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ON THE INCREMENTS DISTRIBUTION OF STOCK PRICES

ON THE INCREMENTS DISTRIBUTION OF STOCK PRICES
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摘要 In this paper,the models of increment distributions of stock price are constructed with two approaches. The first approach is based on limit theorems of random summation. The second approach is based on the statistical analysis of the increment distribution of the logarithms of stock prices. In this paper,the models of increment distributions of stock price are constructed with two approaches. The first approach is based on limit theorems of random summation. The second approach is based on the statistical analysis of the increment distribution of the logarithms of stock prices.
出处 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2001年第3期315-322,共8页 高校应用数学学报(英文版)(B辑)
基金 the NSFC(79970 0 2 2 ) and Aviation Fund(98J531 2 5)
关键词 Increment distributions of stock price Cox process mixing distribution. Increment distributions of stock price,Cox process,mixing distribution.
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参考文献6

  • 1Gnedenko,B. V. and Korolev, V. Yu.,Random Summation: Limit Theorem and Applications, CRC Press,Boca Raton,Florida, 1996.
  • 2Korolev,V. Yu.,The construction of models of distributions of stock prices by themethods of the asymptotic theory of random summation,-Surveys in Applied and IndustrialMathematics,Ser. Financial and Insurance Mathematics, 1997,4(1):86-102.
  • 3Hull,J.,Options,Futures and Other Derivative Securities,Pretice-Hall,NewYork-London, 1989.
  • 4Zolotarev,V. M.,One-dimensional Stable Distributions,American MathematicalSociety,Provindence,RI, 1985.
  • 5Borndorff-Nielsen,O. E.,Gaussian \\ Inverse Gaussian Processes and the Modeling ofStock Returns,Preprint. Aarhus,Aarhus University,04 October 1994.
  • 6Bagirov,E. B.,The method of mixtures and its application to the deduction of lowerestimates for the distributions of functions of normal random variables,PhD thesis,Steklov Mathematical Institute,Moscow, 1988.

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