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A New Method for the Model Selection in B-Spline Surface Approximation with an Influence Function
Issue:
Volume 1, Issue 5, December 2013
Pages:
38-46
Received:
27 August 2013
Published:
20 October 2013
Abstract: In model selection, the most effective method requires much time.The analysis of the bivariate B-spline model with a penalized term has many difficulties.It has many factors and parameters such the number of the knots, the locations of those knots, number of B-spline functions and the value of the smoothing parameter of the penalized term.For the determination of the model we have to compare a large amount of the combinations of those parameters. Various information criteria are considered and the cross validation (CV) criterion is excellent but it requires a large amount of computational costs. The effect of the influence function and the techniques of the generalized cross validation (CV) are considered. The influence function is related to the first term of a Taylor expansion. Some alternative methods are tested and a new method is proposed. For the verification of this method theoretical proof and the computational results are shown.
Abstract: In model selection, the most effective method requires much time.The analysis of the bivariate B-spline model with a penalized term has many difficulties.It has many factors and parameters such the number of the knots, the locations of those knots, number of B-spline functions and the value of the smoothing parameter of the penalized term.For the d...
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Symmetry Analysis to f'''+βff''-αf'2=0 Arising in Boundary Layer Theory
Salma Mohammad Al-Tuwairqi,
Anisa Mukhtar Hassan
Issue:
Volume 1, Issue 5, December 2013
Pages:
47-49
Received:
10 September 2013
Published:
20 October 2013
Abstract: In this paper we analyze the boundary layer equation f^'''+βff^''-α〖f'〗^2=0 using a group theoretical method known as symmetry method. We obtain the symmetry group admitted by the boundary layer equation. We then construct exact invariant solutions and outline a symmetry reduction. The invariant solution is examined under common boundary conditions.
Abstract: In this paper we analyze the boundary layer equation f^'''+βff^''-α〖f'〗^2=0 using a group theoretical method known as symmetry method. We obtain the symmetry group admitted by the boundary layer equation. We then construct exact invariant solutions and outline a symmetry reduction. The invariant solution is examined under common boundary conditions...
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Research on the Construction of Supply Chain Network Based on Fixed Spread Risk
Lei Wen,
Yachao Shi,
Mingfang Guo
Issue:
Volume 1, Issue 5, December 2013
Pages:
50-53
Received:
8 October 2013
Published:
10 November 2013
Abstract: Supply chain is an integrated network where suppliers, sellers and customers are highly interconnected through business activities. The basic character of supply chain is complexity, dynamic and growth. In this paper, based on the complex network theory, we build a supply chain network model based on gradual risk. The dynamic growth mechanism of the supply chain network is based on the local world evolving model. The new node adds the local world entering with a certain probability. Combined with supply chain, the node, the edge and the weighted and the network are being redefined. The process of how new added node assign risk to old nodes is also introduced
Abstract: Supply chain is an integrated network where suppliers, sellers and customers are highly interconnected through business activities. The basic character of supply chain is complexity, dynamic and growth. In this paper, based on the complex network theory, we build a supply chain network model based on gradual risk. The dynamic growth mechanism of th...
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Prediction of Academic Manpower System of a Polytechnic Institution in Nigeria
Ogbogbo,
G. O.,
Ebuh,
G. U.,
Aronu,
C. O.
Issue:
Volume 1, Issue 5, December 2013
Pages:
54-61
Received:
12 October 2013
Published:
10 November 2013
Abstract: This study is on makovian approach in studying the behaviour of the academic staff grade transition of a Polytechnic institution in Nigeria. The objective of this study is to determine the proportion of staff recruited, promoted and withdrawn from the various grade levels in the institution over the years and also forecast the expected manpower structure of the institution for 2014/2015 session. Secondary data obtained from the Personnel Department of Delta State Polytechnic, Oghara for 2006/07 – 2011/12 sessions was used to evaluate the method. The findings from the analysis showed that the academic staff grade transition flow is stationary over the observed time period. Also, it was predicted that at the beginning of the 2014/15 session, that the expected staff structure of Delta State Polytechnic Otefe-Oghara will consist of 2 Assistant Lecturer’s, 15 Lecturer’s III, 11 Lecturer’s II, 12 Lecturer’s I, 9 Senior Lecturer’s, 7 Principal Lecturer’s and 7 Chief Lecturer’s; if the current recruitment and promotion policies in the institution remain unchanged. The predicted distributed structure of academic staff of Delta state Polytechnic for 2014/15 session was observed to be approximately normally distributed.
Abstract: This study is on makovian approach in studying the behaviour of the academic staff grade transition of a Polytechnic institution in Nigeria. The objective of this study is to determine the proportion of staff recruited, promoted and withdrawn from the various grade levels in the institution over the years and also forecast the expected manpower str...
