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Both of these algorithms incorporate very accurate mathematical methods, but contain a source of loss of precision which is severe for the many processors with precision less than or not sufficiently greater than that claimed for the algorithms. In Algorithm 395 the use of the asymptotic series involves the evaluation of ln(1 + t2/n). For small y = t2/n and b ~1 + y, ln(b) is of the order of magnitude of y, so that the statement

Remark on “Algorithm 395: Student's t-Distribution [S14]” and Remark on “Algorithm 396: Student's Quantiles [S14]”