Top new questions this week:
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What is the cleanest, easiest way to explain someone the concept of Inference? What does it intuitively mean?
How would you go to explain it to the layperson, or to a person who has studied a very ...
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The Delta method states that, given
$$
\sqrt{n} (X_n - \mu) \xrightarrow{d} N(0, 1)
$$
then
$$
\sqrt{n} (g(X_n) - g(\mu)) \xrightarrow{d} N(0, g'(\mu))
$$
I'm surprised that this can be true.
As a ...
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I have a question regarding model building for a large dataset including about 5000 Subjects. I want to fit a LMEM including multiple variables and I have repeated measurements in time. But for some ...
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Question: Let $X_1,X_2,\dots,X_n$ be random sample from Poisson($\theta$). Find MVUE of $e^{-2\theta}$
My attempt has been by modifying the answer from this question:
The Poisson distribution is a ...
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Most textbooks (also this blog) cover the fact that ridge regression,
$$
\hat y = \hat \beta X;
\\
\hat \beta = \underset{\beta}{\text{argmin}}\ \ \frac{(y-\beta X)^T(y-\beta X)}{\sigma^2}
+ \lambda ...
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The definition of an exchangeabilty for a finite sequence says that, if we have random variables $X_1,\ldots,X_n$, then for each permutation $\pi: \{1,\ldots,n\}\rightarrow\{1,\ldots,n\}$, the joint ...
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Say, I have a dataset that looks at how many times my 5 babies chases a cat around the house . I'm trying to estimate 'y' which is the number of times the cat runs one complete round around the house ...
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Greatest hits from previous weeks:
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I got this question during an interview with Amazon:
50% of all people who receive a first interview receive a second interview
95% of your friends that got a second interview felt they had a good ...
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I understand that a stationary time series is one whose mean and variance is constant over time. Can someone please explain why we have to make sure our data set is stationary before we can run ...
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In a standard normal distribution how do I deal with a $Z$ value greater than 3?
I know that z-score ranges form -3 to 3
Consider this one ...
mean = 70, standard deviation = 4
I need to ...
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I'm training a neural network but the training loss doesn't decrease. How can I fix this?
I'm not asking about overfitting or regularization. I'm asking about how to solve the problem where my ...
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Joris and Srikant's exchange here got me wondering (again) if my internal explanations for the difference between confidence intervals and credible intervals were the correct ones. How you would ...
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I am reading a data mining book and it mentioned the Kappa statistic as a means for evaluating the prediction performance of classifiers. However, I just can't understand this. I also checked ...
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What is the difference between discrete data and continuous data?
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Can you answer these questions?
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This should've been a pretty simple question, but I still have a few questions so I decided to bring the discussion here.
The thing is, I have a group of products, and the historical dataset looks ...
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For copula models there are different estimation ways. One of them, is Pseudo maximum likelihood method. In this method, the margins are estimated using empirical cumulative density function. Then ...
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I have a stacked column chart comparing time spent on 3 activities (here illustrated as A, B and C) by novices and experts. The proportions will always add up to 1; the participants could not do ...
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