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Incomplete Dirichlet integrals with applications to ordered uniform spacings

Author

Listed:
  • Rao, J. S.
  • Sobel, Milton

Abstract

Sobel, Uppuluri, and Frankowski, (Selected Tables in Math. Statistics, Vol. IV. Amer. Math. Soc., Providence, R. I., 1977) consider an incomplete Dirichlet integral of type I with several interesting applications connected with the multinomial distribution and provide tables of this integral along with other useful tables. Two incomplete Dirichlet integrals are discussed here along with some useful recurrence relations, providing simple methods of deriving the distribution theory of ordered uniform spacings.

Suggested Citation

  • Rao, J. S. & Sobel, Milton, 1980. "Incomplete Dirichlet integrals with applications to ordered uniform spacings," Journal of Multivariate Analysis, Elsevier, vol. 10(4), pages 603-610, December.
    • Handle: RePEc:eee:jmvana:v:10:y:1980:i:4:p:603-610
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    Cited by:

    1. Manel Baucells & Juan A. Carrasco & Robin M. Hogarth, 2008. "Cumulative Dominance and Heuristic Performance in Binary Multiattribute Choice," Operations Research, INFORMS, vol. 56(5), pages 1289-1304, October.
    2. Mats Danielson & Love Ekenberg, 2017. "A Robustness Study of State-of-the-Art Surrogate Weights for MCDM," Group Decision and Negotiation, Springer, vol. 26(4), pages 677-691, July.
    3. Tervonen, Tommi & Figueira, José Rui & Lahdelma, Risto & Dias, Juscelino Almeida & Salminen, Pekka, 2009. "A stochastic method for robustness analysis in sorting problems," European Journal of Operational Research, Elsevier, vol. 192(1), pages 236-242, January.
    4. Ali E. Abbas, 2006. "Maximum Entropy Utility," Operations Research, INFORMS, vol. 54(2), pages 277-290, April.
    5. Ali Abbas, 2004. "Maximum Entropy Utility," Game Theory and Information 0403002, University Library of Munich, Germany.
    6. Jammalamadaka, S.R.S. Rao & Goria, M. N., 2004. "A test of goodness-of-fit based on Gini's index of spacings," Statistics & Probability Letters, Elsevier, vol. 68(2), pages 177-187, June.
    7. Jay Simon, 2020. "Weight Approximation for Spatial Outcomes," Sustainability, MDPI, vol. 12(14), pages 1-18, July.
    8. Boratyn, Daria & Kirsch, Werner & Słomczyński, Wojciech & Stolicki, Dariusz & Życzkowski, Karol, 2020. "Average weights and power in weighted voting games," Mathematical Social Sciences, Elsevier, vol. 108(C), pages 90-99.
    9. Mats Danielson & Love Ekenberg, 2016. "The CAR Method for Using Preference Strength in Multi-criteria Decision Making," Group Decision and Negotiation, Springer, vol. 25(4), pages 775-797, July.

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