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Is it possible that AIC = BIC?


AIC & BIC number interpretationAIC, BIC, DIC, model selection criteriaAIC,BIC,CIC,DIC,EIC,FIC,GIC,HIC,IIC — Can I use them interchangeably?AIC, BIC and GCV: what is best for making decision in penalized regression methods?How do you derive AIC and BIC for discrete-valued observables?Combining AIC and BICOverview of selection method for p-order of AR($p$) modelAre there circumstances in which BIC is useful and AIC is not?Use BIC or AIC as approximation for Bayesian Model AveragingVAR lag selection tests: Which one do I choose?













5












$begingroup$


Two well-known (and related) measures of model complexity from statistics are the Akaike Information Criterion (AIC) and the Bayesian Information
Criterion (BIC).



When might AIC = BIC?










share|cite|improve this question









New contributor




Jan is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.







$endgroup$







  • 5




    $begingroup$
    You should try writing down the formulas and setting them equal to each other :) You will get the answer immediately.
    $endgroup$
    – guy
    9 hours ago















5












$begingroup$


Two well-known (and related) measures of model complexity from statistics are the Akaike Information Criterion (AIC) and the Bayesian Information
Criterion (BIC).



When might AIC = BIC?










share|cite|improve this question









New contributor




Jan is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.







$endgroup$







  • 5




    $begingroup$
    You should try writing down the formulas and setting them equal to each other :) You will get the answer immediately.
    $endgroup$
    – guy
    9 hours ago













5












5








5





$begingroup$


Two well-known (and related) measures of model complexity from statistics are the Akaike Information Criterion (AIC) and the Bayesian Information
Criterion (BIC).



When might AIC = BIC?










share|cite|improve this question









New contributor




Jan is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.







$endgroup$




Two well-known (and related) measures of model complexity from statistics are the Akaike Information Criterion (AIC) and the Bayesian Information
Criterion (BIC).



When might AIC = BIC?







aic bic






share|cite|improve this question









New contributor




Jan is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.











share|cite|improve this question









New contributor




Jan is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.









share|cite|improve this question




share|cite|improve this question








edited 8 hours ago









Richard Hardy

27.7k641128




27.7k641128






New contributor




Jan is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
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asked 9 hours ago









JanJan

1261




1261




New contributor




Jan is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
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New contributor





Jan is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.






Jan is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.







  • 5




    $begingroup$
    You should try writing down the formulas and setting them equal to each other :) You will get the answer immediately.
    $endgroup$
    – guy
    9 hours ago












  • 5




    $begingroup$
    You should try writing down the formulas and setting them equal to each other :) You will get the answer immediately.
    $endgroup$
    – guy
    9 hours ago







5




5




$begingroup$
You should try writing down the formulas and setting them equal to each other :) You will get the answer immediately.
$endgroup$
– guy
9 hours ago




$begingroup$
You should try writing down the formulas and setting them equal to each other :) You will get the answer immediately.
$endgroup$
– guy
9 hours ago










1 Answer
1






active

oldest

votes


















12












$begingroup$

As a reminder:



$$AIC = - 2 log mathcalL(hattheta|X)+2k $$



$$BIC = - 2 log mathcalL(hattheta|X)+k ln(n)$$



So for what values of $n$ is $2 = ln(n)$?






share|cite|improve this answer









$endgroup$








  • 1




    $begingroup$
    (+1) I noticed that for $BIC$ you write $log$ and $ln$ in the same expression. Is this distinction necessary?
    $endgroup$
    – Sycorax
    2 hours ago











  • $begingroup$
    Both logarithms have $e$ as their basis. It is just that log-likelihood (instead of ln-likelihood) is the term we use to describe the natural logarithm of the likelihood.
    $endgroup$
    – Stats
    2 hours ago











