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Entropy index

mathematical formula
Entropy index (EI), also known as Intobi index. [1]
Chinese name
Entropy index
Foreign name
entropy index

Index Introduction

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Entropy index (EI) borrowed information theory The concept of entropy has the meaning of average information, and its definition formula is:
Where, EI is the entropy index; S i Is the market share (sales or added value, etc.) of the i-th enterprise; N is the total number of enterprises in the market. [1]
The larger the EI value, the smaller the market concentration. The smaller the EI value, the greater the market concentration.

Similarities and differences

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E index and HHI index have some common points: both are comprehensive indexes, which reflect the situation of all enterprises in the market; Both are the sum of the market shares of the enterprise.
E Index vs HHI Index There are also some differences: the weights assigned to each enterprise's market share are different. The weight of HHI index is market share, while E index is based on the logarithm of the reciprocal of market share; The two give different weights to small enterprises. The E index gives more weight to small enterprises, which are vulnerable to the number of enterprises with a share of less than 1%, while the HHI index is basically not affected by this.