Newbetuts
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New posts in random-variables
$\tau=s \mathbf{1}_{A^c}+t\mathbf{1}_A$, $A \in \mathcal F_s$ is a stopping time
stochastic-processes
random-variables
stopping-times
Reconciling measure-theoretic definition of expectation versus expectation defined in elementary probability
integration
probability-theory
random-variables
definition
lebesgue-integral
Does the condition $E[X]=E[X^2]=E[X^3]$ determine the distribution of $X$?
probability-theory
random-variables
moment-problem
What is the PDF of random variable Z=XY?
probability
probability-theory
probability-distributions
random-variables
expected number of cards drawn exactly once (with replacement) [closed]
probability
random-variables
expectation
The "true" domain of random variables
probability
probability-theory
random-variables
examples-counterexamples
mathematical-modeling
Can two random variables $X,Y$ be dependent and such that $E(XY)=E(X)E(Y)$?
probability-theory
random-variables
Probability of exceeding a value with a given expectation and variance?
probability
statistics
random-variables
expected-value
variance
About a domain of random variable $S_n=X_1+X_2+...+X_n$
probability
probability-theory
random-variables
Proof: Product of Expectation of two independent random variables!
probability
random-variables
expectation
What is the distribution of a constant divided by a uniform distribution? [closed]
random-variables
uniform-distribution
Distribution of a random real with i.i.d. Bernoulli(p) binary digits?
probability-theory
probability-distributions
random-variables
random
Motivation behind study of martingales
probability-theory
random-variables
martingales
big-picture
Suppose that $X_i$ are independent random variables, with finite absolute moment. Then $Max(X_1, \ldots, X_n) / n \to 0$ a.s.?
probability
probability-theory
random-variables
independence
borel-cantelli-lemmas
Determine the PDF of $Z = XY$ when the joint pdf of $X$ and $Y$ is given
probability
probability-distributions
random-variables
Example of a situation when $P(X<Y)$ is not equal to $P(X^{2} < Y^{2})$?
probability
probability-distributions
random-variables
Showing that $X\sim E[X\mid\mathcal{G}]$ implies $X=E[X\mid\mathcal{G}]$ almost surely
probability-theory
probability-distributions
random-variables
conditional-probability
sum and difference between two independent Poisson random variables [closed]
random-variables
poisson-distribution
Choosing a number between $1$ and $100$, and randomly guessing it. What is the expected value of the number of guesses?
probability
probability-distributions
random-variables
Proving Negative of Standard Normal is Standard Normal
probability
statistics
random-variables
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