เปรียบเทียบวิธี

	Stochastic Frontier Model	Data Envelopment Analysis (Productivity)	การวิเคราะห์ส่วนหุ้มข้อมูล (แบบจำลอง CCR) สำหรับการจัดอันดับตามประสิทธิภาพ	การวิเคราะห์ชายแดนสโตแคสติก (SFA)
สาขาวิชา	เศรษฐศาสตร์	เศรษฐศาสตร์	การตัดสินใจ	เศรษฐมิติ
ตระกูล	Regression model	Process / pipeline	MCDM	Regression model
ปีกำเนิด	1977	1978	1978	1977
ผู้ริเริ่ม	Aigner, Lovell & Schmidt; Meeusen & van den Broeck	Charnes, Cooper & Rhodes (building on Farrell 1957)	Charnes, A., Cooper, W. W., Rhodes, E.	Aigner, Lovell & Schmidt (1977); Battese & Coelli (1995) for panels
ประเภท	Parametric stochastic production/cost frontier with composed error	Nonparametric linear-programming efficiency frontier	Non-parametric efficiency frontier (CCR model)	Frontier regression model
แหล่งต้นตำรับ	Aigner, D., Lovell, C. A. K., & Schmidt, P. (1977). Formulation and estimation of stochastic frontier production function models. Journal of Econometrics, 6(1), 21–37.	Charnes, A., Cooper, W. W., & Rhodes, E. (1978). Measuring the efficiency of decision making units. European Journal of Operational Research, 2(6), 429–444.	Charnes, A., Cooper, W. W., Rhodes, E. (1978). Measuring the efficiency of decision making units. European Journal of Operational Research	Aigner, D., Lovell, C.A.K. & Schmidt, P. (1977). Formulation and Estimation of Stochastic Frontier Production Function Models. Journal of Econometrics, 6(1), 21–37.
ชื่อเรียกอื่น	SFM, Stochastic Production Frontier, Composed-Error Frontier Model, Parametric Frontier Estimation	DEA Efficiency Analysis, Nonparametric Frontier Efficiency, CCR/BCC Efficiency Measurement, Production Frontier DEA	—	SFA, stochastic frontier model, stochastic production frontier, Stokastik Sınır Analizi (SFA)
ที่เกี่ยวข้อง	3	5	0	3
สรุป	The stochastic frontier model is a parametric method for estimating productive efficiency that separates a producer's shortfall from best practice into two parts: genuine inefficiency and random noise. Introduced independently in 1977 by Aigner, Lovell, and Schmidt and by Meeusen and van den Broeck, it specifies a production (or cost) function with a composed error term — a symmetric disturbance for luck and measurement error plus a one-sided, non-negative term for inefficiency — and estimates it by maximum likelihood, yielding firm-specific efficiency scores that, unlike deterministic methods, are robust to statistical noise.	Data envelopment analysis (DEA) is a nonparametric, linear-programming technique for measuring the relative productive efficiency of comparable units — firms, plants, hospitals, schools, bank branches — that convert multiple inputs into multiple outputs. Introduced by Charnes, Cooper, and Rhodes in 1978 and rooted in Farrell's 1957 work on efficiency measurement, it constructs a best-practice frontier that envelops the observed data and scores each unit by its distance to that frontier, requiring no assumed functional form for the production technology.	DEA (Data Envelopment Analysis (CCR model) for efficiency-based ranking) is a dea multi-criteria decision-making (MCDM) method introduced by Charnes, A., Cooper, W. W., Rhodes, E. in 1978. It turns a decision matrix of alternatives scored on multiple criteria into a structured, reproducible result.	Stochastic Frontier Analysis is a frontier regression model, introduced by Aigner, Lovell and Schmidt in 1977, that estimates a production, cost, or profit function while separating each unit's technical inefficiency from ordinary statistical noise. It splits the error term into a symmetric random component and a one-sided inefficiency component, producing firm- or country-level efficiency scores.