38 citations · 121 across the 45 of their papers we have counts for
8 papers · 1 filter
Comment on "Worst-case Nonparametric Bounds for the Student T-statistic", arXiv:2508.13226
Iosif Pinelis
Concerning Version 1 of ``Worst-case Nonparametric Bounds for the Student T-statistic'', arXiv:2508.13226: The main result there is incorrect. Concerning Version 2 of arXiv:2508.13…
What Intraclass Covariance Structures Can Symmetric Bernoulli Random Variables Have?
Iosif Pinelis
The covariance matrix of random variables is said to have an intraclass covariance structure if the variances of all the 's are the same and all the pairwise c…
Monotonicity preservation properties of kernel regression estimators
Iosif Pinelis
Three common classes of kernel regression estimators are considered: the Nadaraya--Watson (NW) estimator, the Priestley--Chao (PC) estimator, and the Gasser--Müller (GM) estimator.…
Order statistics on the spacings between order statistics for the uniform distribution
Iosif Pinelis
Closed-form expressions for the distributions of the order statistics on the spacings between order statistics for the uniform distribution are obtained. This generalizes a result…
Exact upper and lower bounds on the misclassification probability
Iosif Pinelis
Exact lower and upper bounds on the best possible misclassification probability for a finite number of classes are obtained in terms of the total variation norms of the differences…
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…