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niobium
  • Member for 1 year, 8 months
  • Last seen more than a week ago
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About

I love math, especially proof-based math.

As to my background in probabilities, I have read E.T. Jaynes, Probability Theory; the Logic of Science, the first $3$ or $4$ chapters.

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4
Probability Theory (Jaynes' approach based on Cox theorem) CDF how to prove increasing monotonicity of this function?
Jan 16
2
In general, does $P(R|N)>P(R)$ implies $P(N|R)>P(N)$ ? Seems to be confirmed by Venn diagrams example but contradiction with Bayes' theorem
May 28
1
Logical disjunction OR between two independent random variables
Nov 16, 2022
1
Motivation behind definition of PMF of function of $2$ variables
Mar 17
0
Conditional probability - when is the fraction defined (representation of a strong syllogism with conditional probabilities)?
Jan 5
0
In the Law of the Unconscious Statistician, is $p(Y=y_1) = p(X\in g^{-1}(y_1))$ a convention or can it be derived? [duplicate]
Apr 17
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15
To what extent can we use the informal version of the Dirac delta function in Physics?
6
Difference betwwen $(\sqrt{2}, \pi)\cap \mathbb Q$ and $[\sqrt{2}, \pi]\cap \mathbb Q$ in $\mathbb Q$
5
Why probability distribution is defined on event space and not on sample space?
5
Does the number of photoelectrons depend on the area of the beam for a given beam power?
5
Should I choose Cox-based Jaynes' approach or Kolmogorov approach to base myself on to teach probabilities to high-school students?