{"title":"A decision support package for Local Government Administrators","authors":"M. Agu","doi":"10.4314/GJMAS.V3I2.21362","DOIUrl":"https://doi.org/10.4314/GJMAS.V3I2.21362","url":null,"abstract":"The paper designs and describes the operational characteristics of a software package which can be used to enhance the efficiency and productivity of Local Government administrators. It focuses on the Local Government functions, namely revenue generation, primary education and works services. The design and implementation procedures of the package are presented. The result shows list of teacher's promoted, those retired and the effective dates of their promotions and retirement, amount of revenue generated and the roads under construction through direct labour and under contract with contractors names and addresses. KEY WORDS: Decision support, decision making, education, revenue generation, works services. Global Journal of Mathematical Sciences Vol.3(2) 2004: 149-155","PeriodicalId":126381,"journal":{"name":"Global Journal of Mathematical Sciences","volume":"15 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2004-11-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121558651","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"SOME DEFICIENCIES IN USING MOMENT GENERATING FUNCTIONS","authors":"A. Okolo","doi":"10.4314/GJMAS.V3I1.21347","DOIUrl":"https://doi.org/10.4314/GJMAS.V3I1.21347","url":null,"abstract":"Two deficiencies in using moment-generating functions are given and illustrated with examples. Many distributions do not have moment generating functions, but every distribution has a unique characteristic function. The use of characteristic functions is preferred to moment-generating functions. KEY WORDS: Moment-generating functions, Characteristic functions. Global Jnl of Mathematical Sciences Vol. 31) 2004: 23-26","PeriodicalId":126381,"journal":{"name":"Global Journal of Mathematical Sciences","volume":"718 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2004-05-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122993912","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"POPULATION GROWTH AND HEALTH CARE DELIVERY IN ADAMAWA STATE OF NIGERIA.","authors":"Gm Danbala, H. Mu’azu, Lt Kwache","doi":"10.4314/GJMAS.V3I1.21351","DOIUrl":"https://doi.org/10.4314/GJMAS.V3I1.21351","url":null,"abstract":"Adamawa state population is projected to be approximately 2,819million by the year 2001. This gives an increase of 716,784 as compared to the 1991 census figure, which is 2,102,053 for the state. The last census (1991) formed the basis of this projection. Further,1996 projected population was projected to the year 2001. The projections were obtained using an exponential growth model. \u0000The 1996 Doctors/population and Nurses and mid –Wives/population ratios obtained as 1:29,840 and 1: 7197 respectively are above the World Health Organisation's recommendation (1:10,000 and 1:5,000 respectively). KEY WORDS: Adamawa State, Exponential Growth Model, Population, Ratio, Global Jnl of Mathematical Sciences Vol. 3(1) 2004: 53-56","PeriodicalId":126381,"journal":{"name":"Global Journal of Mathematical Sciences","volume":"79 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2004-05-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121599667","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"VEHICLE REPAIR AND MAINTENANCE COSTS IN NIGERIA DEVELOPMENT OF A STANDARD MODEL","authors":"J. Nwabueze","doi":"10.4314/GJMAS.V3I1.21344","DOIUrl":"https://doi.org/10.4314/GJMAS.V3I1.21344","url":null,"abstract":"A standard model was established for the prediction of repair and maintenance costs of vehicles in a non-profit making government parastatal. The model was derived based on data collected over a ten year period from a non-profit making government parastatal, and it predicts repair and maintenance costs as a linear function of the age (in years) of the vehicles. The model showed that the vehicles' age (in years) was the major determinant of the vehicle repair and maintenance costs. It also revealed that a number of other factors, which were not quantified in this study due to lack of information, influenced repair and maintenance costs but to a lesser degree as compared to the age of the vehicles. These factors include maintenance management, driver skill and attitude, and the condition of the roads. Tests of significance for the model parameters show that most of the parameters are highly significant. Key Words: Repair, Maintenance, Vehicle, Replacement, Model Global Jnl of Mathematical Sciences Vol. 31) 2004: 1-4","PeriodicalId":126381,"journal":{"name":"Global Journal of Mathematical Sciences","volume":"41 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2004-05-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130376077","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"ON DIFFERENTIAL OPERATORS ON W 1,2 SPACE AND FREDHOLM OPERATORS","authors":"M. Egwurube, E. Garba, Bo Ovelami","doi":"10.4314/GJMAS.V3I1.21348","DOIUrl":"https://doi.org/10.4314/GJMAS.V3I1.21348","url":null,"abstract":"A selfadjoint differential operator defined over a closed and bounded interval on Sobolev space which is a dense linear subspace of a Hilbert space over the same interval is considered and shown to be a Fredholm operator with index zero. KEY WORDS: Sobolev space, Hilbert space, dense subspace, Fredholm operator Global Jnl of Mathematical Sciences Vol. 31) 2004: 27-34","PeriodicalId":126381,"journal":{"name":"Global Journal of Mathematical Sciences","volume":"16 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2004-05-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122970896","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"STATISTICAL ANALYSIS AND TESTING OF COINTEGRATED SYSTEMS","authors":"O. Olowofeso, K. A. Khogali, O. Fasoranbaku","doi":"10.4314/GJMAS.V3I1.21346","DOIUrl":"https://doi.org/10.4314/GJMAS.V3I1.21346","url":null,"abstract":"This paper deals with estimation and testing for cointegration