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Global Journal of Mathematical Sciences最新文献

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Characteristics of microwave propagation in vapourised troposphere 微波在蒸发对流层中的传播特性
Global Journal of Mathematical Sciences Pub Date : 2004-11-26 DOI: 10.4314/GJMAS.V3I2.21359
Nn Chigbu, M. Onogu, G. Ajayi
{"title":"Characteristics of microwave propagation in vapourised troposphere","authors":"Nn Chigbu, M. Onogu, G. Ajayi","doi":"10.4314/GJMAS.V3I2.21359","DOIUrl":"https://doi.org/10.4314/GJMAS.V3I2.21359","url":null,"abstract":"Microwave communication equipment design in temperate region may not be very suitable in the tropics because the characteristics of the troposphere as the medium of propagation differ appreciably. This paper present an investigation on effect of vertical gradient of water vapour on refractivity gradient and microwave propagation in a typical troposphere of the tropics. The meteorological vertical data taken from radiosonde confirms evidence of super-refraction and ducting of the microwave signal. KEY WORDS: Ducting, humidity, inversion, refraction, variation. Global Journal of Mathematical Sciences Vol.3(2) 2004: 123-136","PeriodicalId":126381,"journal":{"name":"Global Journal of Mathematical Sciences","volume":"108 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":"122031406","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}
引用次数: 2
A test for the parameters of multiple linear regression models 多元线性回归模型参数的检验
Global Journal of Mathematical Sciences Pub Date : 2004-11-26 DOI: 10.4314/GJMAS.V3I2.21364
C. Nwaigwe, Peter I. Uche, Cn Onuoha
{"title":"A test for the parameters of multiple linear regression models","authors":"C. Nwaigwe, Peter I. Uche, Cn Onuoha","doi":"10.4314/GJMAS.V3I2.21364","DOIUrl":"https://doi.org/10.4314/GJMAS.V3I2.21364","url":null,"abstract":"A test for the parameters of multiple linear regression models is developed for conducting tests simultaneously on all the parameters of multiple linear regression models. The test is robust relative to the assumptions of homogeneity of variances and absence of serial correlation of the classical F-test. \u0000Under certain null and alternative hypotheses, the new test statistic is shown to have limiting central and noncentral chisquare distributions, respectively. A measure of efficiency due to Pitman is used to obtain the asymptotic efficiency of the new test relative to its classical counterpart. A numerical comparison of the two types of tests shows that the present test is slightly more efficient than the classical F-test. KEY WORDS: test, multiple linear regression, parameters, robust, homogeneity of variances. Global Journal of Mathematical Sciences Vol.3(2) 2004: 163-171","PeriodicalId":126381,"journal":{"name":"Global Journal of Mathematical Sciences","volume":"59 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":"131914863","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}
引用次数: 0
Stress components for thermoelastic infinite plate with a curvilinear hole by using complex variables method. 用复变量法求解带曲线孔的热弹性无限板的应力分量。
Global Journal of Mathematical Sciences Pub Date : 2004-11-26 DOI: 10.4314/gjmas.v3i2.21361
A. El-Bary
{"title":"Stress components for thermoelastic infinite plate with a curvilinear hole by using complex variables method.","authors":"A. El-Bary","doi":"10.4314/gjmas.v3i2.21361","DOIUrl":"https://doi.org/10.4314/gjmas.v3i2.21361","url":null,"abstract":"Different methods are established to solve the mixed problem in the theory of elasticity and thermoelasticity. Thermoelasticity represents a generalization of the theory of elasticity, so the equations characterizing the particular material and temperature dependence include an additional relation connecting the heat flux in the body with local temperature gradient. \u0000In this paper we shall use the Cauchy Complex Variables method to solve the integro-differential equation to obtain the components of stress, in the presence of uniform flow of heat in negative direction of y-axis for an infinite plate with a curvilinear hole. KEY WORDS: Theory of thermoelasticity, stress components, infinite plate, curvilinear hole, complex variable method . Global Journal of Mathematical Sciences Vol.3(2) 2004: 143-148","PeriodicalId":126381,"journal":{"name":"Global Journal of Mathematical Sciences","volume":"14 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":"128427765","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}
引用次数: 0
Modelling the harmonized tertiary Institutions Salary Structure (HATISS IV) 高等教育院校统一薪酬结构的建模(HATISS IV)
Global Journal of Mathematical Sciences Pub Date : 2004-11-26 DOI: 10.4314/GJMAS.V3I2.21355
E. Effanga, E. Eteng
