The Extended Link Ratio Family (ELRF) modeling framework formulates average link ratio methods as regression estimators and extends them. This includes Mack (volume weighted averages), other weighted averages and extensions:
-Murphy (an intercept)
-A constant trend in the incrementals for each development period down the accident years
-Optimal combinations of intercepts, trends, and link ratios
-Control over variance assumptions (delta)
Standard deviations are computed analytically in all cases.