Open Access Method Article

Beta Likelihood Estimation and Its Application to Specify Prior Probabilities in Bayesian Network

Loc Nguyen

Journal of Advances in Mathematics and Computer Science, Page 1-21
DOI: 10.9734/BJMCS/2016/25731

Maximum likelihood estimation (MLE) is a popular technique of statistical parameter estimation. When random variable conforms beta distribution, the research focuses on applying MLE into beta density function. This method is called beta likelihood estimation, which results out useful estimation equations. It is easy to calculate statistical estimates based on these equations in case that parameters of beta distribution are positive integer numbers. Essentially, the method takes advantages of interesting features of functions gamma, digamma, and trigamma. An application of beta likelihood estimation is to specify prior probabilities in Bayesian network.

Open Access Original Research Article

Integrating AHP-TOPSIS Approach on Prioritizing Self-Service Technology (SST) Decision Making in Financial Institution (TOGO)

Gbongli Komlan

Journal of Advances in Mathematics and Computer Science, Page 1-22
DOI: 10.9734/BJMCS/2016/25359

Aims: Expansions of new technological innovations in networks, Self-Service Technologies (SSTs), are increasingly shifting the way customers interact with firms to create service. However, lots of service innovations have been unsuccessful to generate revenue due to lagging adoption issues. This research is to assess some of the critical variables that affect consumer choice of SST and to determine the best one given the most consumers’ satisfactions for the criteria identified through the integrated AHP-TOPSIS framework that is a MCDM approach.

Study Design/Methodology: This paper used Analytical Hierarchy Process (AHP) to compute the weighting values and Technique for Order Preference by Similarity to Ideal Solution (TOPSIS) to evaluate the SST’s ratings through the helps of five experts in the fields.

Place and Duration of Study: Togo, one of the developing countries in West Africa has been chosen for the duration of two weeks in December 2015.

Results: It revealed that Purpose criteria (59.1%) with Fund Transaction sub-criteria (37.20%) to be the utmost significant factor that could aid banking customers in the choice of SST; Moreover, ATM was identified as the best alternatives behind Online Banking (O-B) and Mobile Banking (M-B) respectively.

Conclusion: The main contribution concludes to the fact of how lower adoption rate is M-B in Togo. Both Financial Risk and Transaction Cost reducing policies should therefore be promoted strongly. In addition, Banks operating M-B services compared to prevailing competitors services in a related area such as O-B, should bring innovative services by increasing the Perceived Benefit of SST. These diversities strategies can also be achieved through adding more benefit factor that create incentive for SST users to opt for mobile banking in the near future. Furthermore, the outcomes show that, with slight modifications, the benchmarking structure AHP-TOPSIS proposed can be useful guidance to most of financial institutions in their selection’s decision-making.

Open Access Original Research Article

On the Asymptotic Stability of Solutions for a Certain Non-autonomous Third-order Delay Differential Equation

A. M. Mahmoud

Journal of Advances in Mathematics and Computer Science, Page 1-12
DOI: 10.9734/BJMCS/2016/23936

In this paper, we shall establish sufficient conditions for the asymptotic stability of the zero solution for a certain nonlinear non-autonomous third-order delay differential equation of the following type


                                           + a(t) + b(t)g( (t − r(t))) + c(t)h(x(tr(t))) = 0.

By using a Lyapunov functional as a basic technique, we obtain a result which includes and improves some related results in literature. An example is given in the last section of this paper, to illustrate our main result of stability.

Open Access Original Research Article

Open Access Original Research Article

Stability of the Triangular Points L4,5 in the ER3BP under the Influence of the Octupolar Mass Moment J4 of the Secondary

Jagadish Singh, Rukkayat Suleiman, Aishetu Umar

Journal of Advances in Mathematics and Computer Science, Page 1-11
DOI: 10.9734/BJMCS/2016/24539

This paper investigates the effects of the quadruple J2 and octupolar mass moment J4 of the secondary on the triangular points L4,5 in the elliptic restricted three-body problem (ER3BP). The positions and stability of the triangular points are affected by the perturbations in the shape of the smaller primary (oblateness up to J4 ) and the elliptic nature of the orbits. An application of the results to double white dwarf binaries, reveals that the triangular points of the binaries are unstable due to the mass ratio  falling outside the stability range 0 < µ < µc ; where  (µ≤1/2).

Open Access Original Research Article

Evaluation of Plastic Waste Classification Systems

Anuoluwapo O. Ajayi, Kudirat A. Jimoh, Oluwatobi A. Ayilara

Journal of Advances in Mathematics and Computer Science, Page 1-11
DOI: 10.9734/BJMCS/2016/25860

Aim: A comparison study of three classifiers was carried out to identify the best classifier which can be utilized to automate and enhance the manual process of identifying and sorting plastic waste.

Place and Duration of Study: Department of Computer Science and Engineering, Obafemi Awolowo University, between April 2014 and September 2015.

Methodology: Collection of plastic wastes data from purposely selected disposal sites was done and the distinguishing characteristics (average spectrum power and shape area) of those plastic wastes were computed and used as feature data. The three classifiers designed using machine leaning and statistical techniques were implemented in the MATLAB environment. The classifiers are Fuzzy inference system, multi-layer perceptron and linear discriminant analysis. The efficiency of the three classifiers was compared using mean square error, mean absolute error and receiver operating characteristics.

Results: It was observed that the classifier designed using artificial neural network had the lowest mean absolute (0.07) and mean square error (0.07), compared to other classifiers. More so, the neural network model had the highest correct classification accuracy of 92.98% as against 87.72% and 75.44% recorded for fuzzy inference system and linear discriminant analysis, respectively.

Conclusion: The study has successfully classified plastic waste data using the spectrum power from the sound signal produced from plastics and the plastic's shape area. Thus, confirming that sound wave signal from plastic could be utilized as feature data in plastic waste identification.

Open Access Original Research Article

On New Identities for Basic Polynomials Sequences in Finite Operator Calculus

A. Maheswaran, C. Elango

Journal of Advances in Mathematics and Computer Science, Page 1-11
DOI: 10.9734/BJMCS/2016/24896

The main objective of this paper is to investigate the characterization of the delta operator for some basic polynomials. A theorem from G.C.Rota which gives the necessary and sufficient conditions for the sequence of basic polynomials corresponding to some delta operator Q is reconstructed in terms of three new identities and this theorem is verified by some comprehensive examples.