do the Taylor's expansion of, that's the mean of ...
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### Jaynes Probability theory 4.70 （Different answers with Jaynes when using Taylor power series.)

I have read this derivation. $$L(f)\equiv{lng(f|DX)}=nln(f)+(N-n)ln(1-f)+const \;(4.69)$$ expand L(f) in a power series about $\hat{f}$.The first terms as L(f) = L(\hat{f}) - \frac{(f-\hat{f})^2}{2\...
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### Taylor expansion in xgboost [duplicate]

I'm reading through the math of xgboost: https://xgboost.readthedocs.io/en/latest/model.html Under the ADDITIVE TRAINING section of the objective function, I saw that in the derivation of the ...