A Simulation Study to Investigate the Performance of Survival Mixture Model of Three Different Distributions to Anlayze Heterogeneous Data

A simulation study of a parametric mixture model with three different distributions is considered in this paper to model heterogeneous survival data. The proposed parametric mixture of Exponential, Gamma, and Weibull has some properties that are investigated. To estimate the maximum likelihood estimators of three different postulated parametric mixture model parameters, the Expectation Maximization Algorithm (EM) is used. The simulations are carried out by simulating data sampled from a population of three component parametric mixtures of three different distributions, and they are repeated 10, 30, 50, 100, and 500 times to investigate the effects. The EM scheme’s consistency and stability The developed EM Algorithm scheme can estimate mixture parameters that are very close to the parameters of the postulated model. As the number of simulation repetitions increases, the parameters get closer and closer to the postulated models, with relatively small standard errors. The results showed that the EM estimated the parameters of the three component mixture model correctly.

Author(s) Details

Yusuf Abbakar MohammedI
Deptartment of Mathematical Sciences, Faculty of Sciences, University of Maiduguri, Nigeria.

Bidin Yatim
School of Quantitative Sciences, College of Arts and Sciences, Universiti Utara Malaysia, Malaysia.

Suzilah Ismail
School of Quantitative Sciences, College of Arts and Sciences, Universiti Utara Malaysia, Malaysia.

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Computing Customers Sojourn Times in Jackson Networks Distribution Functions and Moments

Jackson queuing networks have a wide range of applications, most notably in services and technological devices. Healthcare networks are an example of the first case, and computation and telecommunications networks are examples of the second. Clearly, the time a customer – a person, a job, a message… – spends in these types of systems, known as its sojourn time1, is an important measure of its performance, among other things. The practical statistical known results about a customer’s sojourn time in a Jackson network distribution are collected and presented in this work. In addition, an emphasis is placed on the numerical methods used to compute the distribution function and the moments.

Author(s) Details

Manuel Alberto M. Ferreira
ISTAR-IUL – Information Sciences, Technologies and Architecture Research Center (ISTA), Instituto Universitário de Lisboa, Lisboa, Portugal.

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Study on the Use of REGWQ Multiple Comparisons of Qualitative Data: A Statistical Approach

The Ryan-Einot-Gabriel-Welsch and Quiot (REGWQ) test compares large amounts of data while monitoring the likelihood of making at least one Type I or Family wise error. In this study, the REGWQ multiple comparisons test for qualitative data was used. Okra characterisation data was used for multiple comparisons of means and was submitted to ANOVA (P 0.05) with REGWQ. When variances are heterogeneous, the results of this study define a summary technique of following a significant ANOVA F with REGWQ test on several means comparisons in summation of a broad entries/treatments to the small classes. Cluster analysis may be especially useful for categorizing qualitative treatments and should be used in conjunction with REFWQ multiple generates. The study will be conducted in REGWQ multiple producers in SAS alternative for distributing a large number of treatments to a small population with summering the best treatment preference. The use of REGWQ for multiple comparisons of qualitative data typically results in overlapping groups of means, unless access to multiple comparisons of qualitative data necessitates new approaches in computer programs to calculate exact studentized range values.

Author(s) Details

Siraj O. Omer
Agricultural Research Corporation (ARC), P.O.Box 126, Wad Medani, Sudan.

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Modeling Alignment of Software Projects Needs with Software Project Teams’ Needs: It is a Balancing Act

Due to the fastpaced, competitive world in which information and communication technology (ICT) projects are run, as well as ICT professionals’ constantly evolving requirements, project managers face a challenge in aligning project requirements with project team members. A project client measures project success by how well a project manager meets project goals, whereas software project teams (SPTs) measure project success by a manager’s ability to meet their project-related needs. This chapter claims that if project requirements are properly aligned with team members’ requirements, a balanced decision approach will result. Furthermore, such alignment will result in the realization of SPTs’ needs as well as meeting the needs of the project. The chapter presents a Software Project Needs and Software Project Team Needs (SPnSPTn) alignment model and argues that using the SPnSPTn alignment model can result in a balanced decision that meets both the software project’s and team members’ needs.

Author(s) Details

Robert Hans
Tshwane University of Technology, Pretoria, South Africa.

