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17h
comment Find the density function from a joint density function
Independence implies $\mathbb{E}[XZ]=\mathbb{E}[X]\mathbb{E}[Z]$ but not the other way around.
Apr
20
revised Are Monotone functions Borel Measurable?
rolled back to a previous revision
Mar
31
reviewed Reject how do i calculate the threshold value of the following problem?
Mar
29
awarded  Necromancer
Mar
22
answered Independence of random variable and random vector implies conditional independence
Mar
15
comment CDF expected value when Y=X^2
If X=0 then what is Y?
Mar
7
comment Finite group with at least 3 generators?
If you have a new question, please ask it by clicking the Ask Question button. Include a link to this question if it helps provide context. - From Review
Mar
2
awarded  Nice Answer
Feb
29
comment Is $f$ a probability density function?
I would start by taking a look in my textbook if I didn't know the precise definition of a probability density function.
Feb
29
comment Is $f$ a probability density function?
@Qwerty: That depends on what your definition of '$f$ being a probability density function of $X$' is. Surely, this must be stated in the textbook or lecture notes you are following.
Feb
29
comment Is $f$ a probability density function?
@Qwerty: That definition still doesn't depend on $X$, so surely this can't be the definition of '$f$ being a probability density function of $X$'.
Feb
29
comment Is $f$ a probability density function?
@Qwerty: That definition doesn't involve X.
Feb
25
comment Is $f$ a probability density function?
You're asked to prove that "f is <term> if and only if f satisfies <condition>", so surely you must be given the definition of <term> in order for this to make sense.
Feb
24
awarded  Yearling
Feb
19
comment Proof of an algebra (measure theory)
Induction in the number of sets would do it.
Feb
12
comment Independence of two non-negative integer valued random variables
Hint: $\{X\leqslant a\}=\bigcup\limits_{j=0}^{\lfloor a\rfloor} \{X=j\}$.
Feb
10
awarded  Nice Answer
Feb
10
comment Given three independent events $A,B,C$, is $I_A+2I_B$ independent of $I_C$?
If you want to argue in terms of sigma-algebras, then just note that by assumption $\sigma(I_C)$ is independent of $\sigma(I_A,I_B)$. Then, since $\sigma(I_A+2I_B)\subseteq\sigma(I_A,I_B)$, we also have $\sigma(I_C)$ is independent of $\sigma(I_A+2I_B)$.
Feb
9
comment Find the distribution of $Y = -\log (1-X)$ given that $X\sim U(0,1)$.
What have you tried yourself? Please explain.
Feb
2
answered Expectation of min(X,1)