by Arun Kumar Maiti
Original Research
The aim of the present analysis is to study the effect of slip velocity on blood flow through an arterial tube in presence of multiple stenosis. The effects of length of stenosis, shape parameter, parameter γ on resistance to flow and shear stress have been incorporated here. The results have been shown in graphical form and discussed.
American Journal of Applied Mathematics and Statistics. 2016, 4(6), 194-198. DOI: 10.12691/ajams-4-6-5
Pub. Date: January 07, 2017
15326 Views3001 Downloads5 Likes
by Victor Nijimbere
Original Research
The probability of the coincidence of some discrete random variables having a Poisson distribution with parameters λ1, λ2, …, λn, and moments are expressed in terms of the hypergeometric function 1Fn or the modified Bessel function of the first kind if n=2. Considering the null hypothesis H0: λ1=λ2=….= λn =θ, where θ is some positive constant number, asymptotic approximations of the probability and moments are derived for large θ using the asymptotic expansion of the hypergeometric function 1Fn and that of the modified Bessel function of the first kind if n=2. Further, we show that if the sample mean is a minimum variance unbiased estimator (MVUE) for the parameter λi, then the probability that H0 is true can be approximated by that of a coincidence. In that case, a chi-square χ2 goodness of fit test can be established and a 100(1-α)% confidence interval (CI) for θ can be constructed using the variance of the coincidence (or via coincidence) and the Central Limit Theorem (CLT).
American Journal of Applied Mathematics and Statistics. 2016, 4(6), 185-193. DOI: 10.12691/ajams-4-6-4
Pub. Date: January 03, 2017
10540 Views3197 Downloads6 Likes
by Otabor Joseph Osahon and Obahiagbon Kingsley
Original Research
The study investigated the association between internal service quality (ISQ) and employee job satisfaction (EJS) in Federal Neuro-Psychiatric Hospital, Benin City (FNPH). The specific purpose comprised the evaluation of the hospital’s ISQ using SERVPERF model, assess the level of EJS, determine whether ISQ influences EJS, identify which dimensions of ISQ contribute significantly to overall EJS and two hypotheses were raised to guide this study. The survey method was adopted for data collection. A sample of 277 was drawn out of staff population of 900. The reliability of the instrument used for the survey was tested using Cronbach Alpha which yielded an index of (0.937). The data were analyzed using Boxplot, Mean, Standard deviation, Exploratory Factor Analysis and Regression Analysis. The results of analysis revealed ISQ dimensions of Assurance ranked high are the most important among FNPH staff, 65% of them were satisfied with their job and ISQ dimensions contributes 39.6% of the total EJS. The study recommends upgrade of ISQ components, empowerment of the SERVICOM Unit to monitor and ensure service quality compliance not only to external customers (Patience) but also to monitor and enforce ISQ compliance among the Hospital’s internal customers (Employees).
American Journal of Applied Mathematics and Statistics. 2016, 4(6), 178-184. DOI: 10.12691/ajams-4-6-3
Pub. Date: December 29, 2016
28270 Views4621 Downloads5 Likes
by Michael Gr. Voskoglou
Original Research
In the present paper an absorbing Markov Chain model is developed for the description of the problem-solving process and through it a measure is obtained for problem-solving skills. Examples are also presented illustrating the model’s applicability in practice.
American Journal of Applied Mathematics and Statistics. 2016, 4(6), 173-177. DOI: 10.12691/ajams-4-6-2
Pub. Date: December 23, 2016
12801 Views3749 Downloads6 Likes
by Olorunsola E. Olowofeso and Sani I. Doguwa
Original Research
This paper examines the techniques, uses and the various challenges of Business Expectations Survey (BES) in Nigeria. The method of Stratified random sampling design adopted for the collection of the data was described. The firms (small, medium and large) considered are subdivided into strata: industrial, construction, wholesale/ retail trade and services sectors. The method of diffusion indices used to compute the relevant indicators and the business confidence index were also discussed. The uses of BES to check the consistency of exchange rate, inflation rate and lending rate by the deposit money banks as well as for short-term planning and forecasting were highlighted. Both the endogenous and exogenous challenges are discussed. Suggestions to remedy some of the challenges were proffered and conclusion drawn on how mutual understanding and strong network cooperation between data collecting agencies and stakeholders can enhance data credibility and reliability.
American Journal of Applied Mathematics and Statistics. 2016, 4(6), 169-172. DOI: 10.12691/ajams-4-6-1
Pub. Date: October 31, 2016
8922 Views2124 Downloads5 Likes