COMPLEMENTARY GENERALIZED TRANSMUTED POISSON LOMAX DISTRIBUTION WITH ITS DERIVED PROPERTIES AND APPLICATION

There has been a renewed interest in developing more flexible statistical distributions in recent decades. A major milestone in the methods for generating statistical distributions is undoubtedly the system of differential equation approach. There is a recent renewed interest in generating skewed distributions. In this research, a new four parameter lifetime distribution which extends the Lomax distribution is introduced by compounding the Lomax distribution with the complementary generalized transmuted Poisson family of distributions. The probability density function and cumulative distribution function as well as some basic statistical properties of the new distribution, such as moments, reliability function, hazard function, quantile function, residual life function, entropy and the order statistics were derived. Some plots of the distribution shows that it is a positively skewed distribution. The maximum likelihood estimation method is used to estimate the parameters of the new distribution. A simulation study to assess the performance of the parameters of the newly developed distribution was provided with an application to real life data to assess its potentiality. The result shows that the proposed distribution provides better fit than some generalizations of the Lomax . Keywords: Lifetime distribution, maximum likelihood estimation, Lomax distribution, hazard    function, order statistics

World Capitalist System and Globalization: Reconsiderations for Achieving Sustainable Development in Nigeria

Capitalism with its accompanied liberal ideology has been very successful in expanding its tentacles to and overthrowing other social and economic systems in several parts of the world. The resulting consequence of this historical process is that of globalization which is characterized by increasing homogeneity and interdependence of the various countries of the world on one another.  While globalization has been recurrent and become a focus for scholarly discourse, Nigeria right from the time of her independence has remained at a disadvantage position in terms of economic, political, technological and cultural development. Historical events showed that the “supposed giant of Africa” as a peripheral country, has been dancing to the music of the more developed nations, thus experiencing disguised dependency even as an independent republic. However, if the country is serious about achieving its sustainable development goals, it must learn to dictate its own tune and look inwards for the restructuration of its social, economic and political systems in line with her area of strength, as well as addressing her weaknesses. Thus, this paper attempts to describe the current world capitalist system in the light of World-Systems Theory, discuss globalization and then examine key areas Nigeria must look into for the emancipation of its people from the shackles of underdevelopment and dependency. In conclusion, it is recommended that true Federalism and Nationalism should be the watchword and practice of both political leaders and Nigerian citizens in order to achieve grassroots development and national progress. Keywords: World Capitalist System, Globalization, Sustainable Development, Federalism, Nationalis

Time series model building with Fourier autoregressive model

This paper presents time series model building using Fourier autoregressive models. This model is capable of modelling and forecasting time series data that exhibit periodic and seasonal movements. From the implementation of the model, FAR(1), FAR(2) and FAR(3) models were chosen based on the periodic autocorrelation function (PeACF) and periodic partial autocorrelation function. The coefficients of the tentative modelwere estimated using a discrete Fourier transform estimation method. The FAR(1) model was chosen as the optimal model based on the smallest value of periodic Akaike and Bayesian information criteria, and the residuals of the fitted models were diagnosed to be white noise using the periodic residual autocorrelation function. The out-sample forecasts were obtained for the Nigerian monthly rainfall series from January 2018 to December 2019 using the FAR(1) and SARIMA(1,1,1)x(1,1,1)₁₂ models. The results exhibited a continuous periodic and seasonal movement but the periodic movement in the forecasted rainfall series was better with FAR(1) because its values showed a close reflection of the original series. The values of the forecast evaluation for both models showed that the forecast was consistent and accurate but the FAR(1) model forecast was more accurate since its forecast evaluation values were relatively lower. Hence, the Fourier autoregressive model is adequate and suitable for modelling and forecasting periodicity and seasonality in Nigerian rainfall time series data and any part of the world with rainfall series that are mostly characterised with periodic variation

Ethnobotanical and in vitro cytotoxicity studies of Moringa oleifera, Andrographis paniculata and Asystasia vogeliana extracts

Ethnobotanical and in vitro cytotoxicity studies were carried out on three different multi- purpose medicinal plants; Moringa oleifera (Lam) (Moringaceae), Andrographis paniculata (Burm. f) and Asystasia vogeliana (Benth) (Acanthaceae). The ethnobotanical information was collected by one to one interview and discussions using semi-structured questionnaires with indigenous people from selected locations in Nigeria. Plant samples collected were identified and authenticated in Forestry Research Institute of Nigeria (FRIN), Ibadan, Oyo State. Each of these three plant samples was extracted in 95% ethanol using a soxhlet extraction apparatus and concentrated to dryness at 45 °C. M. oleifera showed the highest incidence of occurrence (17.5%), fidelity level (74.9%) and multi-purpose usage. The ethnobotanical study revealed the medicinal relevance of the three plants in the treatment of myriads of diseases and ailments including malaria, fever, high blood pressure, cancer, diabetes among others in local herbal medicine. The in vitro cytotoxicity activities of ethanol extracts of the three plant species were screened in two cancer cell lines (BGC-823 and HeLa cells) using the sulphorhodamine B (SRB) assay. Cytotoxicity assay on the two cell lines BGC-823 and HeLa cells revealed that only the ethanolic extract of A. paniculata exhibited some level (moderate) cytotoxicity activity with IC50 values of 24.7 and 23.1 μg/ml respectively. M. oleifera and A. vogeliana did not show any significant activity on the cell lines. The study highlights the importance of ethnobotanical information in finding cost effective, potent and safe herbs for people and screening of the plant species for their activities against cancer cell lines. Further studies on the isolation and characterization of bioactive compounds responsible for cytotoxic effects of A. paniculata is recommended

