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Main Authors:	Skowronek, Katarzyna, Arendarczyk, Marek, Panorska, Anna K., Kozubowski, Tomasz J., Wyłomańska, Agnieszka
Format:	Preprint
Published:	2026
Subjects:	Methodology Probability
Online Access:	https://arxiv.org/abs/2604.15696
Tags:	Add Tag No Tags, Be the first to tag this record!

Assessment of background noise properties in time and time-frequency domains in the context of vibration-based local damage detection in real environment
by: Skowronek, Katarzyna, et al.
Published: (2024)

A simple distributional difference-in-differences estimator for univariate and bivariate outcomes
by: Fernández-Val, Iván, et al.
Published: (2024)

Fractional lower-order covariance-based measures for cyclostationary time series with heavy-tailed distributions: application to dependence testing and model order identification
by: Żuławiński, Wojciech, et al.
Published: (2026)

Modeling Stock Returns and Volatility Using Bivariate Gamma Generalized Laplace Law
by: Kozubowski, Tomasz J., et al.
Published: (2026)

Testing of tempered fractional Brownian motions
by: Macioszek, Katarzyna, et al.
Published: (2025)

Scaling limits of Lévy walks with random velocities
by: Woszczek, Hubert, et al.
Published: (2026)

New generalized unit distributions based on order statistics
by: Attia, Iman Mohamed
Published: (2025)

Super-resolved anomalous diffusion: deciphering the joint distribution of anomalous exponent and diffusion coefficient
by: Lanoiselée, Yann, et al.
Published: (2024)

Modelling handball outcomes using univariate and bivariate approaches
by: Karlis, Dimitris, et al.
Published: (2024)

Cyclic fractional Gaussian noise: time and frequency domain properties
by: Woszczek, Hubert, et al.
Published: (2026)

Empirical study of periodic autoregressive models with additive noise -- estimation and testing
by: Żuławiński, Wojciech, et al.
Published: (2023)

A statistical mechanics approach to de-biasing and uncertainty estimation in LASSO for random measurements
by: Takahashi, Takashi, et al.
Published: (2018)

A self-supervised learning approach for denoising autoregressive models with additive noise: finite and infinite variance cases
by: Banerjee, Sayantan, et al.
Published: (2025)

Modeling frequency distribution above a priority in presence of IBNR
by: Baradel, Nicolas
Published: (2024)

Ratio of two independent xgamma random variables and some distributional properties
by: Sen, Subhradev, et al.
Published: (2024)

Bridging Control Variates and Regression Adjustment in A/B Testing: From Design-Based to Model-Based Frameworks
by: Zhang, Yu, et al.
Published: (2025)

Local statistical moments to capture Kramers-Moyal coefficients
by: Wiedemann, Christian, et al.
Published: (2024)

On the peak height distribution of non-stationary Gaussian random fields: 1D general covariance and scale space
by: Zhao, Yu, et al.
Published: (2025)

Sharp adaptive and pathwise stable similarity testing for scalar ergodic diffusions
by: Brutsche, Johannes, et al.
Published: (2022)

Rate-optimal estimation of mixed semimartingales
by: Chong, Carsten H., et al.
Published: (2022)

Conditional correlation estimation and serial dependence identification
by: Pączek, Kewin, et al.
Published: (2024)

Hybrid of node and link communities for graphon estimation
by: Verdeyme, Arthur, et al.
Published: (2024)

Weak convergence of predictive distributions
by: Leisen, Fabrizio, et al.
Published: (2025)

Sufficient digits and density estimation: A Bayesian nonparametric approach using generalized finite Pólya trees
by: Beraha, Mario, et al.
Published: (2025)

Robust variance estimators in application to segmentation of measurement data distorted by impulsive and non-Gaussian noise
by: Witulska, Justyna, et al.
Published: (2025)

Scaled Brownian motion with random anomalous diffusion exponent
by: Woszczek, Hubert, et al.
Published: (2024)

Riemann-Liouville fractional Brownian motion with random Hurst exponent
by: Woszczek, Hubert, et al.
Published: (2024)

Statistical applications of the 20/60/20 rule in risk management and portfolio optimization
by: Pączek, Kewin, et al.
Published: (2025)

On the statistical analysis of grouped data: when Pearson $χ^2$ and other divisible statistics are not goodness-of-fit tests
by: Algeri, Sara, et al.
Published: (2024)

Canonical Correlation Analysis: review
by: Bykhovskaya, Anna, et al.
Published: (2024)

Testing by Betting while Borrowing and Bargaining
by: Wang, Hongjian, et al.
Published: (2024)

Independent Approximates enable closed-form estimation of heavy-tailed distributions
by: Nelson, Kenric P.
Published: (2020)

Computationally efficient reductions between some statistical models
by: Lou, Mengqi, et al.
Published: (2024)

Identifiable factor analysis for mixed continuous and binary variables based on the Gaussian-Grassmann distribution
by: Arai, Takashi
Published: (2025)

How weak are weak factors? Uniform inference for signal strength in signal plus noise models
by: Bykhovskaya, Anna, et al.
Published: (2025)

New technique for parameter estimation and improved fits to experimental data for a set of compound Poisson distributions
by: Mane, S. R.
Published: (2025)

Repelled point processes with application to numerical integration
by: Hawat, Diala, et al.
Published: (2023)

Optimal Experimental Design Criteria for Data-Consistent Inversion
by: Butler, Troy, et al.
Published: (2025)

Generalizing the Generalized Likelihood Ratio Method Through a Push-Out Leibniz Integration Approach
by: Ren, Xingyu, et al.
Published: (2025)

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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