Skip to main content
Cross Validated

Return to Answer

improed formatting
Source Link
Scortchi ♦
Scortchi ♦
  • 31.6k
  • 9
  • 102
  • 282

$L$ is not a joint probability (joint cumulative probability density) but joint probability density. Since density only needs to be non-negative and is not bounded from above, $ln(L)$$\operatorname{ln}(L)$ can be both positive and negative. Hence, $AIC$ can also be both positive and negative.

$L$ is not a joint probability (joint cumulative probability density) but joint probability density. Since density only needs to be non-negative and is not bounded from above, $ln(L)$ can be both positive and negative. Hence, $AIC$ can also be both positive and negative.

$L$ is not a joint probability (joint cumulative probability density) but joint probability density. Since density only needs to be non-negative and is not bounded from above, $\operatorname{ln}(L)$ can be both positive and negative. Hence, $AIC$ can also be both positive and negative.

Source Link
Richard Hardy
Richard Hardy
  • 69.5k
  • 13
  • 126
  • 278

$L$ is not a joint probability (joint cumulative probability density) but joint probability density. Since density only needs to be non-negative and is not bounded from above, $ln(L)$ can be both positive and negative. Hence, $AIC$ can also be both positive and negative.