• Title/Summary/Keyword: Statistical modelling

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GOMME: A Generic Ontology Modelling Methodology for Epics

  • Udaya Varadarajan;Mayukh Bagchi;Amit Tiwari;M.P. Satija
    • Journal of Information Science Theory and Practice
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    • v.11 no.1
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    • pp.61-78
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    • 2023
  • Ontological knowledge modelling of epic texts, though being an established research arena backed by concrete multilingual and multicultural works, still suffers from two key shortcomings. Firstly, all epic ontological models developed till date have been designed following ad-hoc methodologies, most often combining existing general purpose ontology development methodologies. Secondly, none of the ad-hoc methodologies consider the potential reuse of existing epic ontological models for enrichment, if available. This paper presents, as a unified solution to the above shortcomings, the design and development of GOMME - the first dedicated methodology for iterative ontological modelling of epics, potentially extensible to works in different research arenas of digital humanities in general. GOMME is grounded in transdisciplinary foundations of canonical norms for epics, knowledge modelling best practices, application satisfiability norms, and cognitive generative questions. It is also the first methodology (in epic modelling but also in general) to be flexible enough to integrate, in practice, the options of knowledge modelling via reuse or from scratch. The feasibility of GOMME is validated via a first brief implementation of ontological modelling of the Indian epic Mahabharata by reusing an existing ontology. The preliminary results are promising, with the GOMME-produced model being both ontologically thorough and competent performance-wise.

Copula modelling for multivariate statistical process control: a review

  • Busababodhin, Piyapatr;Amphanthong, Pimpan
    • Communications for Statistical Applications and Methods
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    • v.23 no.6
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    • pp.497-515
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    • 2016
  • Modern processes often monitor more than one quality characteristic that are referred to as multivariate statistical process control (MSPC) procedures. The MSPC is the most rapidly developing sector of statistical process control and increases interest in the simultaneous inspection of several related quality characteristics. Most multivariate detection procedures based on a multi-normality assumptions are independent, but there are many processes that assume non-normality and correlation. Many multivariate control charts have a lack of related joint distribution. Copulas are tool to construct multivariate modelling and formalizing the dependence structure between random variables and applied in several fields. From copula literature review, there are a few copula to apply in MSPC that have multivariate control charts, and represent a successful tool to identify an out-of-control process. This paper presents various types of copulas modelling for the multivariate control chart. The performance measures of the control chart are the average run length (ARL) and the average number of observations to signal (ANOS). Furthermore, a Monte Carlo simulation is shown when the observations were from an exponential distribution.

Fostering Students' Statistical Thinking through Data Modelling

  • Ken W. Li
    • Research in Mathematical Education
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    • v.26 no.3
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    • pp.127-146
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    • 2023
  • Statistical thinking has a broad definition but focuses on the context of regression modelling in the present study. To foster students' statistical thinking within the context, teaching should no longer be seen as transfer of knowledge from teacher to students but as a process of engaging with learning activities in which they develop ownership of knowledge. This study aims at collaborative learning contexts; students were divided into small groups in order to increase opportunities for peer collaboration. Each group of students was asked to do a regression project after class. Through doing the project, they learnt to organize and connect previously accrued piecemeal statistical knowledge in an integrated manner. They could also clarify misunderstandings and solve problems through verbal exchanges among themselves. They gave a clear and lucid account of the model they had built and showed collaborative interactions when presenting their projects in front of class. A survey was conducted to solicit their feedback on how peer collaboration would facilitate learning of statistics. Almost all students found their interaction with their peers productive; they focused on the development of statistical thinking with concerted effort.

Fractal Interest Rate Model

  • Rhee, Joon-Hee;Kim, Yoon-Tae
    • Proceedings of the Korean Statistical Society Conference
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    • 2005.05a
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    • pp.179-184
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    • 2005
  • Empirical findings on interet rate dynamics imply that short rates show some long memories and non-Markovin. It is well-known that fractional Brownian motion(fBm) is a proper candidate for modelling this empirical phenomena. fBm, however, is not a semimartingale process. For this reason, it is very hard to apply such processes for asset price modelling. With some modifications, this paper investigate the fBm interest rate theory, and obtain a pure discount bond price and Greeks.

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Modelling on Multi-modal Circular Data using von Mises Mixture Distribution

  • Jang, Young-Mi;Yang, Dong-Yoon;Lee, Jin-Young;Na, Jong-Hwa
    • Communications for Statistical Applications and Methods
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    • v.14 no.3
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    • pp.517-530
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    • 2007
  • We studied a modelling process for unimodal and multimodal circular data by using von Mises and its mixture distribution. In particular we suggested EM algorithm to find ML estimates of the mixture model. Simulation results showed the suggested methods are very accurate. Applications to two kinds of real data sets are also included.

