A continuous random variable $X$ is defined in a domain $A$ which is the union of two non-overlaping subdomains $B$ and $C$. When analysing the distribution of $X$, one could calculate the PDF of $X$ considering the whole domain $A$, or two PDFs, one for each subdomain separately.

It proved more useful to calculate two functions, one for each subdomain, normalized in such a way that the integral of each function equals the relative size of the subdomain to the whole domain. The sum of these two functions is a PDF, but not each one individually. Is there a name for such a function?

  • $\begingroup$ Would "partial probability distribution function" work? $\endgroup$ – toliveira Mar 14 at 22:20
  • $\begingroup$ It's a mixture distribution. $\endgroup$ – dnqxt Mar 15 at 0:50
  • $\begingroup$ I understand that the sum of those two functions is a mixture distribution. Is there a name to refer to each of the functions? $\endgroup$ – toliveira Mar 25 at 19:24
  • $\begingroup$ Mixand or mixture component $\endgroup$ – dnqxt Mar 25 at 19:37
  • $\begingroup$ Thank you, dnqxt! I would like to accept it as the answer to register it for future users. If you don't mind, could you please copy it into the answer? $\endgroup$ – toliveira Mar 27 at 11:54

Such functions may be called mixands or mixture components.


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