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The Advance in Partial Distribution£ºA New Mathematical Tool for Economic Management

Author

Listed:
  • Feng Dai

    (Zhengzhou Information Engineering University)

  • Lin Liang

    (Zhengzhou Information Engineering University)

Abstract

In this paper, the Partial Distribution (PD) and multivariate Partial Distribution (MPD) are presented in their concepts, properties and applications, and PD is compared with the lognormal and the levy distribution. Though the levy distribution is better to describe the exchange returns in security market on a moderately large volatility range, the lognormal is better in a region of low values of volatility. We shall try to elucidate that Partial Distribution is better than lognormal distribution and levy distribution in many respects, and PD and MPD have some interesting properties which some other probability distributions have not. From PD and MPD, lots of interesting results can be acquired and many interesting economic propositions could be interpreted in analytic way. These properties could describe analytically many of phenomena in economic management better, and the results based on PD and MPD could be applied to solve many problems in economic management.

Suggested Citation

  • Feng Dai & Lin Liang, 2005. "The Advance in Partial Distribution£ºA New Mathematical Tool for Economic Management," Econometrics 0508001, EconWPA.
  • Handle: RePEc:wpa:wuwpem:0508001
    Note: Type of Document - pdf; pages: 12
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    References listed on IDEAS

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    1. Ross, Stephen A., 1976. "The arbitrage theory of capital asset pricing," Journal of Economic Theory, Elsevier, vol. 13(3), pages 341-360, December.
    2. Stephen A. Ross, 2005. "Mutual Fund Separation in Financial Theory—The Separating Distributions," World Scientific Book Chapters,in: Theory Of Valuation, chapter 10, pages 309-356 World Scientific Publishing Co. Pte. Ltd..
    3. Ofer Biham & Zhi-Feng Huang & Ofer Malcai & Sorin Solomon, 2002. "Long-Time Fluctuations in a Dynamical Model of Stock Market Indices," Papers cond-mat/0208464, arXiv.org.
    4. DAI & Feng QIN & Zifu, 2005. "DF Structure Models for Options Pricing," The IUP Journal of Applied Economics, IUP Publications, vol. 0(6), pages 61-77, November.
    5. Breeden, Douglas T., 1979. "An intertemporal asset pricing model with stochastic consumption and investment opportunities," Journal of Financial Economics, Elsevier, vol. 7(3), pages 265-296, September.
    6. Merton, Robert C, 1973. "An Intertemporal Capital Asset Pricing Model," Econometrica, Econometric Society, vol. 41(5), pages 867-887, September.
    7. Feng Dai & Hui Liu & Ying Wang, 2005. "Multivariate Partial Distribution: A New Method of Pricing Group Assets and Analyzing the Risk for Hedging," EERI Research Paper Series EERI_RP_2005_03, Economics and Econometrics Research Institute (EERI), Brussels.
    8. Bunch, David S & Johnson, Herb, 1992. " A Simple and Numerically Efficient Valuation Method for American Puts Using a Modified Geske-Johnson Approach," Journal of Finance, American Finance Association, vol. 47(2), pages 809-816, June.
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    10. Miccichè, Salvatore & Bonanno, Giovanni & Lillo, Fabrizio & Mantegna, Rosario N, 2002. "Volatility in financial markets: stochastic models and empirical results," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 314(1), pages 756-761.
    11. Feng Dai & Yajun Sun & Songtao Wu, 2008. "The Structure Models for Futures Options Pricing and Related Researches," The IUP Journal of Applied Economics, IUP Publications, vol. 0(3), pages 61-76, May.
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    More about this item

    Keywords

    Partial Distribution; multivariate Partial Distribution; mathematical tool; economic management;

    JEL classification:

    • C1 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General
    • C2 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables
    • C3 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables
    • C4 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics
    • C5 - Mathematical and Quantitative Methods - - Econometric Modeling
    • C8 - Mathematical and Quantitative Methods - - Data Collection and Data Estimation Methodology; Computer Programs

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