Suppose that $X_1, ldots, X_n oversetidsim F$. Is there a function $h$ such that $h(X_1), ldots, h(X_n) oversetiidsim G$? The 2019 Stack Overflow Developer Survey Results Are InSuppose $X_1,ldots,X_n$ are independent random variables. Find $rho(S_k,S_n)$.Suppose that $X_1, X_2, …, X_n$ are i.i.d. random variables such that $X_1sim N(mu, 0.5)$ and $n = 100$.calculating $P(X_n=max(X_1,X_2,ldots, X_n))$$X_1, dots, X_n$ are independent random variables. Suppose $M = min(X_1, X_2, dots, X_n)$Do we not have that $X_1, ldots, X_n sim F$ iff $X_1, ldots, X_n sim f$?If $X_1 perp X_2 perp ldots perp Z$, where $X_1, ldots, X_n$ are iid, is $fracX_1Z, ldots ,fracX_1Z$ are independent of $Z$?Suppose that $X_1, X_2$ are iid random variables with the same CDF, is it true that $P(X_2>X_1) = X_1$?Suppose $X_1, ldots, X_n$ are iid standard Cauchy random variables, does $frac1nsum_i=1^nX_i$ converge in probability or almost surely?If $X_1,ldots,X_n$ are independent, does $mathbbPX_n>maxX_1,ldots,X_n-1=mathbbP{X_n>X_1)cdotsmathbbPX_n>X_n-1$ hold?
For what reasons would an animal species NOT cross a *horizontal* land bridge?
Is it ethical to upload a automatically generated paper to a non peer-reviewed site as part of a larger research?
Is an up-to-date browser secure on an out-of-date OS?
Is it ok to offer lower paid work as a trial period before negotiating for a full-time job?
Falsification in Math vs Science
Does adding complexity mean a more secure cipher?
Can a flute soloist sit?
Can there be female White Walkers?
Why doesn't shell automatically fix "useless use of cat"?
Pokemon Turn Based battle (Python)
Button changing its text & action. Good or terrible?
Geography at the pixel level
What could be the right powersource for 15 seconds lifespan disposable giant chainsaw?
Is bread bad for ducks?
ELI5: Why they say that Israel would have been the fourth country to land a spacecraft on the Moon and why they call it low cost?
Ubuntu Server install with full GUI
Can withdrawing asylum be illegal?
Why are there uneven bright areas in this photo of black hole?
How come people say “Would of”?
A female thief is not sold to make restitution -- so what happens instead?
Short story: child made less intelligent and less attractive
Will it cause any balance problems to have PCs level up and gain the benefits of a long rest mid-fight?
How can I add encounters in the Lost Mine of Phandelver campaign without giving PCs too much XP?
What is the motivation for a law requiring 2 parties to consent for recording a conversation
Suppose that $X_1, ldots, X_n oversetidsim F$. Is there a function $h$ such that $h(X_1), ldots, h(X_n) oversetiidsim G$?
The 2019 Stack Overflow Developer Survey Results Are InSuppose $X_1,ldots,X_n$ are independent random variables. Find $rho(S_k,S_n)$.Suppose that $X_1, X_2, …, X_n$ are i.i.d. random variables such that $X_1sim N(mu, 0.5)$ and $n = 100$.calculating $P(X_n=max(X_1,X_2,ldots, X_n))$$X_1, dots, X_n$ are independent random variables. Suppose $M = min(X_1, X_2, dots, X_n)$Do we not have that $X_1, ldots, X_n sim F$ iff $X_1, ldots, X_n sim f$?If $X_1 perp X_2 perp ldots perp Z$, where $X_1, ldots, X_n$ are iid, is $fracX_1Z, ldots ,fracX_1Z$ are independent of $Z$?Suppose that $X_1, X_2$ are iid random variables with the same CDF, is it true that $P(X_2>X_1) = X_1$?Suppose $X_1, ldots, X_n$ are iid standard Cauchy random variables, does $frac1nsum_i=1^n}X_i$ converge in probability or almost surely?If $X_1,ldots,X_n$ are independent, does $mathbbP{X_n>maxX_1,ldots,X_n-1=mathbbP{X_n>X_1)cdotsmathbbPX_n>X_n-1$ hold?