{"title":"Modelling the harmonized tertiary Institutions Salary Structure (HATISS IV)","authors":"E. Effanga, E. Eteng","doi":"10.4314/GJMAS.V3I2.21355","DOIUrl":"https://doi.org/10.4314/GJMAS.V3I2.21355","url":null,"abstract":"This paper analyses the Harmonized Tertiary Institution Salary Structure (HATISS IV) used in Nigeria. The irregularities in the structure are highlighted. A model that assumes a polynomial trend for the zero step salary, and exponential trend for the incremental rates, is suggested for the regularization of the structure. Furthermore, a model for salary review is proposed. KEY WORDS: Polynomial trend, exponential trend, Zero step salary, incremental rate, salary modelling. Global Journal of Mathematical Sciences Vol.3(2) 2004: 73-81","PeriodicalId":126381,"journal":{"name":"Global Journal of Mathematical Sciences","volume":" 38","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2004-11-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114051308","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}
引用次数: 0
Estimating software development project size, using probabilistic techniques 使用概率技术估算软件开发项目的规模
Global Journal of Mathematical Sciences Pub Date : 2004-11-26 DOI: 10.4314/GJMAS.V3I2.21366
B. O. Oyelami, S. B. Oyong
{"title":"Estimating software development project size, using probabilistic techniques","authors":"B. O. Oyelami, S. B. Oyong","doi":"10.4314/GJMAS.V3I2.21366","DOIUrl":"https://doi.org/10.4314/GJMAS.V3I2.21366","url":null,"abstract":"This paper describes the quantitative process of managing the size of software development projects by Purchasers (Clients) and Vendors (Development Houses) where there are no historical databases. Probabilistic approach was used to estimate the software project size, using the data collected when we developed a tool to estimate the time to complete a new software project, and from The University of Calabar Computer Centre. The Expected size of the Tool was estimated to be 1.463 KSLOC, but when the tool was actually coded, it was found to have 1.530 KSLOC. To validate the tool further, the expected size of revenue collection program for Equity Bank Plc in Nigeria was estimated to be 17.91 KSLOC, but when the program was coded, the actual size was found to be 17.40 KSLOC. Using a two-tailed test it was found that these results were good estimates as the sizes fell within the 99.80 % confidence limit. That is: \u0000P (μ - 3σ 2 ≤ X ≤ μ + 3σ 2 ) = 99.8% Where \u0000X = Expected size (KSLOC) µ = 17.91 KSLOC= Average source lines of code (mean) σ 2 = 0.2326 KSLOC = Total standard deviation \u0000Standard error = 3.09 \u0000P = probability \u0000Level of significance α = 0.1 KEY WORDS: Expected size, Uncertainty, Size range, KSLOC, Vendors. Global Journal of Mathematical Sciences Vol.3(2) 2004: 179-184","PeriodicalId":126381,"journal":{"name":"Global Journal of Mathematical Sciences","volume":"1 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":"127789975","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}
引用次数: 0
Estimation for small domains in double sampling for stratification 分层双采样小域估计
Global Journal of Mathematical Sciences Pub Date : 2004-11-26 DOI: 10.4314/GJMAS.V3I2.21365
G. A. Udofia
{"title":"Estimation for small domains in double sampling for stratification","authors":"G. A. Udofia","doi":"10.4314/GJMAS.V3I2.21365","DOIUrl":"https://doi.org/10.4314/GJMAS.V3I2.21365","url":null,"abstract":"In this article, we investigate the effect of randomness of the size of a small domain on the precision of an estimator of mean for the domain under double sampling for stratification. The result shows that for a small domain that cuts across various strata with unknown weights, the sampling variance depends on the within domain variance, the variance of means of the domain units in each of the various strata and the variance of the proportion of units of the observed sample that belong to the domain. KEY WORDS: Domain, Double sampling, stratification. Global Journal of Mathematical Sciences Vol.3(2) 2004: 173-178","PeriodicalId":126381,"journal":{"name":"Global Journal of Mathematical Sciences","volume":"17 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":"117143550","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}
引用次数: 0
An alternative approach to absolute-value test for the parameters of multiple linear regression models 多元线性回归模型参数绝对值检验的一种替代方法
Global Journal of Mathematical Sciences Pub Date : 2004-11-26 DOI: 10.4314/GJMAS.V3I2.21357
C. Nwaigwe, Peter I. Uche
