I'm reading an older statistical paper (1994 - not too old, but before computers were in every office) and the author writes the following:
From (#) we see that $\mathbf P$ satisfies the distributional equation $$\mathbf P \stackrel{st}{=}\theta_1\mathbf D + (1 - \theta_1)\mathbf P$$
I should add for clarity that $\mathbf P$ is a vector obtained by applying a random probability measure on a measurable partition of the sample space and $\mathbf D$ is a series of indicator variables with respect to the same partition.
I think I understand what's going on in the paper, and it would make sense based on this (and other uses in the paper) for this symbol to indicate equality in distribution - but I've never seen that notation before. (I've always seen it written with a lower case $d$: (e.g. $\stackrel{d}{=}$). Is the "obvious" definition correct, or am I missing something subtle?
For anyone interested (or who found my explanation overly simplistic), a link to the whole paper is here: http://www3.stat.sinica.edu.tw/statistica/j4n2/j4n216/j4n216.htm It should be open access. My goal is simply to verify the meaning of the symbol.
Thanks!