# Questions tagged [mathematical-statistics]

Mathematical theory of statistics, concerned with formal definitions and general results.

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### Probability that linear combination of normal random variables exceeds a value

I'm new to statistics, and I'm wondering how can I compute $P(2Y_1 + 4Y_2 - 3Y_3 \geq 40)$ given the following information? $Y$ follows a multivariate normal distribution. $Y_1, Y_2, Y_3$ follow a ...
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### How to estimate when some values have already stabilized?

I am benchmarking some AI models. The first inference takes more time because it also measures the time to send data to the TPU's memory. Something like this: TIME TO SEND THE TENSORS TO THE TPU'S RAM ...
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### How to prove that the Ys are independent under the normality assumption of $\epsilon$

I am working on a self-study of Cosma Shalizi's "The Truth About Linear Regression". I am currently work my way through Chapter 5, "The Method of Maximum Likelihood for Simple Linear ...
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### Statistical test - pre and post teaching session

I am collecting data on people's knowledge of radiation dosages before and after a teaching session. The data is NOT normally distributed. Therefore I will be comparing the MEDIAN of each set of data. ...
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### What if a non-random sample is identical to a random sample?

Sometimes, in political polls, pollsters take non-random samples from a given population, but then they apply the results of the theory of random sampling to their non-random sample. I've heard ...
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### Checking the normality and assumptions of residuals in a regression model with a categorical IV

I have conducted a hierarchical regression with 2 categorical variables. One of which I am controlling for (ethnicity-dummy coded). I need to check the assumptions of normality, linearity and ...
68 views