# Does "not to be" mean "does not" or "should not"?

In statistics, the likelihood function (often simply called the likelihood) expresses the plausibilities of different parameter values for a given sample of data. While not to be interpreted as a probability, it is equal to the joint probability distribution of a random sample. However, whereas the latter is a density function defined on the sample space for a particular choice of parameter values, the likelihood function is defined on the parameter space while the random variable is fixed at the given observations.

What does "While not to be interpreted as a probability" mean here? Especially "not to be".

Does it imply this meaning (my own version)?

although mathematician/statistician does interpret this object as a probability...

• It just says that we shouldn't interpret the likelihood as probability. Oct 12, 2019 at 2:57
• Although inferential statistics is definitely not my strong suit, this definitely says that the likelihood is not a probability. If you want this explicated further, I suggest you try at a math site specializing in inferential statistics. Oct 13, 2019 at 1:41