Why is the likelihood for bayesian liner regression in that form? The Next CEO of Stack OverflowQueries on the Bayesian methodAssessing goodness of fit in Bayesian frameworkConfusion about Notation for Bayesian StatisticsBayesian information criterion derivation for linear regressionUsing the linear regression equation in the Bayesian Model Averaging with RHow to optimize the log likelihood to obtain parameters for the maximum likelihood estimate?Bayesian Regression Simplifying the posteriorBayesian Interpretation for Ridge Regression and the LassoBayesian Linear RegressionWhy Bayesian Approach don't use test data for model validation?
What flight has the highest ratio of time difference to flight time?
What is ( CFMCC ) on ILS approach chart?
Non-deterministic sum of floats
How to add tiny 0.5A 120V load to very remote split phase 240v 3 wire well house
Limits on contract work without pre-agreed price/contract (UK)
What was the first Unix version to run on a microcomputer?
How to transpose the 1st and -1th levels of arbitrarily nested array?
MessageLevel in QGIS3
What exact does MIB represent in SNMP? How is it different from OID?
Is there a difference between "Fahrstuhl" and "Aufzug"
Can we say or write : "No, it'sn't"?
How to make a variable always equal to the result of some calculations?
Unreliable Magic - Is it worth it?
Return the Closest Prime Number
Why do remote companies require working in the US?
If the heap is initialized for security, then why is the stack uninitialized?
How do I go from 300 unfinished/half written blog posts, to published posts?
Make solar eclipses exceedingly rare, but still have new moons
Bold, vivid family
How do scammers retract money, while you can’t?
Why do airplanes bank sharply to the right after air-to-air refueling?
What do "high sea" and "carry" mean in this sentence?
Complex fractions
How to Reset Passwords on Multiple Websites Easily?
Why is the likelihood for bayesian liner regression in that form?
The Next CEO of Stack OverflowQueries on the Bayesian methodAssessing goodness of fit in Bayesian frameworkConfusion about Notation for Bayesian StatisticsBayesian information criterion derivation for linear regressionUsing the linear regression equation in the Bayesian Model Averaging with RHow to optimize the log likelihood to obtain parameters for the maximum likelihood estimate?Bayesian Regression Simplifying the posteriorBayesian Interpretation for Ridge Regression and the LassoBayesian Linear RegressionWhy Bayesian Approach don't use test data for model validation?
$begingroup$
Let's say we have a linear model $Y = bX + e$ where $b$ represents the parameter.
Normally, the posterior is written like this for data $X_n$ and $Y_n: P(B|Y_n, X_n) = P(Y_n|X_n,b)P(b|X_n)/P(Y_n|X_n)$
Also, look at the following equation where D represents the data and L represents the parameters. The posterior is normally written like $P(L|D) = P(D|L)P(L)/P(D)$.
But if you do a direct substitution where $D = X_n,Y_n$ and $L = B$ you get:
$P(B|X_n,Y_n) = P(Y_n,X_n|b)P(b)/P(Y_n,X_n)$
Why is the second equation not used? What am I missing?
statistics regression bayesian
edited 2 days ago
YuiTo Cheng
2,1612937
asked 2 days ago
Anirudh SharmaAnirudh Sharma
1
New contributor
Anirudh Sharma is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
$endgroup$
add a comment |
$begingroup$
Let's say we have a linear model $Y = bX + e$ where $b$ represents the parameter.
Normally, the posterior is written like this for data $X_n$ and $Y_n: P(B|Y_n, X_n) = P(Y_n|X_n,b)P(b|X_n)/P(Y_n|X_n)$
Also, look at the following equation where D represents the data and L represents the parameters. The posterior is normally written like $P(L|D) = P(D|L)P(L)/P(D)$.
But if you do a direct substitution where $D = X_n,Y_n$ and $L = B$ you get:
$P(B|X_n,Y_n) = P(Y_n,X_n|b)P(b)/P(Y_n,X_n)$
Why is the second equation not used? What am I missing?
statistics regression bayesian
edited 2 days ago
YuiTo Cheng
2,1612937
asked 2 days ago
Anirudh SharmaAnirudh Sharma
1
New contributor
Anirudh Sharma is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
$endgroup$
add a comment |
$begingroup$
Let's say we have a linear model $Y = bX + e$ where $b$ represents the parameter.
Normally, the posterior is written like this for data $X_n$ and $Y_n: P(B|Y_n, X_n) = P(Y_n|X_n,b)P(b|X_n)/P(Y_n|X_n)$
Also, look at the following equation where D represents the data and L represents the parameters. The posterior is normally written like $P(L|D) = P(D|L)P(L)/P(D)$.
But if you do a direct substitution where $D = X_n,Y_n$ and $L = B$ you get:
$P(B|X_n,Y_n) = P(Y_n,X_n|b)P(b)/P(Y_n,X_n)$
Why is the second equation not used? What am I missing?
statistics regression bayesian
edited 2 days ago
YuiTo Cheng
2,1612937
asked 2 days ago
Anirudh SharmaAnirudh Sharma
1
New contributor
Anirudh Sharma is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
$endgroup$
Let's say we have a linear model $Y = bX + e$ where $b$ represents the parameter.
Normally, the posterior is written like this for data $X_n$ and $Y_n: P(B|Y_n, X_n) = P(Y_n|X_n,b)P(b|X_n)/P(Y_n|X_n)$
Also, look at the following equation where D represents the data and L represents the parameters. The posterior is normally written like $P(L|D) = P(D|L)P(L)/P(D)$.
But if you do a direct substitution where $D = X_n,Y_n$ and $L = B$ you get:
$P(B|X_n,Y_n) = P(Y_n,X_n|b)P(b)/P(Y_n,X_n)$
Why is the second equation not used? What am I missing?
statistics regression bayesian
statistics regression bayesian
edited 2 days ago
YuiTo Cheng
2,1612937
asked 2 days ago
Anirudh SharmaAnirudh Sharma
1
New contributor
Anirudh Sharma is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
edited 2 days ago
YuiTo Cheng
2,1612937
asked 2 days ago
Anirudh SharmaAnirudh Sharma
1
New contributor
Anirudh Sharma is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
edited 2 days ago
YuiTo Cheng
2,1612937
edited 2 days ago
YuiTo Cheng
2,1612937
edited 2 days ago
YuiTo Cheng
2,1612937
2,1612937
asked 2 days ago
Anirudh SharmaAnirudh Sharma
1
New contributor
Anirudh Sharma is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
asked 2 days ago
Anirudh SharmaAnirudh Sharma
1
asked 2 days ago
Anirudh SharmaAnirudh Sharma
1
1
New contributor
Anirudh Sharma is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
New contributor
Anirudh Sharma is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
Anirudh Sharma is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
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: "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
);
);
Anirudh Sharma 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%2fmath.stackexchange.com%2fquestions%2f3164653%2fwhy-is-the-likelihood-for-bayesian-liner-regression-in-that-form%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
Anirudh Sharma is a new contributor. Be nice, and check out our Code of Conduct.
Anirudh Sharma is a new contributor. Be nice, and check out our Code of Conduct.
Anirudh Sharma is a new contributor. Be nice, and check out our Code of Conduct.
Anirudh Sharma is a new contributor. Be nice, and check out our Code of Conduct.
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%2f3164653%2fwhy-is-the-likelihood-for-bayesian-liner-regression-in-that-form%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
