Paik, Minja et Nebenzahl, Elliott, The Overall Percentile Rank versus the Individual Percentile Ranks, American statistician , 41(2), 1987, pp. 136-138
An interesting phenomenon occurs when the percentile rank of the sum of two scores is expressed as a function of the percentile ranks of individual scores.The article discusses their interrelationships under two separate models for the bivariate distribution.