Explanipedia

Imputation of missing data for domain mean estimation using simple random sampling Open

Anoop Kumar, Shashi Bhushan, Rohini Pokhrel, Amer Ibrahim Al‐Omari, Ayed R. A. Alanzi , et al. · 2025

The estimate of domain mean is a significant issue in sample surveys. However, if the data is missing, it becomes very necessary. In the case of missing data, this paper proposes some direct and synthetic domain mean estimators using simpl…

Existence and Uniqueness Results for a Class of Fractional Integro-Stochastic Differential Equations Open

Ayed R. A. Alanzi, Shokrya S. Alshqaq, Raouf Fakhfakh, Abdellatif Ben Makhlouf · 2025

The objective of this paper is to demonstrate the existence and uniqueness (EU) of solutions to a class of Fractional Integro-Stochastic Differential Equations (FISDEs) by utilizing the fixed-point technique (FPT) and stochastic techniques…

A characteristic property of the Semicircle law Open

Ayed R. A. Alanzi, Raouf Fakhfakh, Fatimah Alshahrani · 2024

Let ${\mathcal{F}_{+}}(\sigma)=\{\textbf{Q}_m^{\sigma}(dy); \ \ m\in (m_1^{\sigma},m_+^{\sigma})\}$ be the \CSK family induced by a (non-degenerate ) probability measure $\sigma$ possessing a one sided support boundary from above. For $\ta…

Stability of Cauchy–Stieltjes Kernel Families by Free and Boolean Convolutions Product Open

Ayed R. A. Alanzi, Shokrya S. Alshqaq, Raouf Fakhfakh · 2024

Let F(νj)={Qmjνj,mj∈(m−νj,m+νj)}, j=1,2, be two Cauchy–Stieltjes Kernel (CSK) families induced by non-degenerate compactly supported probability measures ν1 and ν2. Introduce the set of measures F=F(ν1)⊞F(ν2)={Qm1ν1⊞Qm2ν2,m1∈(m−ν1,m+ν1)and…

Some Limiting Measures Related to Free and Boolean Convolutions Open

Ayed R. A. Alanzi, Shokrya S. Alshqaq, Raouf Fakhfakh · 2024

Several authors are interested in the study of limiting distributions for large symmetrical random matrices. Our approach of studying limiting distributions is different and is related to the new concept of variance functions of Cauchy–Sti…

Some Results on the Free Poisson Distribution Open

Ayed R. A. Alanzi, Ohud A. Alqasem, Maysaa Elmahi Abd Elwahab, Raouf Fakhfakh · 2024

Let K+(μi)={Qsiμi,si∈(m0μi,m+μi)}, i=1,2, be two CSK families generated by the nondegenerate probability measures μ1 and μ2 with support bounded from above. Define the set of measures L=K+(μ1)•K+(μ2)={Qs1μ1•Qs2μ2,s1∈(m0μ1,m+μ1)ands2∈(m0μ2,…

Studies on the Marchenko–Pastur Law Open

Ayed R. A. Alanzi, Ohud A. Alqasem, Maysaa Elmahi Abd Elwahab, Raouf Fakhfakh · 2024

In free probability, the theory of Cauchy–Stieltjes Kernel (CSK) families has recently been introduced. This theory is about a set of probability measures defined using the Cauchy kernel similarly to natural exponential families in classic…

On Generalized t-Transformation of Free Convolution Open

Ayed R. A. Alanzi, Raouf Fakhfakh, Fatimah Alshahrani · 2024

A notion of generalized (two-parameterized) t-transformation of free convolution, also called (t=(a,b))-deformed free convolution, is introduced for a∈R and b>0. In this article, some results of t-deformed free convolution are given within…

Some Limiting Laws in Non-Commutative Probability Open

Ayed R. A. Alanzi, Raouf Fakhfakh, Fatimah Alshahrani · 2024

In this article, we provide some new limiting laws related to the free multiplicative law of large numbers and involving free and Boolean additive convolutions. Some examples of these limiting laws are presented within the framework of non…

