Can there be a continuous probability distribution with a finite support that has an infinite second moment? Why?Proof that distribution has power law tails from having infinite momentsSpecial distribution with high probability of being zero and fixed second and fourth momentStochastic process reference: limit of compound Poisson with infinite second momentPacking of discrete random variables with finite second momentNon-integral-over-a-point proof that the probability of any point in a continuous distribution is zeroVariance largest sample from finite-support vs infinite-support distributionFinite second moment but infinite third moment of differenceHow can you find the likelihood that one event with a continuous probability will happen N times first?What does it mean that a probability distribution has full support?Every finite state Markov chain has a stationary probability distribution
Multi tool use
Was it really inappropriate to write a pull request for the company I interviewed with?
Giving a career talk in my old university, how prominently should I tell students my salary?
What is better: yes / no radio, or simple checkbox?
How to resolve: Reviewer #1 says remove section X vs. Reviewer #2 says expand section X
Is it possible that a question has only two answers?
Minimizing with differential evolution
After `ssh` without `-X` to a machine, is it possible to change `$DISPLAY` to make it work like `ssh -X`?
Does "Until when" sound natural for native speakers?
Why couldn't the separatists legally leave the Republic?
How do spaceships determine each other's mass in space?
From an axiomatic set theoric approach why can we take uncountable unions?
I can't die. Who am I?
Virginia employer terminated employee and wants signing bonus returned
Expressing logarithmic equations without logs
Haman going to the second feast dirty
Is divide-by-zero a security vulnerability?
When Schnorr signatures are part of Bitcoin will it be possible validate each block with only one signature validation?
Which situations would cause a company to ground or recall a aircraft series?
Conservation of Mass and Energy
Street obstacles in New Zealand
How does Ehrenfest's theorem apply to the quantum harmonic oscillator?
What materials can be used to make a humanoid skin warm?
In the late 1940’s to early 1950’s what technology was available that could melt a LOT of ice?
Do I really need to have a scientific explanation for my premise?
Can there be a continuous probability distribution with a finite support that has an infinite second moment? Why?
Proof that distribution has power law tails from having infinite momentsSpecial distribution with high probability of being zero and fixed second and fourth momentStochastic process reference: limit of compound Poisson with infinite second momentPacking of discrete random variables with finite second momentNon-integral-over-a-point proof that the probability of any point in a continuous distribution is zeroVariance largest sample from finite-support vs infinite-support distributionFinite second moment but infinite third moment of differenceHow can you find the likelihood that one event with a continuous probability will happen N times first?What does it mean that a probability distribution has full support?Every finite state Markov chain has a stationary probability distribution
$begingroup$
Could we define a continuous probability distribution with a finite support and infinite second momentum? Is there a mathematical language proof to that?
probability
asked yesterday
lkky7lkky7
244
$endgroup$
add a comment |
$begingroup$
Could we define a continuous probability distribution with a finite support and infinite second momentum? Is there a mathematical language proof to that?
probability
asked yesterday
lkky7lkky7
244
$endgroup$
add a comment |
$begingroup$
Could we define a continuous probability distribution with a finite support and infinite second momentum? Is there a mathematical language proof to that?
probability
asked yesterday
lkky7lkky7
244
$endgroup$
Could we define a continuous probability distribution with a finite support and infinite second momentum? Is there a mathematical language proof to that?
probability
probability
asked yesterday
lkky7lkky7
244
asked yesterday
lkky7lkky7
244
asked yesterday
lkky7lkky7
244
asked yesterday
lkky7lkky7
244
asked yesterday
lkky7lkky7
244
244
add a comment |
add a comment |
1 Answer
1
active
oldest
votes
$begingroup$
If $X$ has distribution with finite (or compact) support then all moments are finite because $X$ is a bounded random variable.
answered yesterday
Kavi Rama MurthyKavi Rama Murthy
66k42867
$endgroup$
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%2f3141035%2fcan-there-be-a-continuous-probability-distribution-with-a-finite-support-that-ha%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
$begingroup$
If $X$ has distribution with finite (or compact) support then all moments are finite because $X$ is a bounded random variable.
answered yesterday
Kavi Rama MurthyKavi Rama Murthy
66k42867
$endgroup$
add a comment |
$begingroup$
If $X$ has distribution with finite (or compact) support then all moments are finite because $X$ is a bounded random variable.
answered yesterday
Kavi Rama MurthyKavi Rama Murthy
66k42867
$endgroup$
add a comment |
$begingroup$
If $X$ has distribution with finite (or compact) support then all moments are finite because $X$ is a bounded random variable.
answered yesterday
Kavi Rama MurthyKavi Rama Murthy
66k42867
$endgroup$
If $X$ has distribution with finite (or compact) support then all moments are finite because $X$ is a bounded random variable.
answered yesterday
Kavi Rama MurthyKavi Rama Murthy
66k42867
answered yesterday
Kavi Rama MurthyKavi Rama Murthy
66k42867
answered yesterday
Kavi Rama MurthyKavi Rama Murthy
66k42867
answered yesterday
Kavi Rama MurthyKavi Rama Murthy
66k42867
66k42867
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%2f3141035%2fcan-there-be-a-continuous-probability-distribution-with-a-finite-support-that-ha%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
LNPei5gwJU2nW5qlrUH
