I. Pinelis

发表

OPTIMUM BOUNDS FOR THE DISTRIBUTIONS OF MARTINGALES IN BANACH SPACES

I. Pinelis, 1994, 1208.2200.

On inequalities for sums of bounded random variables

I. Pinelis, 2006, math/0603030.

Estimates of the Moments of Sums of Independent Random Variables

I. Pinelis, S. Utev, 1985 .

On the nonuniform Berry--Esseen bound

Iosif Pinelis, I. Pinelis, 2013 .

Positive-part moments via characteristic functions, and more general expressions

Iosif Pinelis, I. Pinelis, 2016, 1603.07365.

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

Iosif Pinelis, I. Pinelis, 2015, 1503.06482.

Exact Lower Bounds on the Exponential Moments of Truncated Random Variables

I. Pinelis, 2011, Journal of Applied Probability.

An asymptotically Gaussian bound on the Rademacher tails

Iosif Pinelis, I. Pinelis, 2010, 1007.2137.

Optimal Tail Comparison Based on Comparison of Moments

I. Pinelis, 1998 .

On normal domination of (super)martingales

I. Pinelis, 2005, math/0512382.

Exact inequalities for sums of asymmetric random variables, with applications

Iosif Pinelis, I. Pinelis, 2006 .

Toward the best constant factor for the Rademacher-Gaussian tail comparison

Iosif Pinelis, I. Pinelis, 2006 .

Binomial upper bounds on generalized moments and tail probabilities of (super)martingales with differences bounded from above

I. Pinelis, 2005, math/0512301.

Exact Bounds on the Truncated-Tilted Mean, with Applications

I. Pinelis, 2011, Theory of Probability & Its Applications.

Optimal re-centering bounds, with applications to Rosenthal-type concentration of measure inequalities

I. Pinelis, 2011, 1111.2622.

Exact Exponential Bounds for Sums of Independent Random Variables

Sergey Utev, I. Pinelis, S. Utev, 1990 .

An exact bound on the truncated-tilted mean for symmetric distributions

I. Pinelis, 2012, 1205.5234.

Generalized Semimodularity: Order Statistics

I. Pinelis, 2019, Progress in Probability.

The time until the final zero crossing of random sums with application to nonparametric bandit theory

Iosif Pinelis, Sidney Yakowitz, S. Yakowitz, 1994 .

Exact bounds on the closeness between the Student and standard normal distributions

Iosif Pinelis, I. Pinelis, 2011, 1101.3328.

Rosenthal-type inequalities for martingales in 2-smooth Banach spaces@@@Rosenthal-type inequalities for martingales in 2-smooth Banach spaces

I. Pinelis, Иосиф Ф Пинелис, 2014 .

Improved nonuniform Berry--Esseen-type bounds

I. Pinelis, 2011, 1109.0741.

Linearity of Space-Time Transformations¶Without the One-to-One, Line-onto-Line, or Constancy-of-Speed-of-Light Assumptions

I. Pinelis, A. Chubarev, 2000 .

Tchebycheff systems and extremal problems for generalized moments: a brief survey

I. Pinelis, 2011, 1107.3493.

Exact Asymptotics for Large Deviation Probabilities, with Applications

I. Pinelis, 2005 .

Exact inequalities for sums of asymmetric random variables, with applications

I. Pinelis, 2006, math/0602556.

Binomial upper bounds on generalized moments and tail probabilities of (super)martingales with differences bounded from above

I. Pinelis, 2005, math/0512301.

On inequalities for sums of bounded random variables

I. Pinelis, 2006, math/0603030.

Exact lower and upper bounds for shifts of Gaussian measures

I. Pinelis, 2022, Teoriya Veroyatnostei i ee Primeneniya.

Tchebycheff systems and extremal problems for generalized moments: a brief survey

I. Pinelis, 2011, 1107.3493.

Binomial upper bounds on generalized moments and tail probabilities of (super)martingales with differences bounded from above

I. Pinelis, 2005, math/0512301.

On inequalities for sums of bounded random variables

I. Pinelis, 2006, math/0603030.

Exact upper bound on the sum of squared nearest-neighbor distances between points in a rectangle

