I have seen few papers where generalized order statistics is used to obtain statistics of the instantaneous SNR.
"Performance analysis of monostatic multi-tag backscatter systems with general order tag selection" by Yazan H. Al-Badarneh, Mohamed-Slim Alouini and Costas N. Georghiades.
"Order statistics in wireless communications: diversity, adaptation, and scheduling in MIMO and OFDM systems" (Book) by HC Yang, MS Alouini.
"A study on the second order statistics of Nakagami-Hoyt mobile fading channels" by N Youssef, CX Wang, M Patzold .
My query is " Is there any particular situation wherein one cannot use generalized order statistics at the receiver ?"
Any help in this regard will be highly appreciated.