A NEW INTERPRETATION OF INFORMATION RATE
A NEW INTERPRETATION OF INFORMATION RATE
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DOI：
10.1002/j.1538-7305.1956.tb03809.x
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发表时间：
1956-01-01
影响因子：
--
通讯作者：
KELLY, JL
中科院分区：
文献类型：
--
作者：
KELLY, JL
如果对通信信道的输入符号表示机会事件的结果，在该事件上，赌注的赔率与其概率一致(即，“公平”赔率)，则赌徒可以使用由接收到的符号给予他的知识来使他的钱呈指数增长。赌徒资金的最大指数增长率等于信息在渠道上的传输速度。这一结果被推广到包括任意赔率的情况。因此，我们发现即使没有考虑编码，传输速率也是显著的情况。以前，只有香农的一个定理才赋予这个量意义，该定理断言，通过适当的编码，二进制数字可以以这种速率在信道上以任意小的差错概率传输。
If the input symbols to a communication channel represent the outcomes of a chance event on which bets are available at odds consistent with their probabilities (i.e., “fair” odds), a gambler can use the knowledge given him by the received symbols to cause his money to grow exponentially. The maximum exponential rate of growth of the gambler's capital is equal to the rate of transmission of information over the channel. This result is generalized to include the case of arbitrary odds. Thus we find a situation in which the transmission rate is significant even though no coding is contemplated. Previously this quantity was given significance only by a theorem of Shannon's which asserted that, with suitable encoding, binary digits could be transmitted over the channel at this rate with an arbitrarily small probability of error.