Results 41 to 50 of about 649 (183)
Time‐Varying Dispersion Integer‐Valued GARCH Models
Journal of Time Series Analysis, EarlyView.ABSTRACT We introduce a general class of INteger‐valued Generalized AutoRegressive Conditionally Heteroscedastic (INGARCH) processes by allowing simultaneously time‐varying mean and dispersion parameters. We call such models time‐varying dispersion INGARCH (tv‐DINGARCH) models.
Wagner Barreto‐Souza +3 more
wiley +1 more source
On Caputo Fractional Derivatives and Caputo–Fabrizio Integral Operators via (s, m)-Convex Functions
Fractal and Fractional, 2023 This paper contains a variety of new integral inequalities for (s,m)-convex functions using Caputo fractional derivatives and Caputo–Fabrizio integral operators.
Ammara Nosheen +4 more
doaj +1 more source
A new family of functional series relations involving digamma functions [PDF]
Annales mathématiques Blaise Pascal, 1996 This paper is devoted to obtain a new family of functional series relations involving the digamma functions. The approach of derivations is based upon series rearrangement methods. Due to the generality of the functional series relations involving arbitrary coefficients \(A(r)\), several known and new series summations involving digamma functions are ...
Raina, R. K., Ladda, R. K.
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Omnibus goodness‐of‐fit tests for univariate continuous distributions based on trigonometric moments
Statistica Neerlandica, Volume 80, Issue 2, May 2026.ABSTRACT We propose a new omnibus goodness‐of‐fit test based on trigonometric moments of probability‐integral‐transformed data. The test builds on the framework of the LK test introduced by Langholz and Kronmal [J. Amer. Statist. Assoc. 86 (1991), 1077–1084], but fully exploits the covariance structure of the associated trigonometric statistics.
Alain Desgagné, Frédéric Ouimet
wiley +1 more source
New Approximation Formula of Digamma Function with Bounded Remainder
MathematicsThis study establishes the new approximation formula for the Digamma function ψ(s)=lns−12s−112ss2+θ(s ...
Mansour Mahmoud +2 more
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Modular relations involving generalized digamma functions
Journal of Mathematical Analysis and ApplicationsGeneralized digamma functions $ψ_k(x)$, studied by Ramanujan, Deninger, Dilcher, Kanemitsu, Ishibashi etc., appear as the Laurent series coefficients of the zeta function associated to an indefinite quadratic form. In this paper, a modular relation of the form $F_k(α)=F_k(1/α)$ containing infinite series of $ψ_k(x)$, or, equivalently, between the ...
Atul Dixit +2 more
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Bi‐Directional Recurrent Attentional Topic Model Using Flexible Priors
Computational Intelligence, Volume 42, Issue 2, April 2026.ABSTRACT This article presents extensions to the Bi‐Directional Recurrent Attentional Topic Model (bi‐RATM) framework, a Dirichlet‐based model used in text document analysis. The allocation of topics to a sentence in a document is determined by its content as well as the topics of its neighboring sentences, and the weighting is typically variable. Many
Pantea Koochemeshkian, Nizar Bouguila
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Complete Monotonicity property for two functions related to the q-digamma function [PDF]
Journal of Mathematical Inequalities, 2019 Summary: In this paper, the complete monotonicity property for two functions involving the \(q\)-digamma function are proven for all positive real \(q\) and exploited to establish some sharp inequalities for the \(q\)-gamma, \(q\)-digamma and \(q\)-polygamma functions. Comparisons between our results with previous results are provided.
Salem, Ahmed, Alzahrani, Faris
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Semiclassical inequalities for Dirichlet and Neumann Laplacians on convex domains
Communications on Pure and Applied Mathematics, Volume 79, Issue 3, Page 762-822, March 2026.Abstract We are interested in inequalities that bound the Riesz means of the eigenvalues of the Dirichlet and Neumann Laplacians in terms of their semiclassical counterpart. We show that the classical inequalities of Berezin–Li–Yau and Kröger, valid for Riesz exponents γ≥1$\gamma \ge 1$, extend to certain values γ<1$\gamma <1$, provided the underlying ...
Rupert L. Frank, Simon Larson
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Robust Inference for Intermittently‐Monitored Step‐Stress Tests Under Weibull Lifetime Distributions
Quality and Reliability Engineering International, Volume 42, Issue 2, Page 837-857, March 2026.ABSTRACT Many modern products exhibit high reliability under normal operating conditions. Conducting life tests under these conditions may result in very few observed failures, insufficient for accurate inferences. Instead, accelerated life tests (ALTs) must be performed.
Narayanaswamy Balakrishnan +2 more
wiley +1 more source