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1 Answer
1






active

oldest

votes








1 Answer
1






active

oldest

votes









active

oldest

votes






active

oldest

votes









12












$begingroup$

As a reminder:



$$AIC = - 2 log mathcalL(hattheta|X)+2k $$



$$BIC = - 2 log mathcalL(hattheta|X)+k ln(n)$$



So for what values of $n$ is $2 = ln(n)$?






share|cite|improve this answer









$endgroup$








  • 1




    $begingroup$
    (+1) I noticed that for $BIC$ you write $log$ and $ln$ in the same expression. Is this distinction necessary?
    $endgroup$
    – Sycorax
    2 hours ago











  • $begingroup$
    Both logarithms have $e$ as their basis. It is just that log-likelihood (instead of ln-likelihood) is the term we use to describe the natural logarithm of the likelihood.
    $endgroup$
    – Stats
    2 hours ago
















12












$begingroup$

As a reminder:



$$AIC = - 2 log mathcalL(hattheta|X)+2k $$



$$BIC = - 2 log mathcalL(hattheta|X)+k ln(n)$$



So for what values of $n$ is $2 = ln(n)$?






share|cite|improve this answer









$endgroup$








  • 1




    $begingroup$
    (+1) I noticed that for $BIC$ you write $log$ and $ln$ in the same expression. Is this distinction necessary?
    $endgroup$
    – Sycorax
    2 hours ago











  • $begingroup$
    Both logarithms have $e$ as their basis. It is just that log-likelihood (instead of ln-likelihood) is the term we use to describe the natural logarithm of the likelihood.
    $endgroup$
    – Stats
    2 hours ago














12












12








12





$begingroup$

As a reminder:



$$AIC = - 2 log mathcalL(hattheta|X)+2k $$



$$BIC = - 2 log mathcalL(hattheta|X)+k ln(n)$$



So for what values of $n$ is $2 = ln(n)$?






share|cite|improve this answer









$endgroup$



As a reminder:



$$AIC = - 2 log mathcalL(hattheta|X)+2k $$



$$BIC = - 2 log mathcalL(hattheta|X)+k ln(n)$$



So for what values of $n$ is $2 = ln(n)$?







share|cite|improve this answer












share|cite|improve this answer



share|cite|improve this answer










answered 8 hours ago









StatsStats

50619




50619







  • 1




    $begingroup$
    (+1) I noticed that for $BIC$ you write $log$ and $ln$ in the same expression. Is this distinction necessary?
    $endgroup$
    – Sycorax
    2 hours ago











  • $begingroup$
    Both logarithms have $e$ as their basis. It is just that log-likelihood (instead of ln-likelihood) is the term we use to describe the natural logarithm of the likelihood.
    $endgroup$
    – Stats
    2 hours ago













  • 1




    $begingroup$
    (+1) I noticed that for $BIC$ you write $log$ and $ln$ in the same expression. Is this distinction necessary?
    $endgroup$
    – Sycorax
    2 hours ago











  • $begingroup$
    Both logarithms have $e$ as their basis. It is just that log-likelihood (instead of ln-likelihood) is the term we use to describe the natural logarithm of the likelihood.
    $endgroup$
    – Stats
    2 hours ago








1




1




$begingroup$
(+1) I noticed that for $BIC$ you write $log$ and $ln$ in the same expression. Is this distinction necessary?
$endgroup$
– Sycorax
2 hours ago





$begingroup$
(+1) I noticed that for $BIC$ you write $log$ and $ln$ in the same expression. Is this distinction necessary?
$endgroup$
– Sycorax
2 hours ago













$begingroup$
Both logarithms have $e$ as their basis. It is just that log-likelihood (instead of ln-likelihood) is the term we use to describe the natural logarithm of the likelihood.
$endgroup$
– Stats
2 hours ago





$begingroup$
Both logarithms have $e$ as their basis. It is just that log-likelihood (instead of ln-likelihood) is the term we use to describe the natural logarithm of the likelihood.
$endgroup$
– Stats
2 hours ago











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