“…However, it has hardly been applied to analyze productivity change of regulated sectors [ 29 , 30 ]. Moreover, while several studies have used a translog cost specification to estimate productivity change in water industry [ 18 , 31 ], to the best of our knowledge, the quadratic cost function to estimate the productivity change on the water sector has been hardly researched. Furthermore, as Triebs et al [ 26 ], Molinos-Senante and Maziotis [ 12 , 32 ] noted that there are several advantages for choosing a quadratic cost function over other functional forms such as a translog, composite or generalized composite which have also been used in other studies [ 9 , 10 , 33 , 34 ].…”