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Polynomial Time Algorithms for Obtaining Permutation Distributions

In: Computer Science and Statistics: Proceedings of the 13th Symposium on the Interface

Author

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  • Marcello Pagano

    (Harvard University, Sidney Farber Cancer Institute)

  • David L. Tritchler

    (Cornell University, Memorial Sloan Kettering Cancer Institute)

Abstract

Polynomial time algorithms are presented for finding the permutation distribution of any statistic which is a linear combination of some function of either the original observations or the ranks. The algorithms require polynomial time as opposed to complete enumeration algorithms which require exponential time. This savings is effected by first calculating and then inverting the characteristic function of the statistic.

Suggested Citation

  • Marcello Pagano & David L. Tritchler, 1981. "Polynomial Time Algorithms for Obtaining Permutation Distributions," Springer Books, in: William F. Eddy (ed.), Computer Science and Statistics: Proceedings of the 13th Symposium on the Interface, pages 45-48, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4613-9464-8_8
    DOI: 10.1007/978-1-4613-9464-8_8
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