Statistical Modelling and Forecasting of Cervix Cancer Cases in Radiation Oncology Treatment: A Hospital Based Study from Western Nepal

  • Sathian, Brijesh;Fazil, Abul;Sreedharan, Jayadevan;Pant, Sadip;Kakria, Anjali;Sharan, Krishna;Rajesh, E.;Vishrutha, K.V.;Shetty, Soumya B.;Shahnavaz, Shameema;Rao, Jyothi H.;Marakala, Vijaya
    • Asian Pacific Journal of Cancer Prevention
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    • v.14 no.3
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    • pp.2097-2100
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    • 2013
  • Background: To estimate the numbers and trends in cervix cancer cases visiting the Radiotherapy Department at Manipal Teaching Hospital, Pokhara, Nepal, statistical modelling from retrospective data was applied. Materials and Methods: A retrospective study was carried out on data for a total of 159 patients treated for cervix cancer at Manipal Teaching Hospital, Pokhara, Nepal, between $28^{th}$ September 2000 and $31^{st}$ December 2008. Theoretical statistics were used for statistical modelling and forecasting. Results: Using curve fitting method, Linear, Logarithmic, Inverse, Quadratic, Cubic, Compound, Power and Exponential growth models were validated. Including the constant term, none of the models fit the data well. Excluding the constant term, the cubic model demonstrated the best fit, with $R^2$=0.871 (p=0.004). In 2008, the observed and estimated numbers of cases were same (12). According to our model, 273 patients with cervical cancer are expected to visit the hospital in 2015. Conclusions: Our data predict a significant increase in cervical cancer cases in this region in the near future. This observation suggests the need for more focus and resource allocation on cervical cancer screening and treatment.

Performance of Cu-SiO2 Aerogel Catalyst in Methanol Steam Reforming: Modeling of hydrogen production using Response Surface Methodology and Artificial Neuron Networks

  • Taher Yousefi Amiri;Mahdi Maleki-Kakelar;Abbas Aghaeinejad-Meybodi
    • Korean Chemical Engineering Research
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    • v.61 no.2
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    • pp.328-339
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    • 2023
  • Methanol steam reforming (MSR) is a promising method for hydrogen supplying as a critical step in hydrogen fuel cell commercialization in mobile applications. Modelling and understanding of the reactor behavior is an attractive research field to develop an efficient reformer. Three-layer feed-forward artificial neural network (ANN) and Box-Behnken design (BBD) were used to modelling of MSR process using the Cu-SiO2 aerogel catalyst. Furthermore, impacts of the basic operational variables and their mutual interactions were studied. The results showed that the most affecting parameters were the reaction temperature (56%) and its quadratic term (20.5%). In addition, it was also found that the interaction between temperature and Steam/Methanol ratio is important on the MSR performance. These models precisely predict MSR performance and have great agreement with experimental results. However, on the basis of statistical criteria the ANN technique showed the greater modelling ability as compared with statistical BBD approach.

STATISTICAL MODELLING USING DATA MINING TOOLS IN MERGERS AND ACQUISITION WITH REGARDS TO MANUFACTURE & SERVICE SECTOR

  • KALAIVANI, S.;SIVAKUMAR, K.;VIJAYARANGAM, J.
    • Journal of applied mathematics & informatics
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    • v.40 no.3_4
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    • pp.563-575
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    • 2022
  • Many organizations seek statistical modelling facilitated by data analytics technologies for determining the prediction models associated with M&A (Merger and Acquisition). By combining these data analytics tool alongside with data collection approaches aids organizations towards M&A decision making, followed by achieving profitable insights as well. It promotes for better visibility, overall improvements and effective negotiation strategies for post-M&A integration. This paper explores on the impact of pre and post integration of M&A in a standard organizational setting via devising a suitable statistical model via employing techniques such as Naïve Bayes, K-nearest neighbour (KNN), and Decision Tree & Support Vector Machine (SVM).

Statistical Approximation of Szász Type Operators Based on Charlier Polynomials

  • Kajla, Arun
    • Kyungpook Mathematical Journal
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    • v.59 no.4
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    • pp.679-688
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    • 2019
  • In the present note, we study some approximation properties of the Szász type operators based on Charlier polynomials introduced by S. Varma and F. Taşdelen (Math. Comput. Modelling, 56 (5-6) (2012) 108-112). We establish the rates of A-statistical convergence of these operators. Finally, we prove a Voronovskaja type approximation theorem and local approximation theorem via the concept of A-statistical convergence.

Optimization of productivity in the rehabilitation of building linked to BIM

  • Boulkenafet Nabil;Boudjellal Khaled;Bouabaz Mohamed
    • Advances in Computational Design
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    • v.8 no.2
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    • pp.179-190
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    • 2023
  • In this paper, building information modelling (BIM) associated to the principle of significant items emerged at quantities and costs in the optimization of productivity related to the rehabilitation of the building where proposed and discussed. A quantitative and qualitative study related to the field of application based on some parameters such as pathology diagnosis, projects documents and bills of quantities were used for model development at the preliminary stage of this work. The study identified 14 quantities significant items specified to cost value based on the use of the 80/20 Pareto rule, through the integration of building information modelling (BIM) in the optimisation of labour productivity for rehabilitation of buildings. The results of this study reveal the reliability and the improvement of labour productivity using building information modelling process integrating quantities and cost significant items.