Papers by Anis Ben Ghorbal
A new extension of inverse length biased exponential model with statistical inference under joint censored samples and application
Alexandria Engineering Journal /Alexandria Engineering Journal, Jul 1, 2024
Topological Algebra and its Applications, 2023
This work establishes a connection between the class of generalized lower characteristic operator... more This work establishes a connection between the class of generalized lower characteristic operators and ⋅ a [ ] acting on a Banach space involving measures of non-strict singularity. This study presents findings on the Jeribi essential spectra of the sum of two bounded linear operators and the Jeribi essential spectra of each operator. The results are based on certain requirements related to the measure of non-strict singularity of Fredholm inverses on a Banach space X. A particular application is provided.
Reliability Analysis and Its Applications for a Newly Improved Type-II Adaptive Progressive Alpha Power Exponential Censored Sample
Symmetry, Nov 30, 2023
Axioms, Nov 14, 2023
This article is an open access article distributed under the terms and conditions of the Creative... more This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY
JP journal of biostatistics, Jun 8, 2023
In this article, we introduce a new generalization of Kavya-Manoharan Burr X (KMBx) distribution ... more In this article, we introduce a new generalization of Kavya-Manoharan Burr X (KMBx) distribution called exponentiated KMBx (EKMBx) distribution. The EKMBx distribution has three parameters, one scale and two shapes. These parameters make it very flexible. The EKMBx distribution contains three sub-models. Some basic statistical features like; the quantile function, skewness, kurtosis, moments, incomplete moments and generating functions are derived. The maximum likelihood approach is employed to estimate the parameters of the EKMBx model. The flexibility and applicability of the EKMBx model are demonstrated utilizing two different real-world datasets related to medical science.
Quantum Stochastic Calculus on Boolean Fock Space
Infinite Dimensional Analysis, Quantum Probability and Related Topics, Dec 1, 2004
Infinite Dimensional Analysis, Quantum Probability and Related Topics, Sep 1, 2004
The adjacency matrix of a comb graph is decomposed into a sum of monotone independent random vari... more The adjacency matrix of a comb graph is decomposed into a sum of monotone independent random variables with respect to the vacuum state. The vacuum spectral distribution is shown to be asymptotically the arcsine law as a consequence of the monotone central limit theorem. As an example the comb lattice is studied with explicit calculation.
Symmetry, Jun 2, 2023
This article is an open access article distributed under the terms and conditions of the Creative... more This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY
Quantum Lévy processes on dual groups
Mathematische Zeitschrift, May 14, 2005
Abstract. We present a theory of quantum (non-commutative) Lévy processes on dual groups which ge... more Abstract. We present a theory of quantum (non-commutative) Lévy processes on dual groups which generalizes the theory of Lévy processes on bialgebras. It follows from a result of N. Muraki that there exist exactly 5 notions of non-commutative 'positive' stochastic independence. ...
Non-commutative notions of stochastic independence
Mathematical proceedings of the Cambridge Philosophical Society, Nov 1, 2002
Ordered Boolean independence and the time consecutive principle
Fondements algébriques des probabilités quantiques et calcul stochastique sur l'espace de Fock booléen
Ce memoire est divise en trois grandes parties. La premiere est consacree essentiellement a l'... more Ce memoire est divise en trois grandes parties. La premiere est consacree essentiellement a l'etude des produits en probabilites quantiques. Nous donnons une classification complete a l'aide du produit universel defini par un ensemble d'axiomes canoniques dans les differentes categories d'algebres associatives. Ceci nous permet aussi de definir la notion d'independance stochastique non-commutative. En particulier nous demontrons que les seuls produits sont les produits tensoriel (classique), libre et booleen. La seconde partie est motivee directement par la premiere. Elle est consacree a l'etude des processus de Levy sur les groupes duaux de D. Voiculescu. Ce nouveau concept generalise la theorie des processus de Levy sur les algebres de Hopf (groupes quantiques) ou la seule notion d'independance est donnee par le produit tensoriel. Ce principe nous fournit l'outil principal pour montrer qu'un processus de Levy sur un groupe dual est determine par son generateur. Comme application directe, nous donnons une realisation des processus de Levy additifs sur les trois espaces de Fock (bosonique, libre et booleen). La troisieme partie est consacree au developpement du calcul stochastique quantique sur l'espace de Fock booleen. En particulier nous introduisons l'integrale stochastique et nous donnons une formule d'Ito quantique. Nous construisons aussi les solutions de l'equation differentielle stochastique quantique au sens de R. L. Hudson et K. R. Parthasarathy. Finalement nous construisons les dilatations des semi-groupes completement positifs.
