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An Adjusted Trinomial Lattice for Pricing Arithmetic Average Based Asian Option
Dennis Odhiambo Ogot,
Phillip Ngare,
Joseph Mung’atu
Issue:
Volume 6, Issue 2, April 2018
Pages:
28-33
Received:
9 November 2017
Accepted:
22 November 2017
Published:
24 March 2018
Abstract: An adjusted trinomial model for pricing both European and American arithmetic average-based Asian options is proposed. The Kamrad and Ritchken trinomial tree governs the underlying asset evolution. The algorithm selects a subset of the true averages realized at each node to serve as the representative averages. The option prices are then computed via backward induction and interpolation. The results show that the trinomial method produces more accurate prices especially in the case of European style Asian options.
Abstract: An adjusted trinomial model for pricing both European and American arithmetic average-based Asian options is proposed. The Kamrad and Ritchken trinomial tree governs the underlying asset evolution. The algorithm selects a subset of the true averages realized at each node to serve as the representative averages. The option prices are then computed v...
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Numerical Analysis of Non-Uniform Heat Source/Sink in a Radiative Micropolar Variable Electric Conductivity Fluid with Dissipation Joule Heating
Rasaq Adekunle Kareem,
Sulyman Olakunle Salawu,
Jacob Abiodun Gbadeyan
Issue:
Volume 6, Issue 2, April 2018
Pages:
34-41
Received:
12 February 2018
Accepted:
6 March 2018
Published:
26 March 2018
Abstract: Computational analysis of radiative heat transfer of micropolar variable electric conductivity fluid with a non-even heat source/sink and dissipative joule heating have been carried out in this article. The flow past an inclined plate with an unvarying heat flux is considered. The transformed equations of the flow model are solved by the Runge-Kutta scheme coupled with shooting method to depict the dimensionless temperature, microrotation and velocity at the boundary layer. The results show that the coefficient of the skin friction and the temperature gradient at the wall increases for regular electric conductivity and non-uniform heat sink/source.
Abstract: Computational analysis of radiative heat transfer of micropolar variable electric conductivity fluid with a non-even heat source/sink and dissipative joule heating have been carried out in this article. The flow past an inclined plate with an unvarying heat flux is considered. The transformed equations of the flow model are solved by the Runge-Kutt...
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Multiple Attribute Comprehensive Evaluation Method Based on Interval Number Aggregation Operators
Issue:
Volume 6, Issue 2, April 2018
Pages:
42-47
Received:
26 April 2018
Published:
27 April 2018
Abstract: The concept of position weight is put forward based on the varied position of different attribute value in the overall distribution of attribute value with the same attribute in multiple attribute and comprehensive assessment issues. What’s more, the calculation method of position weight is given and the interval numbers ordered weighted averaging (INOWA) is defined. A comprehensive evaluation method based on position weight of attribute value is put forward. Finally, case study shows that the method is feasible and effective.
Abstract: The concept of position weight is put forward based on the varied position of different attribute value in the overall distribution of attribute value with the same attribute in multiple attribute and comprehensive assessment issues. What’s more, the calculation method of position weight is given and the interval numbers ordered weighted averaging ...
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Comprehensive Evaluation of Logistics Enterprise Performance Based on DEA and Inverted DEA Model
Zhang Qian,
Zhang Bing-jiang
Issue:
Volume 6, Issue 2, April 2018
Pages:
48-54
Received:
26 April 2018
Published:
27 April 2018
Abstract: DEA is a systematic method for analyzing the relative effectiveness or benefit of decision- making units based on multi-index inputs and multi-index outputs, while Inverted DEA is a method for evaluating decision-making units based on ineffectiveness. In order to make a more reasonable evaluation of the decision-making unit, we consider using the characteristics of both DEA and Inverted DEA models to make a comprehensive evaluation of decision-making units. After discussing DEA model, Inverted DEA model and the comprehensive evaluation methods such as TOPSIS, a weighted geometric evaluation method was proposed. By using the proposed weighted geometric evaluation method and the other four evaluation methods, we evaluated the performance of 16 logistics enterprises in our country and the evaluation results were compared and sorted. The results show that the weighted geometric evaluation method can provide a new idea for the comprehensive evaluation based on DEA and Inverted DEA models.
Abstract: DEA is a systematic method for analyzing the relative effectiveness or benefit of decision- making units based on multi-index inputs and multi-index outputs, while Inverted DEA is a method for evaluating decision-making units based on ineffectiveness. In order to make a more reasonable evaluation of the decision-making unit, we consider using the c...
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Association Rule Mining for the Talents Introduction Strategy: A Case Study of Zhejiang University of Finance & Economics
Wang Qin,
Zhang Kangkang,
Chen Huiting
Issue:
Volume 6, Issue 2, April 2018
Pages:
55-61
Received:
26 April 2018
Published:
27 April 2018
Abstract: In recent years, the issues of the talents introduction have attracted more and more researchers' and college administrators' attention. In the era of big data, data mining technology is widely used in various fields and has achieved remarkable results. The application of data mining technology in the introduction of university talents is in the ascendant. This paper uses the effective information of 245 teachers recruited by Zhejiang University of Finance & Economics since 2011 to explore and model the association rules. It preprocesses the raw information data by hierarchical clustering, and use Apriori algorithm to obtain a set of rules for the paper score and the situation of receiving the National Foundation of China (NFC) in 3 years. These rules will provide a constructive guiding significance for the introduction of talents in Zhejiang University of Finance & Economics.
Abstract: In recent years, the issues of the talents introduction have attracted more and more researchers' and college administrators' attention. In the era of big data, data mining technology is widely used in various fields and has achieved remarkable results. The application of data mining technology in the introduction of university talents is in the as...