$begingroup$
Suppose that we have $n$ dependent random variables distributed as:
$$
X_1, ldots, X_n oversetidsim F
$$
Is there a function $h$ such that:
$$
h(X_1), ldots, h(X_n) oversetiidsim G
$$
for a new distribution $G$ where each of the $h(X_i)$ are now independent as well? I thought about the following:
$$
h(x) = 0cdot x + epsilon
$$
where $epsilon sim N(0,1)$. However, this relies on a random variable, which I am not sure if it would be valid.
probability statistics
asked Mar 30 at 23:41
user321627user321627
998515
$endgroup$
add a comment |
$begingroup$
Suppose that we have $n$ dependent random variables distributed as:
$$
X_1, ldots, X_n oversetidsim F
$$
Is there a function $h$ such that:
$$
h(X_1), ldots, h(X_n) oversetiidsim G
$$
for a new distribution $G$ where each of the $h(X_i)$ are now independent as well? I thought about the following:
$$
h(x) = 0cdot x + epsilon
$$
where $epsilon sim N(0,1)$. However, this relies on a random variable, which I am not sure if it would be valid.
probability statistics
asked Mar 30 at 23:41
user321627user321627
998515
$endgroup$
1
$begingroup$
Is $G$ given to you?
$endgroup$
– Minus One-Twelfth
Mar 31 at 1:34
add a comment |
$begingroup$
Suppose that we have $n$ dependent random variables distributed as:
$$
X_1, ldots, X_n oversetidsim F
$$
Is there a function $h$ such that:
$$
h(X_1), ldots, h(X_n) oversetiidsim G
$$
for a new distribution $G$ where each of the $h(X_i)$ are now independent as well? I thought about the following:
$$
h(x) = 0cdot x + epsilon
$$
where $epsilon sim N(0,1)$. However, this relies on a random variable, which I am not sure if it would be valid.
probability statistics
asked Mar 30 at 23:41
user321627user321627
998515
$endgroup$
Suppose that we have $n$ dependent random variables distributed as:
$$
X_1, ldots, X_n oversetidsim F
$$
Is there a function $h$ such that:
$$
h(X_1), ldots, h(X_n) oversetiidsim G
$$
for a new distribution $G$ where each of the $h(X_i)$ are now independent as well? I thought about the following:
$$
h(x) = 0cdot x + epsilon
$$
where $epsilon sim N(0,1)$. However, this relies on a random variable, which I am not sure if it would be valid.
probability statistics
probability statistics
asked Mar 30 at 23:41
user321627user321627
998515
asked Mar 30 at 23:41
user321627user321627
998515
asked Mar 30 at 23:41
user321627user321627
998515
asked Mar 30 at 23:41
user321627user321627
998515
asked Mar 30 at 23:41
user321627user321627
998515
998515
1
$begingroup$
Is $G$ given to you?
$endgroup$
– Minus One-Twelfth
Mar 31 at 1:34
add a comment |
1
$begingroup$
Is $G$ given to you?
$endgroup$
– Minus One-Twelfth
Mar 31 at 1:34
1
1
$begingroup$
Is $G$ given to you?
$endgroup$
– Minus One-Twelfth
Mar 31 at 1:34
$begingroup$
Is $G$ given to you?
$endgroup$
– Minus One-Twelfth
Mar 31 at 1:34
add a comment |
1 Answer
1
active
oldest
votes
$begingroup$
$h= 1$ is such a function. There are cases where $h$ is necessarily constant: e.g., $X_1=X_2$ with standard normal distribution.
