38 citations · 121 across the 45 of their papers we have counts for
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math.ST2011
Exact bounds on the closeness between the Student and standard normal distributions
Iosif Pinelis
Upper bounds on the Kolmogorov distance (and, equivalently in this case, on the total variation distance) between the Student distribution with p degrees of freedom (SD_p) and the…
math.ST2011
Monotone tail and moment ratio properties of Student's family of distributions
Iosif Pinelis
Let G_p denote the tail function of Student's distribution with p degrees of freedom. It is shown that the ratio G_q(x)/G_p(x) is decreasing in x>0 for any p and q such that 0<p<q\…
math.ST2011
On the Berry-Esseen bound for the Student statistic
Iosif Pinelis
New Berry--Esseen-type bounds, with explicit constant factors, for the distribution of the Student statistic and, equivalently, for that of the self-normalized sum of independent z…