Bounds for the t-Tail Area for Arbitrary Degrees of Freedom.
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WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER
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The bounds of Birnbaum 1942 and Sampford 1953 for the upper tail area of the normal distribution are extended to the upper tail of the t-distribution for arbitrary real degrees of freedom. This generalizes the results of Soms 1977a for integral degrees of freedom. Numerical and theoretical comparisons are made with the bounds of Peizer and Pratt 1968, Wallace 1959 and Soms 1977b. Author
- Statistics and Probability