answered Mar 31 at 0:00
Kavi Rama MurthyKavi Rama Murthy
74.1k53270
$endgroup$
add a comment |
Your Answer
StackExchange.ifUsing("editor", function ()
return StackExchange.using("mathjaxEditing", function ()
StackExchange.MarkdownEditor.creationCallbacks.add(function (editor, postfix)
StackExchange.mathjaxEditing.prepareWmdForMathJax(editor, postfix, [["$", "$"], ["\\(","\\)"]]);
);
);
, "mathjax-editing");
StackExchange.ready(function()
var channelOptions =
tags: "".split(" "),
id: "69"
;
initTagRenderer("".split(" "), "".split(" "), channelOptions);
StackExchange.using("externalEditor", function()
// Have to fire editor after snippets, if snippets enabled
if (StackExchange.settings.snippets.snippetsEnabled)
StackExchange.using("snippets", function()
createEditor();
);
else
createEditor();
);
function createEditor()
StackExchange.prepareEditor(
heartbeatType: 'answer',
autoActivateHeartbeat: false,
convertImagesToLinks: true,
noModals: true,
showLowRepImageUploadWarning: true,
reputationToPostImages: 10,
bindNavPrevention: true,
postfix: "",
imageUploader:
brandingHtml: "Powered by u003ca class="icon-imgur-white" href="https://imgur.com/"u003eu003c/au003e",
contentPolicyHtml: "User contributions licensed under u003ca href="https://creativecommons.org/licenses/by-sa/3.0/"u003ecc by-sa 3.0 with attribution requiredu003c/au003e u003ca href="https://stackoverflow.com/legal/content-policy"u003e(content policy)u003c/au003e",
allowUrls: true
,
noCode: true, onDemand: true,
discardSelector: ".discard-answer"
,immediatelyShowMarkdownHelp:true
);
);
Sign up or log in
StackExchange.ready(function ()
StackExchange.helpers.onClickDraftSave('#login-link');
);
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function ()
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3168889%2fsuppose-that-x-1-ldots-x-n-oversetid-sim-f-is-there-a-function-h-su%23new-answer', 'question_page');
);
Post as a guest
Required, but never shown
1 Answer
1
active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
$begingroup$
$h= 1$ is such a function. There are cases where $h$ is necessarily constant: e.g., $X_1=X_2$ with standard normal distribution.
answered Mar 31 at 0:00
Kavi Rama MurthyKavi Rama Murthy
74.1k53270
$endgroup$
add a comment |
$begingroup$
$h= 1$ is such a function. There are cases where $h$ is necessarily constant: e.g., $X_1=X_2$ with standard normal distribution.
answered Mar 31 at 0:00
Kavi Rama MurthyKavi Rama Murthy
74.1k53270
$endgroup$
add a comment |
$begingroup$
$h= 1$ is such a function. There are cases where $h$ is necessarily constant: e.g., $X_1=X_2$ with standard normal distribution.
answered Mar 31 at 0:00
Kavi Rama MurthyKavi Rama Murthy
74.1k53270
$endgroup$
$h= 1$ is such a function. There are cases where $h$ is necessarily constant: e.g., $X_1=X_2$ with standard normal distribution.
answered Mar 31 at 0:00
Kavi Rama MurthyKavi Rama Murthy
74.1k53270
answered Mar 31 at 0:00
Kavi Rama MurthyKavi Rama Murthy
74.1k53270
answered Mar 31 at 0:00
Kavi Rama MurthyKavi Rama Murthy
74.1k53270
answered Mar 31 at 0:00
Kavi Rama MurthyKavi Rama Murthy
74.1k53270
74.1k53270
add a comment |
add a comment |
Thanks for contributing an answer to Mathematics Stack Exchange!
- Please be sure to answer the question. Provide details and share your research!
But avoid …
- Asking for help, clarification, or responding to other answers.
- Making statements based on opinion; back them up with references or personal experience.
Use MathJax to format equations. MathJax reference.
To learn more, see our tips on writing great answers.
Sign up or log in
StackExchange.ready(function ()
StackExchange.helpers.onClickDraftSave('#login-link');
);
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function ()
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3168889%2fsuppose-that-x-1-ldots-x-n-oversetid-sim-f-is-there-a-function-h-su%23new-answer', 'question_page');
);
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function ()
StackExchange.helpers.onClickDraftSave('#login-link');
);
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function ()
StackExchange.helpers.onClickDraftSave('#login-link');
);
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function ()
StackExchange.helpers.onClickDraftSave('#login-link');
);
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
1
$begingroup$
Is $G$ given to you?
$endgroup$
– Minus One-Twelfth
Mar 31 at 1:34