Open Access Original Research Article

The Effect of Background on Students’ Interest in Mathematics: The Mediation of Students’ Motivation and Perception in Ghana

Yarhands Dissou Arthur

Asian Journal of Probability and Statistics, Page 1-13
DOI: 10.9734/ajpas/2019/v5i330135

The dependence of scientific and technological advancement on mathematics requires investigation into what affects students’ motivation in mathematics. The present study investigated the influence of students’ background (SB) as mediated by students’ perception (SP), and students’ motivation (SM) as predictor of students’ interest in mathematics (SIM). The study further presented an empirical structural equation models (SEM) that predicts students’ interest, students’ motivation and students’ perception in mathematics. Using cohort samples of randomly selected 1,263, participants completed researcher-designed and validated questionnaires with a-reliability of 0.74, 0.7, 0.68, 0.82 and 0.94 for SIM, SB, SM, SP and overall instrument reliability respectively. The results from the study at 5% alpha level indicated as statistically significant relationship between SP, SB, SM and SIM. SP, SB, SM explain 27.9% of variance in SIM. The study further revealed statistical significance between SB and SP such that SB explains 32.1%, of variance in SP. The study finally established statistically significant relationship between SB, SP and SM; the study confirms that SB and SP explain 31.6% of SM. The study concluded that students’ interest in mathematics is related to student perception, students’ background, and students’ motivation. It was further concluded that student motivation is related to students’ perceptions and students’ background. Finally, although students’ background predicts students’ perception about mathematics. It is recommended to educators and educational stakeholders to focus attention on determinants of students’ mathematics interest by introducing positive interventions from the very beginning of students’ mathematics education.

Open Access Original Research Article

The Treatment of Second Order Ordinary Differential Equations Using Equidistant One-step Block Hybrid

Y. Skwame, J. Sabo, M. Mathew

Asian Journal of Probability and Statistics, Page 1-9
DOI: 10.9734/ajpas/2019/v5i330136

A general one-step hybrid block method with equidistant of order 6 has been successfully developed for the direct solution of second order IVPs in this article. Numerical analysis shows that the developed method is consistent and zero-stable which implies its convergence. The analysis of the new method is examined on two highly and mildly stiff second-order initial value problems to illustrate the efficiency of the method. It is obvious that our method performs better than the existing method within which we compare our result with. Hence, the approach is an adequate one for solving special second order IVPs.

Open Access Original Research Article

Lomax Weibull Distribution

Benjamin Apam, Nasiru Suleman, Emmanuel Adjei

Asian Journal of Probability and Statistics, Page 1-18
DOI: 10.9734/ajpas/2019/v5i330137

In this article, we introduce the Lomax-Weibull (LoW) distribution using the method of composition of CDFs from the Lomax and Weibull distributions. Expressions for the moment generating function, hazard and survival functions were derived. A plot of the probability distribution function and cumulative distributions were done using the Python software. We also used the maximum likelihood method of estimation to derive the score functions for estimating the parameters of the distribution.

Open Access Original Research Article

Radial Basis Function in Nonlinear Black-Scholes Option Pricing Equation with Transaction Cost

Godwin Onwona-Agyeman, Francis T. Oduro

Asian Journal of Probability and Statistics, Page 1-11
DOI: 10.9734/ajpas/2019/v5i330138

Differential equations play significant role in the world of finance since most problems in these areas are modeled by differential equations. Majority of these problems are sometimes nonlinear and are normally solved by the use of numerical methods. This work takes a critical look at Nonlinear Black-Scholes model with special reference to the model by Guy Barles and Halil Mete Soner. The resulting model is a nonlinear Black-Scholes equation in which the variable volatility is a function of the second derivative of the option price. The nonlinear equation is solved by a special class of numerical technique, called, the meshfree approximation using radial basis function. The numerical results are presented in diagrams and tables.

Open Access Original Research Article

On the Properties and Applications of a Transmuted Lindley-Exponential Distribution

Adamu Abubakar Umar, Innocent Boyle Eraikhuemen, Peter Oluwaseun Koleoso, Jerry Joel, Terna Godfrey Ieren

Asian Journal of Probability and Statistics, Page 1-13
DOI: 10.9734/ajpas/2019/v5i330139

The Quadratic rank transmutation map proposed for introducing skewness and flexibility into probability models with a single parameter known as the transmuted parameter has been used by several authors and is proven to be useful. This article uses this method to add flexibility to the Lindley-Exponential distribution which results to a new continuous distribution called “transmuted Lindley-Exponential distribution”. This paper presents the definition, validation, properties, application and estimation of unknown parameters of the transmuted Lindley-Exponential distribution using the method of maximum likelihood estimation. The new distribution has been applied to a real life dataset on the survival times (in days) of 72 guinea pigs and the result gives good evidence that the transmuted Lindley-Exponential distribution is better than the Lindley-Exponential distribution, Exponential distribution and Lindley distribution based on the dataset used.