具有统计特性和应用的新广义奇数弗雷谢-奥德指数分布-g族

Ibrahim Abubakar Sadiq, S. I. S. Doguwa, Abubakar Yahaya, Jamilu Garba
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引用次数: 0

摘要

利用 Alzaatreh 原理开发了一种新的终身连续概率分布,称为新的广义奇数弗雷谢特-奇数-指数-G 分布族。所开发的分布可灵活用于研究现实生活中的正数据集。研究还获得了与该族相关的统计特性。利用最大似然法估算了该族的参数。引入了新广义奇数弗雷谢特-奇数-指数-威布尔模型。该分布与一组寿命数据进行了拟合。蒙特卡罗模拟的结果表明,在估计新广义奇数弗雷谢特-奇数-指数-威布尔分布和新广义奇数弗雷谢特-奇数-指数-雷利分布的参数时,M.L.E 方法比 M.PS 方法是最好的技术。在数据集上的应用结果比一些竞争分布具有更高的灵活性。这些分布可作为文献中其他正数据建模分布的可行替代方案。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
NEW GENERALIZED ODD FRÉCHET-ODD EXPONENTIAL-G FAMILY OF DISTRIBUTION WITH STATISTICAL PROPERTIES AND APPLICATIONS
A new lifetime continuous probability distribution called the new Generalized Odd Fréchet-Odd-Exponential-G Family of Distribution is developed using the principle of Alzaatreh. The developed distribution is flexible for studying positive real-life datasets. The statistical properties related to this family are obtained. The parameters of the family were estimated by using a technique of maximum likelihood. A NewGeneralized Odd Fréchet-Odd-Exponential-Weibull model is introduced. This distribution was fitted with a set of lifetime data. A Monte Carlo simulation is applied to test the consistency of the estimated parameters of this distribution in terms of their bias and mean squared error with a comparison of M.L.E and the maximum product spacing (MPS).The outcome of the Monte Carlo simulation shows that the M.L.E method is the best technique for estimating the parameter of the New Generalized Odd Frechet-Odd-Exponential-Weibull distribution and the New Generalized Odd Frechet-Odd-Exponential-Rayleigh distribution than the M.PS method. The outcomes of the application on the data set produce a higher flexibility than some of the competing distributions. The distributions serve as a viable alternative to other distributions available in the literature for modelling positive data.
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