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Main Authors:	Koolen, Wouter M., Pérez-Ortiz, Muriel Felipe, Lardy, Tyron
Format:	Preprint
Published:	2025
Subjects:	Statistics Theory Probability
Online Access:	https://arxiv.org/abs/2502.16019
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Testing by Betting while Borrowing and Bargaining
by: Wang, Hongjian, et al.
Published: (2024)

Supermartingales for One-Sided Tests: Sufficient Monotone Likelihood Ratios are Sufficient
by: Grünwald, Peter D., et al.
Published: (2025)

Reverse Information Projections and Optimal E-statistics
by: Lardy, Tyron, et al.
Published: (2023)

Sharp Thresholds Imply Circuit Lower Bounds: from random 2-SAT to Planted Clique
by: Gamarnik, David, et al.
Published: (2023)

The extended Ville's inequality for nonintegrable nonnegative supermartingales
by: Wang, Hongjian, et al.
Published: (2023)

On admissibility in post-hoc hypothesis testing
by: Chugg, Ben, et al.
Published: (2025)

Generalized Entropy Power Inequalities and Monotonicity Properties of Information
by: Madiman, Mokshay, et al.
Published: (2006)

E-values for k-Sample Tests With Exponential Families
by: Hao, Yunda, et al.
Published: (2023)

Moment Monotonicity of Weibull, Gamma and Log-normal Distributions
by: Liu, Kang
Published: (2025)

Monotone additive statistics
by: Mu, Xiaosheng, et al.
Published: (2021)

Covariance Operator Estimation via Adaptive Thresholding
by: Al-Ghattas, Omar, et al.
Published: (2024)

Maximal Inequalities for Independent Random Vectors
by: Basu, Supratik, et al.
Published: (2025)

Concentration Inequalities for Sample Cross-Covariances
by: Chen, Jiaheng, et al.
Published: (2026)

Poisson Midpoint Method for Log Concave Sampling: Beyond the Strong Error Lower Bounds
by: Srinivasan, Rishikesh, et al.
Published: (2025)

A New Proof of Sub-Gaussian Norm Concentration Inequality
by: Liu, Zishun, et al.
Published: (2025)

Optimal E-Values for Exponential Families: the Simple Case
by: Grünwald, Peter, et al.
Published: (2024)

Kolmogorov-Type Maximal Inequalities for Independent and Dependent Negative Binomial Random Variables: Sharp Bounds, Sub-Exponential Refinements, and Applications to Overdispersed Count Data
by: Doumas, Aristides V., et al.
Published: (2026)

Thresholds for Reconstruction of Random Hypergraphs From Graph Projections
by: Bresler, Guy, et al.
Published: (2025)

Interplay between Negation of a Probability Distribution and Jensen Inequality
by: Srivastava, Amit
Published: (2024)

Anti-Concentration Inequalities for the Difference of Maxima of Gaussian Random Vectors
by: Belloni, Alexandre, et al.
Published: (2024)

Sparse Hanson-Wright Inequalities with Applications
by: He, Yiyun, et al.
Published: (2024)

Exponential Concentration Inequalities For Independent Random Vectors Under Sublinear Expectations
by: Seyoum, Nahom
Published: (2026)

Multiple sequences Prophet Inequality Under Observation Constraints
by: Tsopelakos, Aristomenis, et al.
Published: (2024)

On the Missing Factor in Some Concentration Inequalities for Martingales
by: Kuchibhotla, Arun Kumar
Published: (2024)

Entropic Isoperimetric and Cramér--Rao Inequalities for Rényi--Fisher Information
by: Wu, Hao, et al.
Published: (2025)

Bounding adapted Wasserstein metrics
by: Blanchet, Jose, et al.
Published: (2024)

Matrix Moment and Concentration Inequalities for Martingales and Ergodic Markov Chains with Applications in Statistical Learning
by: Peng, Yang, et al.
Published: (2025)

Central limit theory for Peaks-over-Threshold partial sums of long memory linear time series
by: Scheffel, Ioan, et al.
Published: (2025)