Mathematical Problems in Engineering, Jun 3, 2022
e type II half logistic length-biased exponential distribution, which extends the length-biased e... more e type II half logistic length-biased exponential distribution, which extends the length-biased exponential model, is introduced and examined. is model's statistical features, such as moments, conditional moments, mean order statistics, and entropy, are derived. To estimate distribution parameters, statistical inference employs three estimation methods: maximum likelihood, Cramer-von Mises, and Anderson-Darling. To evaluate the performance of the aforementioned estimators, we run simulation experiments based on the graphical results. e TIIHLLBE model's adaptability has been demonstrated through applications to real-world datasets.
Boson Cocycle as the Second Quantization of the Boolean Cocycle
ABSTRACT. The aim of this work is to prove that the second quantization of a solution of the Bool... more ABSTRACT. The aim of this work is to prove that the second quantization of a solution of the Boolean quantum stochastic differential equation (B-QSDE) is solution of Hudson-Parthasarathy quantum stochastic differential equation (HP-QSDE).
QSAR analysis of sodium glucose co–transporter 2 (SGLT2) inhibitors for anti-hyperglycaemic lead development
SAR and QSAR in Environmental Research, 2021
ABSTRACT QSAR (Quantitative Structure Activity Relationship) modelling was performed on a dataset... more ABSTRACT QSAR (Quantitative Structure Activity Relationship) modelling was performed on a dataset of 90 sodium-dependent glucose cotransporter 2 (SGLT2) inhibitors. The quantitative and explicative evaluations revealed some of the subtle and distinguished structural features that are responsible for the inhibitory potency of these compounds against SGLT2, such as less possible number of ring carbons at 8 Å from the lipophilic atoms in the molecule (fringClipo8A) and more possible value for the sum of the partial charges of the lipophilic atoms present within seven bonds from the donor atoms (lipo_don_7Bc). Multivariate GA–MLR (genetic algorithm–multi linear regression) and thorough validation methodology out-turned a statistically robust QSAR model with a very high predictability shown from various statistical parameters. A QSAR model with r 2 = 0.83, F = 51.54, Q 2 LOO = 0.79, Q 2 LMO = 0.79, CCC cv = 0.88, Q 2Fn = 0.76–0.81, r 2 ext = 0.77, CCC ext = 0.85, and with RMSEtr < RMSEcv was proposed. This QSAR model will assist synthetic chemists in the development of the SGLT2 inhibitors as the antidiabetic leads.
Singleton Conditions and Quantum De Finetti's Theorem
Infinite Dimensional Analysis, Quantum Probability and Related Topics, Dec 1, 2008
Symmetry
This manuscript focuses on the statistical inference of the Kavya–Manoharan generalized exponenti... more This manuscript focuses on the statistical inference of the Kavya–Manoharan generalized exponential distribution under the generalized type-I progressive hybrid censoring sample (GTI-PHCS). Different classical approaches of estimation, such as maximum likelihood, the maximum product of spacing, least squares (LS), weighted LS, and percentiles under GTI-PHCS, are investigated. Based on the squared error and linear exponential loss functions, the Bayes estimates for the unknown parameters utilizing separate gamma priors under GTI-PHCS have been derived. Point and interval estimates of unknown parameters are developed. We carry out a simulation using the Monte Carlo algorithm to show the performance of the inferential procedures. Finally, real-world data collection is examined for illustration purposes.
The existence of singular limit solutions are investigated by establishing a new Liouville type t... more The existence of singular limit solutions are investigated by establishing a new Liouville type theorem for nonlinear elliptic system by using the nonlinear domain decomposition method.
Scientific Programming
The moment exponential distribution has recently been generalized by a number of authors. The two... more The moment exponential distribution has recently been generalized by a number of authors. The two-parameter alpha power-transformed moment exponential (APTME) distribution is introduced. In terms of fit, the APTME distribution outperforms the moment exponential distribution. Exact expressions for ordinary moments, incomplete and conditional moments, the moment generating function, the cumulant generating function, and information measures are obtained for some APTME distribution features. To estimate the model parameters, six well-known frequentist techniques were applied. The behavior of the various estimators was investigated using a simulated exercise. To examine the practical significance of the APTME distribution, real-world datasets were used. In terms of performance, we show that the APTME distribution beats other models.
A Generalization of the Linear Exponential Model: Properties and Real Data Modeling
Advances and applications in statistics, Mar 28, 2022
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Papers by Anis Ben Ghorbal