when deterministic trends are present in the data generating process. The study confirmed that to estimate the Vector Error Correction Model (VECM) when there is no cointegration will produce an egregious pitfall. Derivation of the linkage between the residual matrix of VECM and the corresponding eigenvalues of the product moment matrices is provided. The bivariate system designed shows a reversal relationship between the lag-lenghts and the values of the likelihood ratio (LR) statistic. Moreover, the values of the (LR) test for different lags at various sample sizes are reported in the simulation. The Monte Carlo experiment shows that the null hypothesis of no cointegration is rejected in favours of cointegration inspite of the deterministic trend in the data. The standard Z-test and t-test prove to be more robust via size properties for a wider range of nuisance parameter than the coefficient based tests. KEY WORDS: Cointegration, Deterministic trend, Vector Autoregressive Estimates, Hypothesis Testing and Data generation process(DGP). Global Jnl of Mathematical Sciences Vol. 31) 2004: 11-21","PeriodicalId":126381,"journal":{"name":"Global Journal of Mathematical Sciences","volume":"8 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2004-05-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131828297","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"CANONICAL BACKWARD DIFFERENTIATION SCHEMES FOR SOLUTION OF NONLINEAR INITIAL VALUE PROBLEMS OF FIRST ORDER ORDINARY DIFFERENTIAL EQUATIONS","authors":"Odekunle","doi":"10.4314/GJMAS.V3I1.21353","DOIUrl":"https://doi.org/10.4314/GJMAS.V3I1.21353","url":null,"abstract":"This paper describes a new nonlinear backward differentiation schemes for the numerical solution of nonlinear initial value problems of first order ordinary differential equations. The schemes are based on rational interpolation obtained from canonical polynomials. They are A-stable. The test problems show that they give better results than Euler backward method and trapezoidal method near a singular point. KEY WORDS: backward differentiation scheme, collocation, initial value problems. Global Jnl Mathematical Sciences Vol.3(1) 2004: 57-63","PeriodicalId":126381,"journal":{"name":"Global Journal of Mathematical Sciences","volume":"29 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2004-05-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128227927","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"ESTIMATION OF IMPULSE RESPONSE FUNCTION BY ITERATIVELY APPLIED MULTIPLE REGRESSION","authors":"E. I. Enang","doi":"10.4314/GJMAS.V3I1.21350","DOIUrl":"https://doi.org/10.4314/GJMAS.V3I1.21350","url":null,"abstract":"In this paper the author uses iterative multiple regression and backward elimination process to determine the impulse response function coefficients of a given pair of input/output process. The computer-based solution is done with the help of a Pascal program, which organises the selection of the input variables with increasing time lag for the iterative solutions. The truncation point is determined by using the error square contributions of the individual input variables. The method proves stable in both numerical and statistical sense. There was no instability observed up to 80 input variables. KEY WORDS: Iterative multiple regression, impulse response function, error square contribution, time series analysis, transfer function model Global Jnl of Mathematical Sciences Vol. 3(1) 2004: 47-51","PeriodicalId":126381,"journal":{"name":"Global Journal of Mathematical Sciences","volume":"11 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2004-05-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123352696","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"SL (6,R) AS THE GROUP OF SYMMETRIES FOR NON RELATIVISTIC QUANTUM SYSTEMS","authors":"E. Ifidon, E. Oghre","doi":"10.4314/GJMAS.V3I1.21349","DOIUrl":"https://doi.org/10.4314/GJMAS.V3I1.21349","url":null,"abstract":"It is shown that the 13 one parameter generators of the Lie group SL(6, R) are the maximal group of symmetries for nonrelativistic quantum systems. The group action on the set of states S Ĥ (H complex Hilbert space) preserves transition probabilities as well as the dynamics of the system. By considering a prolongation of the group action on Ĥ, we have a generalized rotation of state vectors in which the norms are preserved. Thus one obtains new symmetries as well as new representations which aid in the simplification of the system. New solutions can thus be obtained, which in most cases have realistic physical properties. KEY WORDS: Prolongations, Symmetry Groups, Sets of States. Global Jnl of Mathematical Sciences Vol. 31) 2004: 35-46","PeriodicalId":126381,"journal":{"name":"Global Journal of Mathematical Sciences","volume":"56 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2004-05-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125647336","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"EXISTENCE AND UNIQUENESS OF SOLUTION OF FIRST ORDER QUASILINEAR HYPERBOLIC SYSTEM IN TWO INDEPENDENT VARIABLES USING FIXED POINT THEORMS","authors":"E. Ndiyo, E. Ukeje","doi":"10.4314/GJMAS.V3I1.21345","DOIUrl":"https://doi.org/10.4314/GJMAS.V3I1.21345","url":null,"abstract":"Let A(t, x, u) u t + B(t, x, u) u x = C(t, x, u) be a strictly hyperbolic n x n system with u(0, x) = f(x) its initial data. Using the relative compactibility of the domain of dependence of solution, the contraction mapping principle and Schauder fixed point theorem, the existence and uniqueness of the solution to the Cauchy problem are established. Key Words: Uniqueness, Strict Hyperbolicity, Compact and Contraction Operator. Global Jnl of Mathematical Sciences Vol. 31) 2004: 5-10","PeriodicalId":126381,"journal":{"name":"Global Journal of Mathematical Sciences","volume":"22 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2004-05-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125924820","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}