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动态统计指数理论探讨 被引量:9

The Theoretic Research of Dynamic Statistical Indexes
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摘要 After a research on the stochastic property of individual index, the paper examined the individual price index and the individual quantity index of the whole goods of a society under the probability space. On the basis of the examination, the paper made a conclusion that the stochastic vector (X,Y) are approximately subjects to the dual normal distribution, and found the true values of price index EZ and quantity index EY under different economic environment in witch supply or demand plays the major role in different periods of time. The paper also argued that as long as the sample size n of representative goods are getting large, the price index of representative goods will approach the true value of price index of all goods. This shows that the price index of representative goods is a good estimate value of the true values of price index EZ of all goods in a society. After a research on the stochastic property of individual index, the paper examined the individual price index and the individual quantity index of the whole goods of a society under the probability space. On the basis of the examination, the paper made a conclusion that the stochastic vector (X,Y) are approximately subjects to the dual normal distribution, and found the true values of price index EZ and quantity index EY under different economic environment in witch supply or demand plays the major role in different periods of time. The paper also argued that as long as the sample size n of representative goods are getting large, the price index of representative goods will approach the true value of price index of all goods. This shows that the price index of representative goods is a good estimate value of the true values of price index EZ of all goods in a society.
作者 孙慧钧
出处 《统计研究》 CSSCI 北大核心 2005年第2期13-19,共7页 Statistical Research
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参考文献3

  • 1Allen, R. G. D. 1975. Index Numbers in Theory and Practice. New York MaCmillan Press.
  • 2Balk, B. M. 198-. A method for constructing prioe indices for seasonalcommodities. Joumal of the Royal Statistical Society.
  • 3科克伦.抽样技术(中文1版)[M].北京:中国统计出版社,1985..

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