Update Issues with covaraince matrix authored by Soumen Roy's avatar Soumen Roy
...@@ -73,11 +73,6 @@ The effective-rank of the covariance matrix needs to be tuned for each event usi ...@@ -73,11 +73,6 @@ The effective-rank of the covariance matrix needs to be tuned for each event usi
## Rank versus $`\beta`$ for off-source samples ## Rank versus $`\beta`$ for off-source samples
<img src="uploads/fe96e535c7f921b3b65f8ba209c47d68/beta_lambda_nalpha_2_.png" width="440" > <img src="uploads/fe96e535c7f921b3b65f8ba209c47d68/beta_lambda_nalpha_2_.png" width="440" >
<img src="uploads/27ac1831fe2b94185cc51bcdba11d53c/beta_lambda_nalpha_3_.png" width="440" > <img src="uploads/27ac1831fe2b94185cc51bcdba11d53c/beta_lambda_nalpha_3_.png" width="440" >
The above figuers show the variation in $`\beta`$ with respect to the rank of the covariance matrix for off-source samples. The plots are produced using the off-source samples obtained for maximum likelihood samples which are reported in the above tables. We can see that the $`\beta`$ values are nearly equal to zero when the rank is very low. But, its modulus value increases sharply when the rank of the matrix O(10).
The right plot shows ra