Log-likelihood function reference












0












$begingroup$


I am learning a code that uses CUSUM to detect changes. The code uses log-likelihood function:



logp = stepsize*basesd/variance * (data[k] - mean - stepsize*basesd/2.) (instantaneous log-likelihood for current sample assuming local baseline has jumped in the positive direction)



logn = -stepsize*basesd/variance * (data[k] - mean + stepsize*basesd/2.) (instantaneous log-likelihood for current sample assuming local baseline has jumped in the negative direction)



May I know from where i can learn this function whose formula is implemented that way or in a similar manner?










share|cite|improve this question









$endgroup$












  • $begingroup$
    What is $CUSUM$?
    $endgroup$
    – David G. Stork
    Dec 21 '18 at 9:59










  • $begingroup$
    CUSUM is used accumulate small changes in local baseline (I'm dealing with electrical signal) due to random noise and not due to persistent change
    $endgroup$
    – codingnoob
    Jan 5 at 1:17
















0












$begingroup$


I am learning a code that uses CUSUM to detect changes. The code uses log-likelihood function:



logp = stepsize*basesd/variance * (data[k] - mean - stepsize*basesd/2.) (instantaneous log-likelihood for current sample assuming local baseline has jumped in the positive direction)



logn = -stepsize*basesd/variance * (data[k] - mean + stepsize*basesd/2.) (instantaneous log-likelihood for current sample assuming local baseline has jumped in the negative direction)



May I know from where i can learn this function whose formula is implemented that way or in a similar manner?










share|cite|improve this question









$endgroup$












  • $begingroup$
    What is $CUSUM$?
    $endgroup$
    – David G. Stork
    Dec 21 '18 at 9:59










  • $begingroup$
    CUSUM is used accumulate small changes in local baseline (I'm dealing with electrical signal) due to random noise and not due to persistent change
    $endgroup$
    – codingnoob
    Jan 5 at 1:17














0












0








0





$begingroup$


I am learning a code that uses CUSUM to detect changes. The code uses log-likelihood function:



logp = stepsize*basesd/variance * (data[k] - mean - stepsize*basesd/2.) (instantaneous log-likelihood for current sample assuming local baseline has jumped in the positive direction)



logn = -stepsize*basesd/variance * (data[k] - mean + stepsize*basesd/2.) (instantaneous log-likelihood for current sample assuming local baseline has jumped in the negative direction)



May I know from where i can learn this function whose formula is implemented that way or in a similar manner?










share|cite|improve this question









$endgroup$




I am learning a code that uses CUSUM to detect changes. The code uses log-likelihood function:



logp = stepsize*basesd/variance * (data[k] - mean - stepsize*basesd/2.) (instantaneous log-likelihood for current sample assuming local baseline has jumped in the positive direction)



logn = -stepsize*basesd/variance * (data[k] - mean + stepsize*basesd/2.) (instantaneous log-likelihood for current sample assuming local baseline has jumped in the negative direction)



May I know from where i can learn this function whose formula is implemented that way or in a similar manner?







log-likelihood






share|cite|improve this question













share|cite|improve this question











share|cite|improve this question




share|cite|improve this question










asked Dec 21 '18 at 9:48









codingnoobcodingnoob

1




1












  • $begingroup$
    What is $CUSUM$?
    $endgroup$
    – David G. Stork
    Dec 21 '18 at 9:59










  • $begingroup$
    CUSUM is used accumulate small changes in local baseline (I'm dealing with electrical signal) due to random noise and not due to persistent change
    $endgroup$
    – codingnoob
    Jan 5 at 1:17


















  • $begingroup$
    What is $CUSUM$?
    $endgroup$
    – David G. Stork
    Dec 21 '18 at 9:59










  • $begingroup$
    CUSUM is used accumulate small changes in local baseline (I'm dealing with electrical signal) due to random noise and not due to persistent change
    $endgroup$
    – codingnoob
    Jan 5 at 1:17
















$begingroup$
What is $CUSUM$?
$endgroup$
– David G. Stork
Dec 21 '18 at 9:59




$begingroup$
What is $CUSUM$?
$endgroup$
– David G. Stork
Dec 21 '18 at 9:59












$begingroup$
CUSUM is used accumulate small changes in local baseline (I'm dealing with electrical signal) due to random noise and not due to persistent change
$endgroup$
– codingnoob
Jan 5 at 1:17




$begingroup$
CUSUM is used accumulate small changes in local baseline (I'm dealing with electrical signal) due to random noise and not due to persistent change
$endgroup$
– codingnoob
Jan 5 at 1:17










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
});


}
});














draft saved

draft discarded


















StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3048345%2flog-likelihood-function-reference%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
















draft saved

draft discarded




















































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.




draft saved


draft discarded














StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3048345%2flog-likelihood-function-reference%23new-answer', 'question_page');
}
);

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







Popular posts from this blog

Quarter-circle Tiles

build a pushdown automaton that recognizes the reverse language of a given pushdown automaton?

Mont Emei