I. Pinelis, 2019, 1904.11427.

Exact Lower and Upper Bounds for Gaussian Measures

I. Pinelis, 2022, Theory of Probability & Its Applications.

Improved concentration bounds for sums of independent sub-exponential random variables

I. Pinelis, 2022, Statistics & Probability Letters.

ROSENTHAL-TYPE INEQUALITIES FOR MARTINGALES IN 2-SMOOTH BANACH SPACES ∗

I. Pinelis, 2012, 1212.1912.

An optimal bound on the quantiles of a certain kind of distributions

I. Pinelis, 2013, 1301.0294.

Correction: ``Optimum bounds for the distributions of martingales in Banach spaces'' [Ann. Probab. 22 (1994), no. 4, 1679–1706; MR 96b:60010]

Iosif Pinelis, I. Pinelis, 1999 .

On the von Bahr-Esseen inequality

I. Pinelis, 2010 .

On a multidimensional spherically invariant extension of the Rademacher--Gaussian comparison

I. Pinelis, 2016, 1603.04841.

Schur2-concavity properties of Gaussian measures, with applications to hypotheses testing

Iosif Pinelis, I. Pinelis, 2010, J. Multivar. Anal..

Monotonicity preservation properties of kernel regression estimators

I. Pinelis, 2020, 2007.01757.

On a majorization inequality for sums of independent random vectors

I. Pinelis, 1994 .

Evolutionary models of phylogenetic trees

I. Pinelis, 2003, Proceedings of the Royal Society of London. Series B: Biological Sciences.

On the extreme points of moments sets

Iosif Pinelis, I. Pinelis, 2012, Math. Methods Oper. Res..

EXACT UPPER AND LOWER BOUNDS ON THE DIFFERENCE BETWEEN THE ARITHMETIC AND GEOMETRIC MEANS

I. Pinelis, 2015, Bulletin of the Australian Mathematical Society.

Between Chebyshev and Cantelli

I. Pinelis, 2010, 1011.6065.

Exact lower bounds on the exponential moments of Winsorized and truncated random variables

I. Pinelis, 2010, 1001.2901.

Exact Lower Bounds for the Agnostic Probably-Approximately-Correct (PAC) Machine Learning Model pdf

Aryeh Kontorovich, Iosif Pinelis, I. Pinelis, 2016, The Annals of Statistics.

Cyclic polygons with given edge lengths: Existence and uniqueness

Iosif Pinelis, I. Pinelis, 2005 .

Exact Rosenthal-type bounds

I. Pinelis, 2013, 1304.4609.

Nonnegative sum-symmetric matrices, optimal-score partitions, and optimal resource allocation.

I. Pinelis, 2019, 1906.11227.

L'Hospital Rules for Monotonicity and the Wilker-Anglesio Inequality

Iosif Pinelis, I. Pinelis, 2004, Am. Math. Mon..

EXACT LOWER BOUND ON AN ‘EXACTLY ONE’ PROBABILITY

I. Pinelis, 2021, Bulletin of the Australian Mathematical Society.

Best possible bounds of the von Bahr--Esseen type

I. Pinelis, 2010, 1008.5350.

A Simple and More General Approach to Stokes’ Theorem

I. Pinelis, 2019, Mathematics Magazine.

A topological dichotomy with applications to complex analysis

I. Pinelis, 2015 .

Exact Rosenthal-type inequalities for p=3, and related results

I. Pinelis, 2013, 1302.6524.

What Intraclass Covariance Structures Can Symmetric Bernoulli Random Variables Have?

I. Pinelis, 2022, Mathematical Methods of Statistics.

Characteristic function of the positive part of a random variable and related results, with applications

I. Pinelis, 2013, 1309.5928.

L'Hospital type results for monotonicity, with applications.

I. Pinelis, I. Pinelis, 2002 .

Model equations for the Eiffel Tower profile: historical perspective and new results

Iosif Pinelis, Patrick D. Weidman, I. Pinelis, 2004 .

Dimensionality Reduction in Extremal Problems for Moments of Linear Combinations of Vectors with Random Coefficients

I. Pinelis, 2003 .

L'Hospital type rules for monotonicity: Applications to probability inequalities for sums of bounded random variables.

Iosif Pinelis, I. Pinelis, I. Pinelis, 2002 .

On Exact Maximal Khinchine Inequalities

I. Pinelis, 2000 .