The unit two parameters Mirra distribution: Reliability analysis, properties, estimation and applications Open

Amer Ibrahim Al‐Omari, Ayed R. A. Alanzi, Shokrya S. Alshqaq · 2024

To define useful numbers having values from 0 to 1, as percentages, probabilities, and proportions, the unit probability models are often employed in probability and statistics. In this paper, a new two-parameter model on the unit interval…

Application of Bayesian structural equation modeling in construction and demolition waste management studies: Development of an extended theory of planned behavior Open

Nur Anisah Mohamed, Ayed R. A. Alanzi, Noor Azlinna Azizan, Suzana Ariff Azizan, Nadia Samsudin , et al. · 2024

Sustainable construction and demolition waste management relies heavily on the attitudes and actions of its constituents; nevertheless, deep analysis for introducing the best estimator is rarely attained. The main objective of this study i…

A New Detection Function Model for Distance Sampling Based on the Burr XII Model Open

Ayed R. A. Alanzi, Farrukh Jamal, M. H. Tahir, Christophe Chesneau, Sana Kanwal , et al. · 2023

One of the most used techniques for determining animal abundance is distance sampling. The distance sampling framework depends on the idea of a detection function, and a number of options have been suggested. In this paper, we provide a ne…

Evaluation of depression and obesity indices based on applications of ANOVA, regression, structural equation modeling and Taguchi algorithm process Open

Nur Anisah Mohamed, Ayed R. A. Alanzi, Noor Azlinna Azizan, Suzana Ariff Azizan, Nadia Samsudin , et al. · 2023

Introduction Depression and obesity are the main threat among women which have been considered by many research scholars in psychology studies. In their analysis for measuring and estimating obesity and depression they were involving stati…

A novel Muth generalized family of distributions: Properties and applications to quality control Open

Ayed R. A. Alanzi, M. Qaisar Rafique, M. H. Tahir, Farrukh Jamal, Muhammad Adnan Hussain , et al. · 2023

In this paper, we propose a novel family of distributions called the odd Muth-G distributions by using Transformed-Transformer methodology and study their essential properties. The distinctive feature of the proposed family is that it can …

Simulation analysis, properties and applications on a new Burr XII model based on the Bell-X functionalities Open

Ayed R. A. Alanzi, Muhammad Imran, M. H. Tahir, Christophe Chesneau, Farrukh Jamal , et al. · 2023

In this article, we make mathematical and practical contributions to the Bell-X family of absolutely continuous distributions. As a main member of this family, a special distribution extending the modeling perspectives of the famous Burr X…

Parametric Frailty Analysis in Presence of Collinearity: An Application to Assessment of Infant Mortality Open

Olayan Albalawi, Anu Sirohi, Piyush Kant, Ayed R. A. Alanzi · 2022

This paper analyzes the time to event data in the presence of collinearity. To address collinearity, the ridge regression estimator was applied in multiple and logistic regression as an alternative to the maximum likelihood estimator (MLE)…

A New Modified Kumaraswamy Distribution: Actuarial Measures and Applications Open

Ayed R. A. Alanzi, M. Qaisar Rafique, M. H. Tahir, Waqas Sami, Farrukh Jamal · 2022

In this paper, a new modified Kumaraswamy distribution is proposed, and some of its basic properties are presented, such as the mathematical expressions for the moments, probability weighted moments, order statistics, quantile function, re…

A New Generator of Probability Models: The Exponentiated Sine-G Family for Lifetime Studies Open

Mustapha Muhammad, Huda M. Alshanbari, Ayed R. A. Alanzi, Lixia Liu, Waqas Sami , et al. · 2021

In this article, we propose the exponentiated sine-generated family of distributions. Some important properties are demonstrated, such as the series representation of the probability density function, quantile function, moments, stress-str…

Correction: Statistical inconsistency of the unrooted minimize deep coalescence criterion Open

Ayed R. A. Alanzi, J. H. Degnan · 2021

[This corrects the article DOI: 10.1371/journal.pone.0251107.].