PREDICTING PETROLEUM CONSUMPTION USING TRIGONOMETRIC REGRESSION MODEL

This study is used to model and forecast Nigerian motor gasoline consumption using the Trigonometric Regression model which has the capabilities of handling nonlinear time series. The time plot of Nigerian motor gasoline consumption showed the series is nonlinear. The Trigonometric regression model was estimated using the Ordinary Least Square method. From the result, the coefficients of the model influenced Nigerian motor gasoline consumption and a unit increase may lead to an increase or decrease. The values of coefficient of determination (R^2) revealed that the coefficients of the model explained the variations in Nigerian motor gasoline consumption up to 83%. The value of the adjusted coefficient of determination (R ̅^2 ) also revealed that the model is a good fit and has high predictive power. Therefore, the Nigerian motor gasoline consumption forecast from 1980 to 2038 indicated continuous fluctuations from year to year. The shape of the out-sample forecast from 2019 to 2038 exhibited a bell shape. Conclusively, based on the results obtained, the proposed model can be used to obtain future values for Nigerian motor gasoline consumption. This will enhance the Government and shareholders to put in place proper plans and logistics to curtail the challenges that may arise from Nigerian motor gasoline consumption and distribution presently and in the future

Elucidation of Bioactive Compounds in Methanol Extract of Mitracarpus Vilosus Leaf using GC-MS analysis

Mitracarpus vilosus is widely used among the indegenes of Ibeju-Lekki area of Lagos State for the treatment of skin lesions. This study elucidated the phytochemical constituents in 80% methanolic leaf extract of Mitracarpus vilosus. Phytochemical screening and gas chromatography-mass spectrometry (GC-MS) analyses were carried out on the leaf extract. The qualitative analyses showed the presence of the following phytochemicals, tannins, terpenoids, saponins, cardiac glycosides and steroids. The phytochemical screen did not reveal any flavonoids. However, Squalene 14.27%, n-Hexadecanoic acid 11.60%, 2-Octylcyclopropene-1-heptanol 8.43%, Octadecanoic acid 5.45%, 1,4-Naphthalenedione 3.19% were the first five major bioactive compounds revealed by GC-MS in the leaf extract. The results of this study validated the bioactive constituents in Mitracarpus vilosus which may be the justification for its use for the treatment of skin lesions and other ailments. DOI: 10.7176/JBAH/12-14-04 Publication date:July 31st 202

Effect of Common Salt on the Engineering Properties of Expansive Soil

This paper investigated the effect of common salt on some geotechnical properties of expansive soil for highway pavement (subgrade) works. In this study, engineering properties including; Natural water content, Atterberg limits, specific gravity, compaction, free swell index, unconfined compressive strength, soaked and unsoaked California bearing ratio were determined in the laboratory and their behavior on stabilizing with various percentages of sodium chloride (0, 0.5, 1.0, 1.5. 2.0 and 2.5) investigated. From the study, plastic limit, liquid limit, plasticity index, linear shrinkage, specific gravity, free swell index and optimum water content values of the stabilized soil reduced, while the maximum dry density, California bearing ratio and unconfined compressive strength values increased. The highest reduction percentages of 60.42 % (131 to 51.85 %), 42.86 % (50.00 to 28.57 %), 71.26 % (81.00 to 23.28 %), 66.64 % (15.11 to 5.04 %), 83.43 % (115.00 to 19.05 %), and 28.57 % (28.00 to 20.00 %) in liquid limit, plastic limit, plasticity index, linear shrinkage, free swell index and optimum water content respectively; and maximum percentage increase of 11.38 % (1.67 to 1.86 g/m3 ,on maximum dry density), 31.78 % (29.20 to 38.48 %, on unsoaked CBR), 257.67 % (4.3 to 15.38 %, on soaked CBR), and 26.98 % ( 67.86 to 86.17 kN/m2 on unconfined compressive strength) were obtained on treatment of the soil with 1.5 % common salt by weight. Treatment of the soil with common salt has thus reduced its swelling potential and increased the strength

Effect of Chemically Modified Banana Fibers on the Mechanical Properties of Poly-Dimethyl-Siloxane-Based Composites

The study presents the mechanical properties of polymer-based composites reinforced with chemically modified banana fibers, by alkalization in different concentrations of sodium hydroxide (NaOH). The fiber weight fraction has a great effect on the mechanical properties of the composites. Stiff composites were obtained at 6 wt% fiber fractions with Young’s modulus of 254.00 ±12.70 MPa. Moreover, the yield strength was 35.70 ±1.79 MPa at 6 wt% fiber fractions. However, the ultimate tensile strength (UTS) and toughness of the composites were obtained at 5 wt% fiber fractions. Statistical analyses were used to ascertain the significant different on the mechanical properties of the fibers and composites. The implication of the results is then discussed for potential applications of PDMS-based composites reinforced with chemically modified banana fibers