Tagged Questions
0
votes
1answer
149 views
What is the best way to compare probabilities?
If you have two different events with different (known) probabilities, what is the best way to compare the probabilities?
For example, the relationship between $0.5$ and $0.7$ is not the same as ...
6
votes
1answer
202 views
Age of Stochasticity?
Today I came across D. Mumford's 1999 article The Dawning of the Age of Stochasticity, which is quite remarkable even after more than a decade. The title already indicates the theme, but I copy the ...
3
votes
1answer
39 views
Expected Value of Students on a Bus
There's a question in my probability book that says there are $148$ students on $4$ buses containing $40, 33, 25, 50$ students, respectively. If we let $X$ denote the number of students that were on ...
2
votes
1answer
38 views
Conditional events that are not in the event algebra?
The Wikip. page on conditional event algebra states that:
David Lewis showed that in orthodox probability theory, only certain
trivial Boolean algebras with very few elements contain, for any ...
3
votes
2answers
377 views
Grad degree that mainly deals with probability/game theory/optimization?
I'm currently working but am going to take classes as a non-degree student to beef up the math part of my background.
I've only taken calc 1-3, ODEs, linear algebra, logic, and decision theory so my ...
4
votes
5answers
334 views
Sleeping Mathematician (Sleeping Beauty)
I came across the following thought experiment, and I would like to understand whether the controversy around it is justified.
Imagine an experiment in which a mathematician is put to sleep with some ...
0
votes
2answers
33 views
Probability of Intersections
I'm studying for an exam tomorrow, and I'm definitely over thinking it.
Out of a normal deck of $52$ cards, $2$ cards are taken without replacement. Given two events: $A_c$ and $B$, where $A_c =$ {an ...
1
vote
3answers
99 views
Probability Of Union/Intersection Of Two Events
I understand the rules for finding the probability of A or B occurring. However, the rules of finding the probability of A and B happening are a bit more elusive. In the former you add, which makes ...
3
votes
2answers
65 views
Intuition Of Conditional Probability Equation
I was wondering if any one of you had any intuitive insight regarding the conditional probability equation, $P(A\mid B) = \large \frac{P(A \cap B)}{P(B)}$. In my textbook, they give a mere definition, ...
0
votes
1answer
23 views
How to obtain estimate of covariance matrix that will be guarantee to be semi-positive define?
How to obtain estimate of covariance matrix that will be guarantee to be semi-positive define ? (Is CrossValidated better place for this question ?)
-3
votes
1answer
113 views
What does it mean for a random variable to describe an experiment?
I often hear the expression, random variable (or sequence of rd's) to describes an experiment (or sequence of experiments.
But that sound totally unrigorous to me: So we're given a mapping $X:\Omega ...
2
votes
2answers
65 views
Probability: assignment vs. measurement
"It is worth emphasizing that probabilities are assigned not measured." -- TJ Loredo "From Laplace to SN1987A" in "Max Entropy and Bayesian Methods" 1990.
Is there a logical way to distinguish what ...
1
vote
4answers
324 views
Steps to learning Bayesian probability
Lets pretend I have no experience with statistics...
what books, in what order, will get me to the point of being able to understand Bayesian probability fastest.
1
vote
2answers
69 views
Probability of taking balls out a bag given a series of events
Please help with me find the area to read up on to solve this type of problem:
I have two bags. Bag one has 7 black marbles and 4 white marbles. Bag two has 4 black marbles and 5 white marbles. I ...
2
votes
5answers
176 views
Why do you need to specify that a coin is fair?
This sounds like the kind of etherial question that generally gets dropped from stack exchange sites, but I don't know of a better venue to ask so I'm hoping this question will help other folks with a ...
