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Yasuhiro Omori, N. Johnson, S. Kotz, N. Balakrishnan (1995)
Continuous Univariate Distributions.Journal of the American Statistical Association, 90
A. Soms (1984)
Note on an extension of rational bounds for the t-tail area to arbitrary degrees of freedomCommunications in Statistics-theory and Methods, 13
A. Soms (1976)
An Asymptotic Expansion for the Tail Area of the t -DistributionJournal of the American Statistical Association, 71
(2007)
Dependency and false discovery
R. Fisher
044: Expansion of "Student's" integral in Powers of n-1.
A. Soms (1983)
Bounds for the t-tail areaCommunications in Statistics - Simulation and Computation, 12
(2022)
“Probable Error of a Mean, The”The SAGE Encyclopedia of Research Design
Ihrer Grenzgebiete, Theorie Der, Konvexen Körper (1975)
Ergebnisse der Mathematik und ihrer GrenzgebieteSums of Independent Random Variables
A. Soms (1980)
Rational Bounds for the t-Tail AreaJournal of the American Statistical Association, 75
John Mills (1926)
TABLE OF THE RATIO: AREA TO BOUNDING ORDINATE, FOR ANY PORTION OF NORMAL CURVEBiometrika, 18
A. Barbour, V. Petrov, A. Brown (1976)
Sums of Independent Random Variables, 139
(1925)
Expansion of “Student’s” integral in powers
H. Finner, T. Dickhaus, M. Roters (2007)
Dependency and false discovery rate: AsymptoticsAnnals of Statistics, 35
We investigate the asymptotic behavior of the probability density function (pdf) and the cumulative distribution function (cdf) of Student's t-distribution with ν > 0 degrees of freedom (t ν for short) for ν tending to infinity when the argument x = x ν of the pdf (cdf) depends on ν and tends to ± ∞ (−∞). To this end, we consider the ratio of the pdf's (cdf's) of the t ν- and the standard normal distribution. Depending on the choice of the argument x ν, the pdf-ratio (cdf-ratio) tends to 1, a fixed value greater than 1, or to ∞. As a byproduct, we obtain a result for Mill' ratio when x ν → −∞.
Communications in Statistics: Theory and Methods – Taylor & Francis
Published: Jan 7, 2008
Keywords: Large deviations; Likelihood ratio; Mill' ratio; t -distribution; Zone of normal convergence; Primary 62E20, 60E05; Secondary 60E15, 60F99
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