{"title":"On the Generalized Power Transformation of Left Truncated Normal Distribution","authors":"C. Okoli, D. F. Nwosu, G. A. Osuji, N A Nsiegbe","doi":"10.52589/ajmss-4cew6pbo","DOIUrl":"https://doi.org/10.52589/ajmss-4cew6pbo","url":null,"abstract":"In this study, we considered various transformation problems for a left-truncated normal distribution recently announced by several researchers and then possibly seek to establish a unified approach to such transformation problems for certain type of random variable and their associated probability density functions in the generalized setting. The results presented in this research, actually unify, improve and as well trivialized the results recently announced by these researchers in the literature, particularly for a random variable that follows a left-truncated normal distribution. Furthermore, we employed the concept of approximation theory to establish the existence of the optimal value y_max in the interval denoted by (σ_a,σ_b) ((σ_p,σ_q)) corresponding to the so-called interval of normality estimated by these authors in the literature using the Monte carol simulation method.","PeriodicalId":251990,"journal":{"name":"African Journal of Mathematics and Statistics Studies","volume":"132 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-08-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134218265","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":"Markov Switching Intercept Vector Autoregressive Model (MSI(2)-VAR(2)) of Nigeria Inflation Rate and Crude Oil Price (Using Views 11)","authors":"L Wiri, P. Sibeate, D. E. Isaac","doi":"10.52589/ajmss-vy1oocxz","DOIUrl":"https://doi.org/10.52589/ajmss-vy1oocxz","url":null,"abstract":"To model inflation rate and crude oil prices, we used Markov Switching intercept heteroscedasticity Vector Autoregressive models. The data for this analysis was gathered from the Central Bank of Nigeria Statistical Bulletin monthly. The upward and downward movement in the series revealed by the time plot suggests that the series exhibit a regime-switching pattern: the period of expansion and contraction. The variable was stationary at first differences, the Augmented Dickey-Fuller test was used to screen for stationarity. The information criteria were used to test the number of regime and regime two were selected. Eight models were estimated for the MSI-VAR model. The best model was chosen based on the criterion of least information criterion, Markov-switching intercept heteroscedasticity – Vector Autoregressive model (MSIH(2)-VAR(2)) with AIC (8.596641) and SC (8.973119). The model was used to predict the series' values over a one-year cycle (12 months).","PeriodicalId":251990,"journal":{"name":"African Journal of Mathematics and Statistics Studies","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-08-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114856923","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":"A New Approach on the Response of Non-Uniform Prestressed Timoshenko Beams on Elastic Foundation Subjected to Harmonic Loads","authors":"O. Ogunbamike","doi":"10.52589/ajmss-nzxsum3i","DOIUrl":"https://doi.org/10.52589/ajmss-nzxsum3i","url":null,"abstract":"The dynamic response of the Timoshenko beam resting on an elastic foundation subjected to harmonic moving load using modal analysis (MA) was investigated. The method of MA was employed to obtain a closed form solution to this class of dynamical systems. In order to use MA, accurate information is needed on the natural frequencies, mode shapes and orthogonality of the mode shapes. A thorough literature survey reveals that the method has not been reported in existing literature to solve non-prestressed Timoshenko beams. Thus, we present complete information on how to use MA to derive the forced vibration responses of a simply thick beam subjected to harmonic moving loads. The effects of axial force and foundation parameters on the dynamic characteristics of the beams are studied and described in detail. In order to validate the accuracy of this method, we compare the frequency parameter with the existing literature which appears to compare favorably.","PeriodicalId":251990,"journal":{"name":"African Journal of Mathematics and Statistics Studies","volume":"21 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-07-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133975757","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":"A Study of Properties and Applications of Gamma Distribution","authors":"U. Eric, Oti M.O.O., C. E. Francis","doi":"10.52589/AJMSS-MR0DQ1DG","DOIUrl":"https://doi.org/10.52589/AJMSS-MR0DQ1DG","url":null,"abstract":"The gamma distribution is one of the continuous distributions; the distributions are very versatile and give useful presentations of many physical situations. They are perhaps the most applied statistical distribution in the area of reliability. In this paper, we present the study of properties and applications of gamma distribution to real life situations such as fitting the gamma distribution into data, burn-out time of electrical devices and reliability theory. The study employs the moment generating function approach and the special case of gamma distribution to show that the gamma distribution is a legitimate continuous probability distribution showing its characteristics.","PeriodicalId":251990,"journal":{"name":"African Journal of Mathematics and Statistics Studies","volume":"231 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-07-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131964949","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}
D. O.K., Ernest K.O., Sulemana K., Yusif Z., Zunurain Z., Emmanuel A.
{"title":"Using Abacus and Bundles of Stick to Help Basic Two (2) Pupils to Add Two and Three-Digit Numbers: An Action Research of Ghana National College Basic School, Cape Coast, Central Region, Ghana","authors":"D. O.K., Ernest K.O., Sulemana K., Yusif Z., Zunurain Z., Emmanuel A.","doi":"10.52589/ajmss/m10itahp","DOIUrl":"https://doi.org/10.52589/ajmss/m10itahp","url":null,"abstract":"The purpose of this study was to use Abacus and Bundles of stick as Instructional Materials or Teaching Learning Materials (TLMs) to improve the addition of two- and three-digit numbers among Basic Two (2) Pupils of Ghana National College Basic School, Cape Coast, Central Region, Ghana. Action research design was used for the study. Evaluation Test (Pre-Test and Post-Test) were used to gather data on the pupils. The population was thirty-four (34) and the sample used for the study was fourteen (14) pupils. Pre-Test was used to assess the pupil’s performance to identify their strength and weakness for the necessary interventions to be used to solve that problem. Post-Test was used to gather results and compare the effectiveness of the use of Abacus and Bundles of stick in solving addition of two- and three-digits numbers in mathematics. Simple percentage count was employed by the researcher to display the results and findings. It was found out from the study that, appropriate materials like Bundles of sticks and Abacus should be encouraged and be used in primary schools more especially at the Lower Primary levels (Early Grade levels) to teach for the pupils to overcome their difficulties in solving addition problems involving two- and three-digits numbers.","PeriodicalId":251990,"journal":{"name":"African Journal of Mathematics and Statistics Studies","volume":"22 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-10-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127892950","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}