在经济学中，生产函数是描述输入和输出之间关系的方程，或者是制造某种产品的关系，而Cobb-Douglas生产函数是一个特定的标准方程，用于描述两个或更多的输出量投入到生产过程中，资本和劳动力是所描述的典型输入。 Cobb-Douglas生产公式的方程式，其中K表示大写，L表示劳动输入，a，b和c表示非负常数，如下：f（K，L）= bKaLc。如果a + c = 1，则该生产函数具有不变的规模收益，因此它将被认为是线性均匀的。由于这是一个标准情况，人们经常写（1-a）代替c。同样重要的是要注意，技术上Cobb-Douglas生产函数可以有两个以上的输入，在这种情况下，函数形式类似于上面所示的。由经济学家Paul Douglas和数学家Charles Cobb开发的Cobb-Douglas生产函数通常用于宏观经济学和微观经济学模型，因为它们具有许多方便和现实的特性。幸运的是，大多数早期对柯布 – 道格拉斯函数的批评是基于他们对此事的研究方法 – 基本上经济学家认为，当时它与真实的生产业务资本，劳动时间相关时，没有足够的统计证据可供观察当时工作或完成总产量。随着这种关于国家经济的统一理论的引入，科布和道格拉斯转变了与微观和宏观经济观点相关的全球话语。此外，经过20年的研究，当1947年美国人口普查数据出来并且Cobb-Douglas模型应用于其数据时，该理论仍然成立。当道格拉斯和科布从1927年到1947年进行数学和经济研究时，他们观察到了那个时期的稀疏统计数据集，并得出了世界各发达国家经济的结论：资本与劳动力之间存在直接关联。在一定时间内生产的所有商品的实际价值。重要的是要理解资本和劳动是如何在这些术语中定义的，因为Douglas和Cobb的假设在经济理论和修辞学的背景下是有意义的。在这里，资本表示所有机器，零件，设备，设施和建筑物的实际价值，而劳动力占员工在一定时间内工作的总小时数。基本上，这个理论认为机器的价值和工时的数量直接关系到生产总产出。虽然这个概念在表面上看起来相当合理，但是在1947年首次出版时，Cobb-Douglas的生产函数受到了许多批评。从那时起，已经开发了许多其他类似的集合和经济范围的理论，功能和公式。缓解统计相关过程;柯布 – 道格拉斯的生产函数仍然用于分析世界各地现代，发达和稳定国家的经济。
In economics, a production function is an equation that describes the relationship between input and output, or what goes into making a certain product, and a Cobb-Douglas production function is a specific standard equation that is applied to describe how much output two or more inputs into a production process make, with capital and labor being the typical inputs described. The equation for the Cobb-Douglas production formula, wherein K represents capital, L represents labor input and a, b, and c represent non-negative constants, is as follows: f(K,L) = bKaLc. If a+c=1 this production function has constant returns to scale, and it would thus be considered linearly homogeneous. As this is a standard case, one often writes (1-a) in place of c. It’s also important to note that technically a Cobb-Douglas production function could have more than two inputs, and the functional form, in this case, is analogous to what is shown above. Developed by economist Paul Douglas and mathematician Charles Cobb, Cobb-Douglas production functions are commonly used in both macroeconomics and microeconomics models because they have a number of convenient and realistic properties. Fortunately, most early criticism of the Cobb-Douglas functions was based on their methodology of research into the matter—essentially economists argued that the pair did not have enough statistical evidence to observe at the time as it related to true production business capital, labor hours worked, or complete total production outputs at the time. With the introduction of this unifying theory on national economies, Cobb and Douglas shifted the global discourse at it related to micro- and macroeconomic perspective. Furthermore, the theory stood true after 20 years of research when the 1947 United States Census data came out and the Cobb-Douglas model was applied to its data. When Douglas and Cobb were conducting research on mathematics and economies from 1927 to 1947, they observed sparse statistical data sets from that time period and came to a conclusion about economies in developed countries around the world: there was a direct correlation between capital and labor and the real value of all goods produced within a timeframe. It’s important to understand how capital and labor are defined in these terms, as the assumption by Douglas and Cobb make sense in the context of economic theory and rhetoric. Here, capital indicates the real value of all machinery, parts, equipment, facilities, and buildings while labor accounts for the total number of hours worked within a timeframe by employees. Basically, this theory then posits that the value of the machinery and the number of person-hours worked directly relate to the gross output of production. Although this concept is reasonably sound on the surface, there were a number of criticisms Cobb-Douglas production functions received when first published in 1947. Since then, a number of other similar aggregate and economy-wide theories, functions, and formulas have been developed to ease the process of statistical correlation; the Cobb-Douglas production functions are still used in analyses of economies of modern, developed, and stable nations around the world.