The current COVID-19 pandemic in China: An overview and corona data analysis Open

Bo Wang, Zubair Ahmad, Ayed R. A. Alanzi, Amer Ibrahim Al‐Omari, E. H. Hafez , et al. · 2021

ON SAMPLING WITH PROBABILITY PROPORTIONAL TO SIZE WITH REPLACEMENT Open

NASER A. ALODA, Ayed R. A. Alanzi, Ayman A. Hazaymeh · 2021

Abstract In this paper we suggested a new transformation for the selection probability under positive correlation coefficient between study variable [endif]--> and measure of size variable [endif]-->. The relative efficien…

Entropy Bayesian Analysis for the Generalized Inverse Exponential Distribution Based on URRSS Open

Amer Ibrahim Al‐Omari, Amal S. Hassan, Heba F. Nagy, Ayed R. A. Alanzi, Loai Alzoubi · 2021

This paper deals with the Bayesian estimation of Shannon entropy for the generalized inverse exponential distribution. Assuming that the observed samples are taken from the upper record ranked set sampling (URRSS) and upper record values (…

Prediction Intervals for the First and Last Point in Future Sample Having from a New Bathtub Shape Failure Rate Life Time Model in the Presence of Outliers Open

Ayed R. A. Alanzi · 2021

Acquiring Bayesian prediction intervals for the first and final points of observation with the bathtub-shape distribution of the failure rate life-time type under the conditions of available outliers is the focus of the research. These bou…

Inverse Length Biased Maxwell Distribution: Statistical Inference with an Application Open

Amer Ibrahim Al‐Omari, Ayed R. A. Alanzi · 2021

In this paper, we suggested and studied the inverse length biased Maxell distribution (ILBMD) as a new continuous distribution of one parameter. The ILBMD is obtained by considering the inverse transformation technique of the Maxwell lengt…

Software as a Service (SaaS) Cloud Computing: An Empirical Investigation on University Students’ Perception Open

Ghilan Al-Madhagy Taufiq-Hail, Ayed R. A. Alanzi, Shafiz Affendi Mohd Yusof, Madallah Alruwaili · 2021

Aim/Purpose: This study aims to propose and empirically validate a model and investigates the factors influencing acceptance and use of Software as a Services cloud computing services (SaaS) from individuals’ perspectives utilizing an inte…

Improved Attribute Chain Sampling Plan for Darna Distribution Open

Harsh Tripathi, Amer Ibrahim Al‐Omari, Mahendra Saha, Ayed R. A. Alanzi · 2021

Using Derived kernel as a new Method for Recognition a Similarity Learning. Open

Ramadhan A. M. Alsaidi, Ayed R. A. Alanzi, Saleh Rehiel Alenazi, Madallah Alruwaili · 2020

A new technique for feature withdrawal by neural response is going to be familiarized in this research work by merging an entropy measure with Squared Pearson correlation Coefficient (SPCC) method. The process of choosing effective models …

New Acceptance Sampling Plans Based on Truncated Life Tests for Akash Distribution With an Application to Electric Carts Data Open

Amer Ibrahim Al‐Omari, Nursel Koyuncu, Ayed R. A. Alanzi · 2020

In this paper, we develop new acceptance sampling plans based on truncated life tests for the Akash distribution. With various values of the Akash distribution parameter, the minimum sample sizes required to assert the specified mean life …

Bathtub-Shape Failure Rate Life Time Model in a New Version with the use of Bayesian Prediction Bounds for the Presence of Outliers Open

Ayed R. A. Alanzi · 2020

The present article explains obtaining of the Bayesian prediction bounds at the maximum and minimum rate taking into account the results of future observation from a new version of a bathtub-shape failure rate distribution of life time typ…

The Robust Regression Methods for Estimating of Finite Population Mean Based on SRSWOR in Case of Outliers Open

Mir Subzar, Amer Ibrahim Al‐Omari, Ayed R. A. Alanzi · 2020

The ordinary least square (OLS) method is commonly used in regression analysis. But in the presence of outlier in the data, its results are unreliable. Hence, the robust regression methods have been suggested for a long time as alternative…

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