Difference in Probability Measure vs. Probability Distribution I am trying to better understand the Difference in "Probability Measure" and "Probability Distribution"
I came across the following link : https://math.stackexchange.com/questions/1073744/distinguishing-probability-measure-function-and-distribution
" The difference between the terms "probability measure" and "probability distribution" is in some ways more of a difference in connotation of the terms rather than a difference between the things that the terms refer to. It's more about the way the terms are used. "
The answer over here suggests that these two concepts might be the same thing?
In this case - could we consider the "Normal Probability Distribution Function" as a "Probability Measure"?
Thanks!

The concept of a "probability distribution" is an umbrella term that refers to a particular type of object that can be represented uniquely in multiple ways.  One way to represent a probability distribution is through its probability measure, another is through its characteristic function, another is through its cumulative distribution function, and another is through its probability density function (including specification of a dominating measure for the density).  All of the latter are specific mathematical objects that describe a probability distribution in a different way.  The term "probability distribution" does not refer to a specific mathematical object; it can be thought of as an umbrella term that refers holistically to the "thing" that each of these objects is describing.
