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Feb
24
revised Exponentially distributed random variables
added 491 characters in body
Feb
24
comment Given $P\colon\mathbb{R} \to \mathbb{R}$ , $P$ is injective (one to one) polynomial function. Prove formally that $P$ is onto $\mathbb{R}$
Didn't you say there is a theorem that all continuous and monotonic functions have an inverse function -- and yours must be both since it is a 1-to-1 polynomial? Existence of the inverse implies it is defined on the entire domain, thus proving that your function maps to the entire codomain?
Feb
24
answered Exponentially distributed random variables
Feb
24
comment Exponentially distributed random variables
@Did such things are, alas, all too common: math.stackexchange.com/questions/675252/…
Feb
24
comment Kernels and Images
Tried my best to understand your intentions. Please proof-read the resulting formulae.
Feb
24
revised Kernels and Images
latex
Feb
24
comment find a CDF for a liner transformation for indipendent random variable
@user107761 note the edit. $F_Y(-1)$ can be simplified, it is really $F_{X_2}(-1)$, and now you just plug in, since you know both $F_{X_1}$ and $F_{X_2}$.
Feb
24
revised find a CDF for a liner transformation for indipendent random variable
added 255 characters in body
Feb
24
answered find a CDF for a liner transformation for indipendent random variable
Feb
24
revised find a CDF for a liner transformation for indipendent random variable
added hwk tag
Feb
24
answered Partioning/Enumeration
Feb
24
comment Partioning/Enumeration
Hi, welcome to Math.SE! Please give your thoughts on these homework problems, and we will be glad to provide the hints.
Feb
24
revised Partioning/Enumeration
deleted 1 characters in body; edited tags
Feb
24
comment Expectation of stochastic differential equation
Assuming $X_0$ is a constant, you end up integrating $$ \mathbb{E}[X_t] = \mathbb{E}\left[ \left(X_0^{1/a} + W_t\right)^a \right] = \int_{-\infty}^\infty \left(X_0^{1/a} + z\right)^a f(z) dz, $$ where $f(z)$ is the pdf of the $\mathcal{N}(0,t)$ distribution.
Feb
21
answered Expectation of stochastic differential equation
Feb
21
reviewed Approve suggested edit on Solving $[x]=ax+1$
Feb
21
comment Convergence and limit of a recursive sequence
@EricAm yes, hence the text in the answer "if the limit is $x$"
Feb
21
answered Convergence and limit of a recursive sequence
Feb
21
comment Help proving basic group properties
@Shomar why do you need it? Make 2 cases, inverses of the positives will yield the negative case.
Feb
21
awarded  Nice Answer