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The Determination of Partial Moments

Author

Listed:
  • Robert L. Winkler

    (Indiana University)

  • Gary M. Roodman

    (Dartmouth College)

  • Robert R. Britney

    (University of Western Ontario)

Abstract

In statistical decision theory, computations often involve the partial moments of a random variable. Several methods for determining partial moments are discussed, including direct calculation, the use of general formulas which apply to entire families of distributions, and the use of partial moment generating functions. Using these methods, formulas (some involving recursive relationships) are developed for the partial moments of a number of frequently encountered distributions and compared with the corresponding formulas for complete moments.

Suggested Citation

  • Robert L. Winkler & Gary M. Roodman & Robert R. Britney, 1972. "The Determination of Partial Moments," Management Science, INFORMS, vol. 19(3), pages 290-296, November.
  • Handle: RePEc:inm:ormnsc:v:19:y:1972:i:3:p:290-296
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    File URL: http://dx.doi.org/10.1287/mnsc.19.3.290
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    2. Hua, Zhongsheng & Li, Sijie, 2008. "Impacts of demand uncertainty on retailer's dominance and manufacturer-retailer supply chain cooperation," Omega, Elsevier, vol. 36(5), pages 697-714, October.
    3. Horowitz, I. & Thompson, P., 1995. "The sophisticated decision maker: All work and no pay?," Omega, Elsevier, vol. 23(1), pages 1-11, February.
    4. Lau, Amy Hing Ling & Lau, Hon-Shiang, 2008. "An improved (Q, R) formulation when the stockout cost is incurred on a per-stockout basis," International Journal of Production Economics, Elsevier, vol. 111(2), pages 421-434, February.
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    6. Hing-Ling Lau, Amy & Lau, Hon-Shiang & Willett, Keith D., 2000. "Demand uncertainty and returns policies for a seasonal product: An alternative model," International Journal of Production Economics, Elsevier, vol. 66(1), pages 1-12, June.
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    8. Lau, Hon-Shiang & Lau, Amy Hing-Ling, 1997. "Reordering strategies for a newsboy-type product," European Journal of Operational Research, Elsevier, vol. 103(3), pages 557-572, December.
    9. Raimond Mauer & Steffen P. Sebastian, 2002. "Inflation Risk Analysis of European Real Estate Securities," Journal of Real Estate Research, American Real Estate Society, vol. 24(1), pages 47-78.
    10. Ivica Dus & Raimond Maurer & Olivia S. Mitchell, 2003. "Betting on Death and Capital Markets in Retirement: A Shortfall Risk Analysis of Life Annuities versus Phased Withdrawal Plans," Working Papers wp063, University of Michigan, Michigan Retirement Research Center.
    11. Albrecht, Peter & Klett, Timo, 2004. "Referenzpunktbezogene risikoadjustierte Performancema├če : theoretische Grundlagen," Papers 04-10, Sonderforschungsbreich 504.
    12. Phong T. H. Ngo, 2006. "A Theory of Precautionary Regulatory Capital in Banking-super-," International Review of Finance, International Review of Finance Ltd., vol. 6(3-4), pages 99-128.
    13. Hing-Ling Lau, Amy & Lau, Hon-Shiang, 2001. "Some two-echelon style-goods inventory models with asymmetric market information," European Journal of Operational Research, Elsevier, vol. 134(1), pages 29-42, October.
    14. Paul, Jomon Aliyas & MacDonald, Leo, 2016. "Optimal location, capacity and timing of stockpiles for improved hurricane preparedness," International Journal of Production Economics, Elsevier, vol. 174(C), pages 11-28.
    15. Hing-Ling Lau, Amy & Lau, Hon-Shiang, 1998. "Decision models for single-period products with two ordering opportunities," International Journal of Production Economics, Elsevier, vol. 55(1), pages 57-70, June.
    16. Chen, Liang-Hsuan & Chen, Ying-Che, 2010. "A multiple-item budget-constraint newsboy problem with a reservation policy," Omega, Elsevier, vol. 38(6), pages 431-439, December.
    17. Lau, Hon-Shiang & Lau, Amy Hing-Ling, 1999. "Manufacturer's pricing strategy and return policy for a single-period commodity," European Journal of Operational Research, Elsevier, vol. 116(2), pages 291-304, July.
    18. Lau, Amy Hing-Ling & Lau, Hon-Shiang, 2002. "A comparison of different methods for estimating the average inventory level in a (Q,R) system with backorders," International Journal of Production Economics, Elsevier, vol. 79(3), pages 303-316, October.

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