What are the various approaches to the measurement of total factor productivity? Explain.

Total Factor Productivity (TFP) is a crucial concept in the economics of growth and development, representing the efficiency with which inputs such as labor and capital are utilized in the production process. It captures the portion of output growth that cannot be explained by the accumulation of inputs and is often associated with technological progress, efficiency improvements, and institutional changes. Several approaches have been developed to measure TFP, each with its own strengths and limitations.  

1. Growth Accounting Approach  
The growth accounting approach, pioneered by Solow, decomposes output growth into contributions from factor inputs (capital and labor) and a residual component attributed to TFP. The production function typically takes the Cobb-Douglas form:  
\[ Y = A K^\alpha L^{1-\alpha} \]  
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