In this paper, we introduce a class of Lindley and Weibull distributions (LW) that are useful for modeling lifetime data with a comprehensive mathematical treatment. The new class of generated distributions includes s...In this paper, we introduce a class of Lindley and Weibull distributions (LW) that are useful for modeling lifetime data with a comprehensive mathematical treatment. The new class of generated distributions includes some well-known distributions, such as exponential, gamma, Weibull, Lindley, inverse gamma, inverse Weibull, inverse Lindley, and others. We provide closed-form expressions for the density, cumulative distribution, survival function, hazard rate function, moments, moments generating function, quantile, and stochastic orderings. Moreover, we discuss maximum likelihood estimation and the algorithm for computing the parameters estimates. Some sub models are discussed as an illustration with real data sets to show the flexibility of this class.展开更多
In this study, an analysis of the wind energy potential in the southwest geo-political region of Nigeria was conducted. A 37-year （1971-2007） wind speed data set measured at 10m height, obtained from eight meteorolo...In this study, an analysis of the wind energy potential in the southwest geo-political region of Nigeria was conducted. A 37-year （1971-2007） wind speed data set measured at 10m height, obtained from eight meteorological stations within the region was analyzed using a 2-parameter Weibull function. Besides, a techno- economic evaluation of large wind energy conversion systems with power ratings ranging from 0.6 to 2 MW at different hub heights based on the levelized unit cost of electricity was made for the different sites considered. The result showed that electricity cost varied from 0.06997 and 0.11195 S/（kW. h） to 2.86611 and 4.585785/（kW-h） at limit values of turbine specific cost band intervals of 1000 and 1600 S/kW. It was further shown that Lagos, having the highest accumulated power outputs of 430.10kW/a from DeWind D7 at 70 m hub height, is the most preferred for economically usable power generation in terms of the levelized unit cost.展开更多
文摘In this paper, we introduce a class of Lindley and Weibull distributions (LW) that are useful for modeling lifetime data with a comprehensive mathematical treatment. The new class of generated distributions includes some well-known distributions, such as exponential, gamma, Weibull, Lindley, inverse gamma, inverse Weibull, inverse Lindley, and others. We provide closed-form expressions for the density, cumulative distribution, survival function, hazard rate function, moments, moments generating function, quantile, and stochastic orderings. Moreover, we discuss maximum likelihood estimation and the algorithm for computing the parameters estimates. Some sub models are discussed as an illustration with real data sets to show the flexibility of this class.
文摘In this study, an analysis of the wind energy potential in the southwest geo-political region of Nigeria was conducted. A 37-year （1971-2007） wind speed data set measured at 10m height, obtained from eight meteorological stations within the region was analyzed using a 2-parameter Weibull function. Besides, a techno- economic evaluation of large wind energy conversion systems with power ratings ranging from 0.6 to 2 MW at different hub heights based on the levelized unit cost of electricity was made for the different sites considered. The result showed that electricity cost varied from 0.06997 and 0.11195 S/（kW. h） to 2.86611 and 4.585785/（kW-h） at limit values of turbine specific cost band intervals of 1000 and 1600 S/kW. It was further shown that Lagos, having the highest accumulated power outputs of 430.10kW/a from DeWind D7 at 70 m hub height, is the most preferred for economically usable power generation in terms of the levelized unit cost.
