Part of the Mathematics Commons

Works by Iosif Pinelis in Mathematics

2022

Improved concentration bounds for sums of independent sub-exponential random variables, Iosif Pinelis
Michigan Tech Publications

Large Deviations Of Sums Mainly Due To Just One Summand, Iosif Pinelis
Michigan Tech Publications

Differentially Private Fractional Frequency Moments Estimation with Polylogarithmic Space, Lun Wang, Iosif Pinelis, Dawn Song
Michigan Tech Publications

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2021

Best lower bound on the probability of a binomial exceeding its expectation, Iosif Pinelis
Michigan Tech Publications

Monotonicity preservation properties of kernel regression estimators, Iosif Pinelis
Michigan Tech Publications

Exact converses to a reverse AM-GM inequality, with applications to sums of independent random variables and (super)martingales, Iosif Pinelis
Michigan Tech Publications

Monotonicity properties of the gamma family of distributions, Iosif Pinelis
Michigan Tech Publications

EXACT LOWER BOUND on AN 'EXACTLY ONE' PROBABILITY, Iosif Pinelis
Michigan Tech Publications

Modulus of continuity of the quantum f-entropy with respect to the trace distance, Iosif Pinelis
Michigan Tech Publications

CHARACTERIZATION OF GROUPS OF INVOLUTIONS BY MEANS OF COMPOSITE FUNCTIONAL EQUATIONS IN TWO VARIABLES, Iosif Pinelis
Iosif Pinelis

2020

Monotonicity properties of the Poisson approximation to the binomial distribution, Iosif Pinelis
Michigan Tech Publications

Identities and inequalities for the cosine and sine functions, Iosif Pinelis
Michigan Tech Publications

Exact upper bound on the sum of squared nearest-neighbor distances between points in a rectangle, Iosif Pinelis
Michigan Tech Publications

Exact lower and upper bounds on the incomplete gamma function, Iosif Pinelis
Michigan Tech Publications

Odd–even decomposition of functions, Iosif Pinelis
Michigan Tech Publications

An asymptotically optimal transform of Pearson’s correlation statistic, Iosif Pinelis
Michigan Tech Publications

2019

A simple and more general approach to Stokes’ theorem, Iosif Pinelis
Michigan Tech Publications

Exact bounds on the zeros of solutions of second–order differential inequalities, Iosif Pinelis
Michigan Tech Publications

An optimal upper bound on the tail probability for sums of random variables, Iosif Pinelis
Michigan Tech Publications

Exact upper and lower bounds on the misclassification probability, Iosif Pinelis
Michigan Tech Publications

Nonnegative sum-symmetric matrices and optimal-score partitions, Iosif Pinelis
Michigan Tech Publications

Exact lower bounds for the agnostic probably-approximately-correct (PAC) machine learning model, Aryeh Kontorovich, Iosif Pinelis
Michigan Tech Publications

A necessary and sufficient condition on the stability of the infimum of convex functions, Iosif Pinelis
Michigan Tech Publications

Excess versions of the Minkowski and Hölder inequalities, Iosif Pinelis
Michigan Tech Publications

2018

An alternative to the Euler–Maclaurin summation formula: approximating sums by integrals only, Iosif Pinelis
Michigan Tech Publications

Excess Versions of the Minkowski and Hölder Inequalities, Iosif Pinelis
Iosif Pinelis

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Measure extension by local approximation, Iosif Pinelis
Michigan Tech Publications

2017

Approximating sums by integrals only: multiple sums and sums over lattice polytopes, Iosif Pinelis
Michigan Tech Publications

An involution inequality for the kullback-leibler divergence, Iosif Pinelis
Michigan Tech Publications

2016

power-series.pdf, Iosif Pinelis
Iosif Pinelis

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On a multidimensional spherically invariant extension of the Rademacher-Gaussian comparison, Iosif Pinelis
Department of Mathematical Sciences Publications

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Optimal binomial, Poisson, and normal left-tail domination for sums of nonnegative random variables, Iosif Pinelis
Department of Mathematical Sciences Publications

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Optimal binomial, Poisson, and normal left-tail domination for sums of nonnegative random variables, Iosif Pinelis
Iosif Pinelis

Explicit additive decomposition of norms on ℝ 2 , Iosif Pinelis
Michigan Tech Publications

Unimodality of certain parametric integrals, Iosif Pinelis
Michigan Tech Publications

On the extreme points of moments sets, Iosif Pinelis
Michigan Tech Publications

2015

calculations.zip, Iosif Pinelis
Iosif Pinelis

LeftTailBounds.zip, Iosif Pinelis
Iosif Pinelis

On the Hölder and Cauchy-Schwarz inequalities, Iosif Pinelis
Michigan Tech Publications

Relations between the first four moments, Iosif Pinelis
Michigan Tech Publications

Geometrically convergent sequences of upper and lower bounds on the Wallis ratio and related expressions, Iosif Pinelis
Michigan Tech Publications

A topological dichotomy with applications to complex analysis, Iosif Pinelis
Michigan Tech Publications

2014

An optimal three-way stable and monotonic spectrum of bounds on quantiles: A spectrum of coherent measures of financial risk and economic inequality, Iosif Pinelis
Michigan Tech Publications

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2011

Positive-Part Moments via the Fourier-Laplace Transform, Iosif Pinelis
Michigan Tech Publications

2008

l'Hospital-type rules for monotonicity: Discrete case, Iosif Pinelis
Michigan Tech Publications

2007

Exact inequalities for sums of asymmetric random variables, with applications, Iosif Pinelis
Michigan Tech Publications

A characterization of the convexity of cyclic polygons in terms of the central angles, Iosif Pinelis
Michigan Tech Publications

2005

Cyclic polygons with given edge lengths: Existence and uniqueness, Iosif Pinelis
Michigan Tech Publications

2003

A discrete mass transportation problem for infinitely many sites, and general representant systems for infinite families, Iosif Pinelis
Michigan Tech Publications

2002

Spherically symmetric functions with a convex second derivative and applications to extremal probabilistic problems, Iosif Pinelis
Michigan Tech Publications

Multilinear direct and reverse Stolarsky inequalities, Iosif Pinelis
Michigan Tech Publications

2001

On the Yao-Iyer inequality in bioequivalence studies, Iosif Pinelis
Michigan Tech Publications

2000

Linearity of space-time transformations without the one-to-one, line-onto-line, or constancy-of-speed-of-light assumptions, Alexander Chubarev, Iosif Pinelis
Michigan Tech Publications

1996

On the minimal number of even submatrices of 0-1 matrices, Iosif Pinelis
Michigan Tech Publications