Returns the Gumbel log cumulative distribution for the given location and scale. 
Given containers of matching sizes, returns the log sum of probabilities.
- Template Parameters
 - 
  
    | T_y | type of real parameter  | 
    | T_loc | type of location parameter  | 
    | T_scale | type of scale parameter  | 
  
   
- Parameters
 - 
  
    | y | real parameter  | 
    | mu | location parameter  | 
    | beta | scale parameter  | 
  
   
- Returns
 - log probability or log sum of probabilities 
 
- Exceptions
 - 
  
    | std::domain_error | if y is nan, mu is infinite, or beta is nonpositive  | 
    | std::invalid_argument | if container sizes mismatch  | 
  
   
Definition at line 38 of file gumbel_lcdf.hpp.