Proper likelihood function of the ratio of two spectra

Click For Summary
The discussion focuses on conducting an unbinned likelihood analysis of the ratio of two spectra, represented as F(E) = S1(E)/S2(E). The user seeks guidance on how to input their data into this analysis, particularly since the process is more complex without binning. There is a mention of the need for a probability model to effectively perform likelihood analysis, highlighting the importance of understanding the underlying data distribution. Participants are encouraged to share insights on how to approach the unbinned likelihood analysis and the necessary probability models. The conversation emphasizes the challenges of working with unbinned data in likelihood estimation.
QuantumDefect
Messages
64
Reaction score
0
Hello PF'ers,

I am doing an unbinned likelihood analysis where I am analyzing the ratio of two spectra:
\[ \frac{S_{1}(E)}{S_{2}(E)} = F(E) \]

and each spectra,

\[ S_{1}, S_{2} \]

has its own data set. My first idea was to take the function, \[ F(E) \] and divide by the integral of the function to get a probability distribution but I am unsure how to input my data. If this was binned, it would be straight forward but in the unbinned case, it has stumped me. Anyone have any ideas? Thanks a bunch!
 
Physics news on Phys.org
QuantumDefect said:
Hello PF'ers,

I am doing an unbinned likelihood analysis

What is a likelihood analysis? (I've heard of maximum likelihood estimation and likelihood ratio tests.)

Things dealing with likelihood require a probability model. What is the probability model for you data?
 
If there are an infinite number of natural numbers, and an infinite number of fractions in between any two natural numbers, and an infinite number of fractions in between any two of those fractions, and an infinite number of fractions in between any two of those fractions, and an infinite number of fractions in between any two of those fractions, and... then that must mean that there are not only infinite infinities, but an infinite number of those infinities. and an infinite number of those...

Similar threads

  • · Replies 5 ·
Replies
5
Views
4K
  • · Replies 9 ·
Replies
9
Views
3K
Replies
1
Views
4K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 9 ·
Replies
9
Views
3K
  • · Replies 7 ·
Replies
7
Views
11K
Replies
8
Views
4K
  • · Replies 7 ·
Replies
7
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 7 ·
Replies
7
Views
4K