Random Matrices and Applications

Using the J_P^2 -power series method, we redefine the sets of statistical limit points and statistical cluster points for double sequences of real numbers. We compare these sets with the set of usual limit points of double sequences and provide examples to demonstrate that the inclusions between these sets can be stri…

The convex conjugate (i.e., the Legendre transform) of Type II error probability (volume) as a function of Type I error probability (volume) is determined for the hypothesis testing problem with randomized detectors. The derivation relies on properties of likelihood ratio quantiles and is general enough to extend to t…

The convex conjugate (i.e., the Legendre transform) of Type II error probability (volume) as a function of Type I error probability (volume) is determined for the hypothesis testing problem with randomized detectors. The derivation relies on properties of likelihood ratio quantiles and is general enough to extend to t…

This paper addresses model selection and estimation in multiple linear regression models with grouped covariates. We propose a regularization method, called Scaled Group Lasso (SGLASSO), that is designed to account for correlation patterns among groups. The method combines group-wise sparsity with James–Stein-type shr…

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• EFRUZ ÖZLEM MERSİN

We study nearest-neighbor-based estimators of Tsallis entropy associated with Poisson and binomial point processes on general metric measure spaces. In this study, by combining existing stabilization methods with the validation of the estimator’s local k-nearest-neighbor structure, we investigate nearest-neighbor-base…

• MEHMET SIDDIK ÇADIRCI

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• NESLİHAN KILAR

In mathematical analysis, the theory of inequalities plays a crucial roledue to its wide applications across various fields of physical sciences. Inthis article, we develop a new class of fractional Bullen-type inequalitiesrelated to the Jensen-Mercer inequality. To achieve this, first, we obtain ageneral fractional B…

• FATİH HEZENCİ

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• MUHİDDİN UĞUZ

A q-deformed field theory at finite temperature is presented and its related thermo field dynamics is constructed. This enables us to introduce the quon field, whose Lagrangian leads to a q-deformed partition function. Accordingly, the general thermostatistical properties of a gas model of quon fields, such as the q-d…

• ABDULLAH ALĞIN