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mhdadk
  • Member for 3 years, 9 months
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27 votes
1 answer
9k views

What does it mean to take the expectation with respect to a probability distribution?

13 votes
7 answers
3k views

If p-values are random, why not decide using the test statistic instead?

12 votes
2 answers
2k views

Two random variables are dependent given a third random variable, and independent otherwise

8 votes
2 answers
376 views

Is it possible that marginally independent random variables are conditionally dependent?

6 votes
1 answer
636 views

How can I test whether one empirical CDF is to the left or right of another?

6 votes
2 answers
105 views

Are bias and variance used as metrics to evaluate estimators in Bayesian inference?

5 votes
2 answers
1k views

Does the entropy of a random variable change under a linear transformation?

4 votes
1 answer
95 views

Can non-random variables be expressed as random variables with probability 1?

4 votes
1 answer
3k views

How can I derive the EM algorithm for a mixture of two Bernoulli distributions?

4 votes
1 answer
234 views

Is empirical Bayes an iterative scheme?

3 votes
1 answer
301 views

How can the marginal distribution be derived from conjugate Gaussians?

3 votes
1 answer
183 views

Is empirical Bayes estimation still possible without common parameters?

3 votes
1 answer
397 views

What is the difference between the risk function used in Bayesian inference and the one used in supervised learning?

3 votes
1 answer
105 views

Are loss functions only used to evaluate estimators?

3 votes
1 answer
75 views

Is a parameter-independent support sufficient to belong to an exponential family?

3 votes
1 answer
267 views

Is there a special case of the EM algorithm for exponential family distributions?

3 votes
2 answers
295 views

Why is $q(\mathbf{z})$ chosen to be the posterior distribution in the EM algorithm?

3 votes
1 answer
831 views

How can I show that the entropy of a function of random variables cannot be greater than their joint entropy?

3 votes
2 answers
4k views

How can I prove that the conditional entropy of $X$ given $Y$ is $0$ if and only if $Y = f(X)$?

3 votes
0 answers
262 views

Why don't textbooks on statistics start with an introduction to probability?

2 votes
1 answer
190 views

Is the sample mean of the gradient the same as the gradient of the sample mean?

2 votes
1 answer
101 views

Does the approximation of the gradient of the log-likelihood imply the approximation of the log-likelihood?

2 votes
1 answer
186 views

Motivation for Confidence Intervals

2 votes
1 answer
370 views

Why can't Bayesian and Markov networks represent all conditional independencies in a joint distribution?

2 votes
2 answers
215 views

If $X$ is independent of $Y$ and $Y$ is independent of $Z$, is $X$ independent of $Z$? [duplicate]

2 votes
1 answer
3k views

Linear transformation of a binomial random variable?

2 votes
1 answer
59 views

Is the conditional probability of a function of independent random variables equal to the marginal probability? [closed]

2 votes
1 answer
146 views

Is the data-processing inequality still true for higher-order Markov chains?

2 votes
1 answer
73 views

Is this interpretation of the relationship between p-values and type I error rates correct?

2 votes
2 answers
2k views

Can any probability be expressed as an expectation?