Hello! I am struggling on knowing how to derive the general form of the Stochastic Frontier Analysis model (equation 1) into Logarithmic form of translog production function (equation2) and the technical inefficiency effect question 3. Could you tell me how to derive this in step by step. I am bad at math but honestly I want to understand this part. Please help me derive these equations. Thank you so much. Your help will be forever cherished.

and Meeusen and Van den Broeck [29]. The most commonly used package for estimation of SHA model is FRONTIER 4.1c (see Coelli [30]). The general form of the SEA model: In yit = Ln f (Zip t ; B) + Dit -Wiz (1) where In indicates the natural logarithm function form; y; and rip denotes rice production output(s) and input(s) within period , respectively; 8 represents estimated coefficients; Dit is statistical random error, assumed to be normal distribution, of ~ N (0,03); my denotes technical inefficiency, assumed to be truncated normal distribution, u, ~ |N (0,07) |; ;, and uit are assumed to be independent; i= 1,2 ... ,N; N is number of measurement unit (MU;), Le., total samples; and t is time variable measured as year, t = 1,2, . .. ,T. According to [15]. "Frontier" refers to a bounding function, which provided benefits of heavily influencing of the best performing firms in in a field (of economics), that always reflect the technology they are using. Additionally, the frontier function represents a best-practice technology against which the efficiency of firms within the industry can be measured. Also called multi-factors productivity (MFP) in some lectures, like [25] economies 2016, 4, 22 4 of 17 The present study utilized the logarithmic form of translog production function, thus Equation (1) above can be written as: Lil yit = Bo + 2 , B, Lux, + Bit + 2 2, 2 xBALnxjuLuxkit + 2But2 + 2,Bjinx get + the - What. (2) The technical inefficiency effect can be expressed in following general form: (3)