Top new questions this week:
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Specifically, I mean $$ f(x)= \begin{cases} -\log(1-x) & x \le 0 \\ \space \space \space \log(1+x) & x \gt 0 \\ \end{cases} $$ Which is red in the plot: It behaves similarly to widely used $\…
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I’ve been thinking about unifying some notions related to ranking, order theory, ordinal data, and graded posets. While the notion of a grade in order theory is quite general, in some sense the way we …
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How would you motivate an undergraduate student to take an Introduction to Mathematical Statistics course, if they know that much of their time will be spent proving results they’ve already seen in …
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In the context of deep learning, layer weight initialization techniques of the Glorot/He family strive to select initial random weight values in such a way that the variance of each layer’s output is …
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Laplace’s Rule of Succession produces an estimate for the probability $p$ of a Bernoulli distribution. It starts with a $Beta(1,1)$ prior (equivalent to a uniform distribution prior on $(0,1)$), and …
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I did fisher’s exact test and I got an odds ratio equal to zero. Can you please clarify what it means? I want to plot the odds ratio but don’t know how to deal with the zero and INF values. below are …
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I am a Magic: the Gathering player and I want to understand the logic and the statistics behind the game. Let me explain the basics: A deck contains 60 cards and there is about a third part of those …
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Greatest hits from previous weeks:
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After taking a statistics course and then trying to help fellow students, I noticed one subject that inspires much head-desk banging is interpreting the results of statistical hypothesis tests. It …
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There are some variations on how to normalize the images but most seem to use these two methods: Subtract the mean per channel calculated over all images (e.g. VGG_ILSVRC_16_layers) Subtract by …
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Need to understand the working of ‘Embedding’ layer in Keras library. I execute the following code in Python …
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In today’s pattern recognition class my professor talked about PCA, eigenvectors and eigenvalues. I understood the mathematics of it. If I’m asked to find eigenvalues etc. I’ll do it correctly like …
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Following up on this question, How would you explain covariance to someone who understands only the mean?, which addresses the issue of explaining covariance to a lay person, brought up a similar …
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I want to know how to check a data set for normality in Excel, just to verify that the requirements for using a t-test are being met. For the right tail, is it appropriate to just calculate a mean …
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I was wondering what the difference between the variance and the standard deviation is. If you calculate the two values, it is clear that you get the standard deviation out of the variance, but what …
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Can you answer these questions?
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I’m performing a cointegration test + OLS regression on 2 assets’ prices. If I check the correlogram of the model residuals (training set, but also happens with the test set residuals) it looks like …
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I have trained a model on some sales data, we have separated the data into different groups of customers based on the marketing strategies of our client. We have a total of 10 groups and 31 coupons. …
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I have a data set of the 2020 value of 15,000 unique objects. The value is right skewed. I have to draw a sample of 500 unique objects based on the 2020 value (range = $1-40,000). The present value of …
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