Prove Zero Mean hypothesis
$begingroup$
I have a stochastic process for which I can compute a final outcome that is real valued. I know that the process has a relatively high variance and I is costly to obtain more data points. (data points are uncorrelated)
Is there a method to rank my hypothesis of the mean being zero based on a few hundred results?
I know from Central Limit Theorem that the sample mean would behave as a normal variable with it's mean equal to the original process mean and variance equal to the original variance divided by the number of sample points. But for the number of data point I have this would represent a very loose bound for my application.
parameter-estimation estimators
New contributor
$endgroup$
add a comment |
$begingroup$
I have a stochastic process for which I can compute a final outcome that is real valued. I know that the process has a relatively high variance and I is costly to obtain more data points. (data points are uncorrelated)
Is there a method to rank my hypothesis of the mean being zero based on a few hundred results?
I know from Central Limit Theorem that the sample mean would behave as a normal variable with it's mean equal to the original process mean and variance equal to the original variance divided by the number of sample points. But for the number of data point I have this would represent a very loose bound for my application.
parameter-estimation estimators
New contributor
$endgroup$
add a comment |
$begingroup$
I have a stochastic process for which I can compute a final outcome that is real valued. I know that the process has a relatively high variance and I is costly to obtain more data points. (data points are uncorrelated)
Is there a method to rank my hypothesis of the mean being zero based on a few hundred results?
I know from Central Limit Theorem that the sample mean would behave as a normal variable with it's mean equal to the original process mean and variance equal to the original variance divided by the number of sample points. But for the number of data point I have this would represent a very loose bound for my application.
parameter-estimation estimators
New contributor
$endgroup$
I have a stochastic process for which I can compute a final outcome that is real valued. I know that the process has a relatively high variance and I is costly to obtain more data points. (data points are uncorrelated)
Is there a method to rank my hypothesis of the mean being zero based on a few hundred results?
I know from Central Limit Theorem that the sample mean would behave as a normal variable with it's mean equal to the original process mean and variance equal to the original variance divided by the number of sample points. But for the number of data point I have this would represent a very loose bound for my application.
parameter-estimation estimators
parameter-estimation estimators
New contributor
New contributor
New contributor
asked 12 mins ago
MefiticoMefitico
1012
1012
New contributor
New contributor
add a comment |
add a comment |
0
active
oldest
votes
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: "557"
};
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: false,
noModals: true,
showLowRepImageUploadWarning: true,
reputationToPostImages: null,
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
},
onDemand: true,
discardSelector: ".discard-answer"
,immediatelyShowMarkdownHelp:true
});
}
});
Mefitico is a new contributor. Be nice, and check out our Code of Conduct.
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%2fdatascience.stackexchange.com%2fquestions%2f44263%2fprove-zero-mean-hypothesis%23new-answer', 'question_page');
}
);
Post as a guest
Required, but never shown
0
active
oldest
votes
0
active
oldest
votes
active
oldest
votes
active
oldest
votes
Mefitico is a new contributor. Be nice, and check out our Code of Conduct.
Mefitico is a new contributor. Be nice, and check out our Code of Conduct.
Mefitico is a new contributor. Be nice, and check out our Code of Conduct.
Mefitico is a new contributor. Be nice, and check out our Code of Conduct.
Thanks for contributing an answer to Data Science 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%2fdatascience.stackexchange.com%2fquestions%2f44263%2fprove-zero-mean-hypothesis%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