Testing Thresholds and Spectral Properties of High-Dimensional Random Toroidal Graphs via Edgeworth-Style Expansions
by: Baguley, Samuel, et al.
Published: (2025)

Principal Feature Detection via $Φ$-Sobolev Inequalities
by: Li, Matthew T. C., et al.
Published: (2023)

Monotone Curve Estimation via Convex Duality
by: Lim, Tongseok, et al.
Published: (2025)

Computable Bounds for Strong Approximations with Applications
by: Ye, Haoyu, et al.
Published: (2025)

Tight Bounds for Local Glivenko-Cantelli
by: Blanchard, Moïse, et al.
Published: (2023)

Mixing Time Bounds for the Gibbs Sampler under Isoperimetry
by: Goyal, Alexander, et al.
Published: (2025)

The Berry-Esseen Bound for High-dimensional Self-normalized Sums
by: Chang, Woonyoung, et al.
Published: (2025)

Bounds on Maximal Leakage over Bayesian Networks
by: Makur, Anuran, et al.
Published: (2025)

Tail Bounds for Canonical $U$-Statistics and $U$-Processes with Unbounded Kernels
by: Chakrabortty, Abhishek, et al.
Published: (2025)

Exact Thresholds for Noisy Non-Adaptive Group Testing
by: Chen, Junren, et al.
Published: (2024)

Optimization, Isoperimetric Inequalities, and Sampling via Lyapunov Potentials
by: Chen, August Y., et al.
Published: (2024)

if (filemtime($filename) + $maxlifetime < time()) { unlink($filename); $count++; } } return $count; } /** * A function that is called internally when session data is to be saved. * * @param string $sessId The current session ID * @param string $data The session data to write * * @return bool */ protected function saveSession($sessId, $data): bool { $sessFile = $this->path . '/sess_' . $sessId; if ($handle = fopen($sessFile, 'w')) { $return = false; // Lock the file for exclusive access to avoid issues with multiple // processes writing session simultaneously: if (flock($handle, LOCK_EX)) { $return = fwrite($handle, $data); // Make sure that there's no trailing data by truncating the file to // the correct length: ftruncate($handle, strlen($data)); fflush($handle); flock($handle, LOCK_UN); } fclose($handle); if ($return !== false) { return true; } } // If we got this far, something went wrong with the file output... // It is tempting to throw an exception here, but this code is called // outside of the context of exception handling, so all we can do is // echo a message.

// Anecdotal testing Today and Yesterday seems to indicate destroy() // is called by the garbage collector and everything is good. // Something to keep in mind though. return 0; } /** * Write function that is called when session data is to be saved. * * @param string $sessId The current session ID * @param string $data The session data to write * * @return bool */ public function write($sessId, $data): bool { if ($this->writesDisabled) { return true; } return $this->saveSession($sessId, $data); } /** * A function that is called internally when session data is to be saved. * * @param string $sessId The current session ID * @param string $data The session data to write * * @return bool */ abstract protected function saveSession($sessId, $data): bool; }

* * @return void */ public function writeClose() { // The assumption is that we're using PHP's ext/session. // session_write_close() will actually overwrite $_SESSION with an // empty array on completion -- which leads to a mismatch between what // is in the storage object and $_SESSION. To get around this, we // temporarily reset $_SESSION to an array, and then re-link it to // the storage object. // // Additionally, while you _can_ write to $_SESSION following a // session_write_close() operation, no changes made to it will be // flushed to the session handler. As such, we now mark the storage // object isImmutable. $storage = $this->getStorage(); if (! $storage->isImmutable()) { $_SESSION = $storage->toArray(true); session_write_close(); $storage->fromArray($_SESSION); $storage->markImmutable(); } } /** * Attempt to set the session name * * If the session has already been started, or if the name provided fails * validation, an exception will be raised. * * @param string $name * @return SessionManager * @throws Exception\InvalidArgumentException */ public function setName($name) { if ($this->sessionExists()) { throw new Exception\InvalidArgumentException( 'Cannot set session name after a session has already started'

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