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Moments of Continuous Bi-Variate Distributions: An Alternative Approach
Issue:
Volume 1, Issue 5, December 2013
Pages:
62-69
Received:
29 September 2013
Published:
20 November 2013
Abstract: We propose a method of obtaining the moment of some continuous bi-variate distributions with parameters α1 β1 andα2 β2 in finding the nth moment of the variable x^c y^d (c≥0, d≥0) where X and Y are continuous random variables having the joint pdf, f(x,y).Here we find the so called gn(c, d)defined gn(c, d)= E(X^cY^d+λ)^n, the nth moment of expected value of the t distribution of the cth power of X and dth power of Y about the constant λ.These moments are obtained by the use of bi-variate moment generating functions, when they exist. The proposed gn(c, d) is illustrated with some continuous bi-variate distributions and is shown to be easy to use even when the powers of the random variables being considered are non-negative real numbers that need not be integers. The results obtained using gn(c, d) are the same as results obtained using other methods such as moment generating functions when they exist.
Abstract: We propose a method of obtaining the moment of some continuous bi-variate distributions with parameters α1 β1 andα2 β2 in finding the nth moment of the variable x^c y^d (c≥0, d≥0) where X and Y are continuous random variables having the joint pdf, f(x,y).Here we find the so called gn(c, d)defined gn(c, d)= E(X^cY^d+λ)^n, the nth moment of expected...
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Non-Parametric Study of the Attitude of Civil Servants towards Made-in-Nigeria Goods (A Case Study of Owerri Urban, Imo State, Nigeria)
Issue:
Volume 1, Issue 5, December 2013
Pages:
70-81
Received:
10 December 2013
Published:
10 January 2014
Abstract: This study tends to analyze the attitude of civil servants towards made-in-Nigeria goods in Owerri Urban, Imo State. It is an attempt to provide a general picture of the level of acceptability of these goods and ways of raising their quality standards so as to increase demand. The analysis using the Chi-square test showed that the opinion of civil servants on the prices of made in Nigeria goods are independent of sex, educational attainment, level of income and various ages of the civil servants. The analysis using the non-parametric Friedman test revealed that that there is at least a factor that is responsible for the low quality and less durability of made in Nigeria goods. The analysis using the non-parametric Kruskal Wallis test concluded that the suggested opinions are the ways of raising the quality standards of made in Nigeria goods so as to increase demand.
Abstract: This study tends to analyze the attitude of civil servants towards made-in-Nigeria goods in Owerri Urban, Imo State. It is an attempt to provide a general picture of the level of acceptability of these goods and ways of raising their quality standards so as to increase demand. The analysis using the Chi-square test showed that the opinion of civil ...
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Longitudinal Studies of Random Effect Model on Academic Performance of Undergraduate Students
Chukwudi Justine Ogbonna,
Opara Jude
Issue:
Volume 1, Issue 5, December 2013
Pages:
82-97
Received:
29 December 2013
Published:
30 January 2014
Abstract: This paper discussed the longitudinal studies of random effect model on academic performance of student using Federal University of Technology, Owerri Imo State Nigeria as a case study. Secondary data were adopted for the research work, and a SAS software package was used for the analysis. There appears to be some curvature in the average trend and individual profile plots, and hence a quadratic time effect was fitted to the data. From the individual profiles are the total observations collected for the analysis. From the profiles of the type of SSA, Entry Age, Entry Aggregate and Gender, it could be assumed that each profiles evolution follows a quadratic trend. Also, it could be concluded that most students who started with low GPA at semester one, improved in their performance to semester three and there was a downward trend before semester seven. Further, the mean profile for SSA was explored. From the chosen model among all models fitted to the data set, we conclude based on the results obtained that student’s GPA depends on the SSA, Entry Age, Entry Aggregate and Gender). Student with high and medium admission aggregates scores high GPA and student with low admission aggregates scores low GPA at semester one, but on the average students with Low and Medium Entry Aggregate score higher GPA than students with High Entry Aggregate. The performance of GSS students is better as compare to that PSS at semester one and on the average. Meanwhile, in all the models it appeared, student GPA’s increase from semester one to semester three and decreases after semester three. Generally students tend to perform better at the third semester. The analysis also revealed that the academic performance is dependent on the SSA, Entry Age, Entry Aggregate and Gender.
Abstract: This paper discussed the longitudinal studies of random effect model on academic performance of student using Federal University of Technology, Owerri Imo State Nigeria as a case study. Secondary data were adopted for the research work, and a SAS software package was used for the analysis. There appears to be some curvature in the average trend and...
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