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A New Method Detecting Abrupt Change Base on Moving Cut Data-Permutation Entropy
Luo Wenxiang,
Wan Li,
Lai Simin
Issue:
Volume 6, Issue 2, April 2018
Pages:
62-70
Received:
19 June 2018
Published:
20 June 2018
Abstract: Permutation entropy is an effective index which can be used to describe the dynamic complexity of a time series, and it can effectively enlarge the small changes of a sequence. In this paper, the moving cut data-permutation entropy, a new method detecting abrupt change is raised by combining the permutation entropy method with the moving cut data technology. Different moving window scales are selected to analyze the mutational detection of linear and nonlinear time series via the new method respectively. The effect of peak noise and white Gaussian noise on this new method in nonlinear time series constructed by Lorenz equation and random sequence was studied. The results show that the moving cut data-permutation entropy method has strong anti-noise ability, which is able to precisely identify the mutational point of both the linear and nonlinear time series, and almost independent the scale of window and the length of sequence.
Abstract: Permutation entropy is an effective index which can be used to describe the dynamic complexity of a time series, and it can effectively enlarge the small changes of a sequence. In this paper, the moving cut data-permutation entropy, a new method detecting abrupt change is raised by combining the permutation entropy method with the moving cut data t...
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A Nonmonotone Trust Region Method for Nonsmooth Composite Programming Problems
Issue:
Volume 6, Issue 2, April 2018
Pages:
71-77
Received:
25 June 2018
Published:
26 June 2018
Abstract: A class of nonsmooth composite minimization problems are considered in this paper. In practice, many problems in computational science, engineering and other enormous areas fall into this class of problems. Two obvious applications of this class of problems are least square problems with nonsmooth data and the problem of solving a system of nonsmooth equations. Because of its practical importance, this class of problem has received wide attention from the mathematical optimization community. In particular, Sampaio, Yuan and Sun has proposed a trust region method for this class of problems and also provided the convergence analysis to support their algorithm. Motivated partly by their work, in this paper a nonmonotone trust region algorithm for this class of nonsmooth composite minimization problems is presented. Different from most existing monotone line search and trust region methods, this method combines the nonmonotone technique to improve the efficiency of the trust region method. After a brief introduction of the class of problems in the first section, some fundamental concepts and properties which will be used in this paper are presented. Then, the new nonmonotone trust region algorithm for the class of problem is described followed by the global convergence analysis of the new algorithm. A simple application of this algorithm is discussed in the last part of this paper.
Abstract: A class of nonsmooth composite minimization problems are considered in this paper. In practice, many problems in computational science, engineering and other enormous areas fall into this class of problems. Two obvious applications of this class of problems are least square problems with nonsmooth data and the problem of solving a system of nonsmoo...
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Practice of Data Mining in Formative Evaluation
Lintong Zhang,
Na Li,
Zhigang Zhang
Issue:
Volume 6, Issue 2, April 2018
Pages:
78-86
Received:
25 June 2018
Published:
26 June 2018
Abstract: The main purpose of this paper is to use the students' English learning situation on the Internet to formally evaluate the students' final English performance level. First of all, we introduce the concept of formative evaluation, and the principles of three kinds of data mining algorithms: naive Bayes classification, C4.5 decision tree, and Logistic regression; then, we use the student online learning data table to achieve the key calculation process of the above algorithm; Further, we use Matlab programming to predict the student's final grade level and compare the performance of each algorithm. Practice shows that, C4.5 performs better than Naive Bayes algorithm on predicting the four classifications of grades (great/good/medium/bad), but the accuracy is not very high; Naive Bayes performs better than the other two algorithms and has higher accuracy on predicting the two classifications of grades (good/bad). Considering the two factors of duration of online learning and number of submissions, the accuracy of the prediction has not been significantly improved. Therefore, there is no need to consider both in terms of this formative assessment. Formative assessment has a very important significance in teaching, and plays a key role in motivating students' learning and teacher guidance. According to the forecast results, it can provide some help and guidance for students' follow-up study, so as to improve students' learning effect.
Abstract: The main purpose of this paper is to use the students' English learning situation on the Internet to formally evaluate the students' final English performance level. First of all, we introduce the concept of formative evaluation, and the principles of three kinds of data mining algorithms: naive Bayes classification, C4.5 decision tree, and Logisti...
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Research and Demonstration of the Refraction Problems
Xiao Hu,
Lintong Zhang,
Jixun Chu
Issue:
Volume 6, Issue 2, April 2018
Pages:
87-96
Received:
25 June 2018
Published:
26 June 2018
Abstract: The introduction of function extremum promotes the development of calculus, which is the prerequisite and important condition for the development and development of many mathematical ideas. Except for extreme problems in social life or science and technology, the issue of cost in economic issues, the shortest distance in mathematics problem can be solved by the function extreme value thought. However, because the extreme value problem is not well described, learners cannot easily observe and learn. This paper takes the uniform speed and uniform acceleration and descent in the descent model as an example. In the uniform acceleration, the dichotomy is introduced to solve the function extremum problem. Through MATLAB simulation, the position of the steepest descent point is found intuitively and relevant conclusions are obtained. It is hoped that the research process of the problem can be helpful to the study of refractive problems, and it is hoped that the visually intuitive simulation results can enable learners to understand the descent model more objectively.
Abstract: The introduction of function extremum promotes the development of calculus, which is the prerequisite and important condition for the development and development of many mathematical ideas. Except for extreme problems in social life or science and technology, the issue of cost in economic issues, the shortest distance in mathematics problem can be ...
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