# Tagged Questions

For questions about statistical theory. Always include a more specific tag as well.

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### How to prepare for a Theory of Probability class?

I have taken statistical theory and applied statistics classes at the graduate level, and I may take Theory of Probability next semester. I have heard from PhD students that this class was the hardest ...
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### Figuring out the bounds of integration over a joint pdf

I have two random variables $X$ and $Y$ where the support of $X$ and $Y$ are the following: $0\leq X\leq 1$ and $0\leq Y\leq 1$. I also have their joint distribution, i.e., $f_{X,Y}(x,y)$ and I want ...
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### Conditioning within definition explanation

I have a doubt on the meaning of a conditioning within a definition. In a book I've found the following definition of upper tolerance limit: $P(P(X<\bar X+kS|\bar X, S)>p)=1-\alpha$ where $X$ ...
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### Missing data and communicating bias

I'm a graduate student, so I'm looking for a little more expertise around including family income in a regression model because of a high percentage of missing data (50%). I'm hoping you all can ...
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### Information on PCA and it's applications

Edit: I'm currently doing some research into Principal Component Analysis (PCA) and I'm looking to implement some different forms of PCA algorithms in Matlab. I'm looking to use it for fault ...
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### Asymptotic Behavior of Probabilities mapped to Discrete Outcomes

I'm having trouble finding a solution to the following problem: Assume that there are $N$ observations and each observation is associated with $K$ probabilities. For each $i \in N$, the ...
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### Multinomial loss derivative in gradient boost

I'm struggling hard to understand the derivative Jerome Friedman uses to extend gradient boosting to the multiclass case using multinomial logistic loss in his paper on Gradient Boosting: Greedy ...
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### Representer Theorem: Is the RKHS $H$ the feature space or the estimator space?

I don't know how theoretical this page is, but I don't know a better place to ask this. It is more an intuitive question than a formal one. In reproducing kernel hilbert space theory we normally have ...
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### Survival in time (Kaplan Meier) when start time is unknown: is it possible and what methods exist?

Is it possible to do survival analysis if one does not know the time the studied subject has already been ‘at risk’? This is question is more theoretical than practical, as in practice you would ...
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### Alternatives to Job Sequencing using Optimization

I have to N jobs to be assigned in a sequence to a Machine/User. I know using optimization technique we can find an optimal sequence. But in my case there are lot of parameters (some to be minimized (...