مقایسهٔ روش‌ها

	Stochastic Frontier Model	تحلیل پوششی داده‌ها (مدل CCR) برای رتبه‌بندی مبتنی بر کارایی
حوزه	اقتصاد	تصمیم‌گیری
خانواده	Regression model	MCDM
سال پیدایش	1977	1978
پدیدآور	Aigner, Lovell & Schmidt; Meeusen & van den Broeck	Charnes, A., Cooper, W. W., Rhodes, E.
نوع	Parametric stochastic production/cost frontier with composed error	Non-parametric efficiency frontier (CCR model)
منبع بنیادین	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
نام‌های دیگر	SFM, Stochastic Production Frontier, Composed-Error Frontier Model, Parametric Frontier Estimation	—
مرتبط	3	0
خلاصه	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.	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.