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删除15字节 、 2020年10月28日 (三) 14:51
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Note that H(Y ǀ X) is the result of averaging H(Y ǀ X = x) over all possible values <math>x</math> that <math>X</math> may take. Also, if the above sum is taken over a sample <math>y_1, \dots, y_n</math>, the expected value <math>E_X[ \Eta(y_1, \dots, y_n \mid X = x)]</math> is known in some domains as '''equivocation'''.<ref>{{cite journal|author1=Hellman, M.|author2=Raviv, J.|year=1970|title=Probability of error, equivocation, and the Chernoff bound|journal=IEEE Transactions on Information Theory|volume=16|issue=4|pp=368-372}}</ref>
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Note that H(Y ǀ X) is the result of averaging H(Y ǀ X = x) over all possible values <math>x</math> that <math>X</math> may take. Also, if the above sum is taken over a sample <math>y_1, \dots, y_n</math>, the expected value <math>E_X[ H(y_1, \dots, y_n \mid X = x)]</math> is known in some domains as '''equivocation'''.<ref>{{cite journal|author1=Hellman, M.|author2=Raviv, J.|year=1970|title=Probability of error, equivocation, and the Chernoff bound|journal=IEEE Transactions on Information Theory|volume=16|issue=4|pp=368-372}}</ref>
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注意,H(Y ǀ X)是在<math>X</math>可能取的所有可能值<math>x</math>上对H(Y ǀ X = x)求平均值的结果。同样,如果将上述总和接管到样本<math>y_1, \dots, y_n</math>上,则预期值<math>E_X[ \Eta(y_1, \dots, y_n \mid X = x)]</math>在某些领域中会变得不那么明确。<ref>{{cite journal|author1=Hellman, M.|author2=Raviv, J.|year=1970|title=Probability of error, equivocation, and the Chernoff bound|journal=IEEE Transactions on Information Theory|volume=16|issue=4|pp=368-372}}</ref>
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注意,H(Y ǀ X)是在<math>X</math>可能取的所有可能值<math>x</math>上对H(Y ǀ X = x)求平均值的结果。同样,如果将上述总和接管到样本<math>y_1, \dots, y_n</math>上,则预期值<math>E_X[ H(y_1, \dots, y_n \mid X = x)]</math>在某些领域中会变得模糊。<ref>{{cite journal|author1=Hellman, M.|author2=Raviv, J.|year=1970|title=Probability of error, equivocation, and the Chernoff bound|journal=IEEE Transactions on Information Theory|volume=16|issue=4|pp=368-372}}</ref>
     
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