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Study on Interval Arithmetic and Its Application to Electrical Circuits

In general, interval arithmetic is a useful method for dealing with inequalities, estimated numbers, error bounds, and other convex and bounded sets. In this section, we’ll look at a few simple cases where intervals and ranges of functions over intervals appear naturally. Interval mathematics is a generalization in which interval numbers replace real numbers, interval arithmetic replaces real arithmetic, and interval analysis replaces real analysis. The interval has two bounds: a lower bound and an upper bound. The current paper presents some of the fundamental notions and techniques of interval analysis that will be needed in the future to present various interval analysis applications in electric circuit theory. This article discusses the representation of uncertain and inaccurate information, interval arithmetic, and its application to electrical circuits. Each function has a mathematical equivalent elementary interval; all common mathematical functions have an equivalent interval.

Author(s) Details

Nacira Diffellah
ETA Laboratory of Electronics, Faculty of Science and Technology, University of Bordj Bou Arreridj, 34030, Algeria.

Fouzia Hamadache
ETA Laboratory of Electronics, Faculty of Science and Technology, University of Bordj Bou Arreridj, 34030, Algeria.

Khier Benmahammed
LSI Intelligent Systems Laboratory, University of Sétif, 19000, Algeria.

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A Novel Framework of Disambiguation Technique for Discovering Concept Drift

Word Sense Disambiguation has been a hot topic in Natural Language Processing research. WSD is essentially a solution to ambiguity caused by different meanings of words in different contexts. The main issue with WSD is that different algorithms may be required for different applications. This paper provides a structure for discovering concept drift as well as a brief introduction to Word Sense Disambiguation. It deals with the linguistic processing situation.

Author(s) Details

A. Uma Maheswari
Department of Computer Science, Hindusthan College of Arts and Science, Coimbatore, India.

N. Revathy
Department of Computer Science, Hindusthan College of Arts and Science, Coimbatore, India.

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Deliverable-Oriented Work Breakdown Structure: A Software Project Scope Verification Tool

Software project scope verification is an important part of project scope management that must be done correctly to avoid project rework and improve project scope control. A software project scope is defined as the work required to create the required product with all of its necessary functions and features. Furthermore, software scope verification is critical in delivering exactly what the customer requested. as well as minimizing project scope changes A well-defined software scope simplifies the scope verification process and contributes to project success. A deliverable-oriented work breakdown structure (WBS) is frequently used as a road map to a well-defined software scope of work. On that basis, this chapter extends the use of deliverable-oriented WBS to the scope verification process. According to this article, a deliverable-oriented WBS is a method for software scope verification.

Author(s) Details

Robert T. Hans
Tshwane University of Technology, Pretoria, South Africa.

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Studies on Two Supreme Principles of Plato’s Cosmos: The One and the Indefinite Dyad—The Division of a Straight Line into Extreme and Mean Ratio, and Pingala’s Mātrāmeru

In this survey, we look at some findings regarding the behavior of the resolvent of a weighted shift operator. The relationship between the coefficients of the mentioned operators, the behavior of the Cesaro averages, and the behavior of the resolvent were all taken into account. a/b + b)/a = a/b When applied to linear geometry, this equal proportion corresponds to what Euclid referred to as the Division into Extreme and Mean Ratio (DEMR) or The Golden Proportion. In fact, according to my mathematical interpretation, Plato uses Pingala’s Mtrmeru or The First Analogy of the Double to shape the body of the Cosmos as a whole, to the point of identifying the two supreme principles of the Cosmos—the One (1) and the Indefinite Dyad (and1/)—with the DEMR in the Timaeus 32b and the Epinomis 991 a–b. As a result, Fire and Earth are linked by two Mean Ratios rather than one (namely, Air and Water). Furthermore, using the Platonic approach to analyze the geometric properties of the Cosmos as a whole, I believe Timaeus built the 12 pentagonal faces of the Dodecahedron using elementary Golden Triangles (a/b = ) and the Mtrmeru sequence. This would also demonstrate that my mathematical interpretation of the platonic texts is at the very least plausible. Plato most likely refers to the Line of the Horizon paradigm in his Republic when he speaks of the Divided Line to explain his cosmological doctrine of ideas.

Author(s) Details

Maria Antonietta Salamone
Department of Philosophy and Society, Faculty of Philosophy, Complutense University of Madrid, 28040 Madrid, Spain.

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A Survey on the Behavior of the Resolvent of Weighted Shift Operator

In this survey, we look at some findings regarding the behavior of the resolvent of a weighted shift operator. The relationship between the coefficients of the mentioned operators, the behavior of the Cesaro averages, and the behavior of the resolvent were all taken into account.

Author(s) Details

Ali A. Shukur
Computer Technical Engineering Department, College of Technical Engineering, The Islamic University, Najaf, Iraq and Department of Functional Analysis, Belarusian State University, St. Nisovizimosti 4, 22003, Minsk, Belarus.

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