Log-likelihood function reference












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$begingroup$


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?










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$endgroup$












  • $begingroup$
    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










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