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首页> 外文期刊>International Journal of Theoretical and Applied Mathematics >On the Tractability of Transmuted Type I Generalized Logistic Distribution with Application
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On the Tractability of Transmuted Type I Generalized Logistic Distribution with Application

机译：Trans变I型广义Logistic分布的可操作性及其应用。

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摘要

Transmutation of baseline distributions has gained popularity in the last decade and many authors have studied the some transmuted distributions such as exponential, Weilbul, gamma, Pareto, normal and many more. This article will focus on the transmutation of type I generalized logistic distribution using quadratic rank transmutation map to develop a transmuted type I generalized logistic distribution. The quadratic rank transmutation map enables the introduction of extra parameter into its parent model to enhance more flexibility in the analysis of data in various disciplines such as biological sciences, actuarial science, finance and insurance. The graphs of the probability density function (pdf) and cumulative distribution function (cdf) of the model for different values of parameters are illustrated respectively. The mathematical properties such as moment generating function, quantile, median and characteristic function of this distribution are discussed. The probability density functions of the minimum and maximum order statistics of the transmuted type I generalized logistic distribution are established and the relationships between the probability density functions of the minimum and maximum order statistics of the parent model and the probability density function of the transmuted type I generalized logistic distribution are considered. The parameter estimation is done by the method of maximum likelihood estimation. The flexibility of the model in statistical data analysis and its applicability is demonstrated by using the model to fit relevant data. The study is concluded by demonstrating the performance of transmuted type I generalized logistic distribution over its parent model.
机译：在过去的十年中，基线分布的gained变得到了普及，许多作者研究了一些trans变的分布，例如指数分布，Weilbul分布，γ分布，帕累托分布，正态分布等等。本文将重点介绍使用二次秩变换图的I型广义Logistic分布的to变，以开发I型广义Logistic分布的trans变。二次秩变换图可将额外参数引入其父模型，以增强生物科学，精算学，金融和保险等各个学科数据分析的灵活性。分别示出了针对不同参数值的模型的概率密度函数（pdf）和累积分布函数（cdf）的图。讨论了该分布的数学特性，例如矩生成函数，分位数，中位数和特征函数。建立了trans变类型I广义Logistic分布的最小和最大阶统计量的概率密度函数，并且父模型的最小和最大阶统计量的概率密度函数与the变类型I的概率密度函数之间的关系考虑广义物流分布。通过最大似然估计的方法来完成参数估计。通过使用模型拟合相关数据，证明了该模型在统计数据分析中的灵活性及其适用性。通过证明trans变的I型广义logistic分布在其父模型上的性能来结束本研究。

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