{"title":"An alternative approach to absolute-value test for the parameters of multiple linear regression models","authors":"C. Nwaigwe, Peter I. Uche","doi":"10.4314/GJMAS.V3I2.21357","DOIUrl":"https://doi.org/10.4314/GJMAS.V3I2.21357","url":null,"abstract":"An alternative approach to absolute-value test statistic M n is developed for conducting tests simultaneously on all the parameters of multiple linear regression models. \u0000Under certain null and alternative hypotheses, the new test statistic is shown to have limiting central and noncentral chisquare distributions, respectively. \u0000This paper uses a measure of efficiency due to Pitman to compare the asymptotic relative efficiency of the alternative approach to absolute-value test with its classical counterpart (the F-test). Numerical comparison of the alternative approach to absolute-value test with the F-test shows that the present test is slightly more efficient than the classical F-test for h ni > 20 for all i, where h ni = Σb j c ji for all i. KEY WORDS: Alternative approach, absolute-value test, multiple linear regression models parameters, asymptotic relative efficiency. Global Journal of Mathematical Sciences Vol.3(2) 2004: 99-111","PeriodicalId":126381,"journal":{"name":"Global Journal of Mathematical Sciences","volume":"90 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":"122911728","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}
引用次数: 0
Buys – Ballot Estimates for time series decomposition 购买-选票估计时间序列分解
Global Journal of Mathematical Sciences Pub Date : 2004-11-26 DOI: 10.4314/GJMAS.V3I2.21356
I. Iwueze, E. Nwogu
{"title":"Buys – Ballot Estimates for time series decomposition","authors":"I. Iwueze, E. Nwogu","doi":"10.4314/GJMAS.V3I2.21356","DOIUrl":"https://doi.org/10.4314/GJMAS.V3I2.21356","url":null,"abstract":"An estimation procedure based on the Buys – Ballot (1847) table for time series decomposition is given in this paper. We give two alternative methods called the Chain Base Estimation and Fixed Base Estimation methods. Simulated examples are used to illustrate the methods, while comparing them with the least squares approach. U.S. quarterly beer production is re-analysed and the descriptive model obtained is shown to outperform the ARIMA model of Wei (1989) in terms of forecasts. KEY WORDS: Trend, Seasonality, Cycles, Decomposition, Periodicity, Buys-Ballot Estimate. Global Journal of Mathematical Sciences Vol.3(2) 2004: 83-98","PeriodicalId":126381,"journal":{"name":"Global Journal of Mathematical Sciences","volume":"8 4 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":"126205830","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}
引用次数: 29
An examination of the Christoffel-Darboux Recurrence Relation Christoffel-Darboux递推关系的检验
Global Journal of Mathematical Sciences Pub Date : 2004-11-26 DOI: 10.4314/GJMAS.V3I2.21363
A. Okolo, T. Bamiduro
{"title":"An examination of the Christoffel-Darboux Recurrence Relation","authors":"A. Okolo, T. Bamiduro","doi":"10.4314/GJMAS.V3I2.21363","DOIUrl":"https://doi.org/10.4314/GJMAS.V3I2.21363","url":null,"abstract":"An alternate proof of the Christoffel-Darboux recurrence formula for consecutive orthogonal polynomials is presented. An example is used to demonstrate its application to the normalization of a sequence of orthogonal polynomials. KEY WORDS: Orthogonal polynomials, Weight function, Recurrence relation. Global Journal of Mathematical Sciences Vol.3(2) 2004: 157-162","PeriodicalId":126381,"journal":{"name":"Global Journal of Mathematical Sciences","volume":"140 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":"131846890","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}
引用次数: 1
A comparison of Poisson-one-inflated power series distributions for modeling rural out-migration at the household level 农户外迁模型的Poisson-one-inflated power series分布比较
Global Journal of Mathematical Sciences Pub Date : 2004-11-26 DOI: 10.4314/GJMAS.V3I2.21358
C. C. Iwunor
{"title":"A comparison of Poisson-one-inflated power series distributions for modeling rural out-migration at the household level","authors":"C. C. Iwunor","doi":"10.4314/GJMAS.V3I2.21358","DOIUrl":"https://doi.org/10.4314/GJMAS.V3I2.21358","url":null,"abstract":"A class of Poisson-one-inflated power series distributions (the binomial, the Poisson, the negative binomial, the geometric, the log-series and the misrecorded Poisson) are proposed for modeling rural out-migration at the household level. The probability mass functions of the mixture distributions are derived and fitted to the data in Sharma (1985). Their performance in describing the total number of out- migrants from a household are subsequently compared. It was found that while the Poisson-one-inflated log-series distribution was superior to others for modeling out-migration from semi-urban areas and growth centres, the Poisson-one-inflated geometric distribution was better in the case of out-migration from remote areas. Global Journal of Mathematical Sciences Vol.3(2) 2004: 113-122","PeriodicalId":126381,"journal":{"name":"Global Journal of Mathematical Sciences","volume":"9 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":"124941752","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}
引用次数: 1
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