一种新的广义Log-Logistic-Erlang截断指数分布及其应用

IF 0.6 Q4 STATISTICS & PROBABILITY

Electronic Journal of Applied Statistical Analysis Pub Date : 2020-10-14 DOI:10.1285/I20705948V13N2P293

B. Oluyede, H. Jimoh, D. Wanduku, B. Makubate

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引用次数: 1

摘要

我们通过Marshall-Olkin生成器引入了一种新的分布，称为Marshall-Olkin-Log-listic-Erlang截断指数（MOLLoGETE）分布。给出了分布的一些结构性质，包括密度函数的级数展开、子模型、危险函数、矩、条件矩、平均偏差、阶统计量的分布、R´enyi熵和最大似然估计。新的密度函数是Burr XII Erlang截断指数分布的无限线性组合。将新的泛化方法应用于实际数据集，以评估模型的性能。

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A New Generalized Log-Logistic Erlang Truncated Exponential Distribution with Applications

We introduce a new distribution via the Marshall-Olkin generator called the Marshall-Olkin Log-logistic Erlang-Truncated Exponential (MOLLoGETE) distribution. Some structural properties of the distribution including series expansion of the density function, sub-models, hazard function, moments, conditional moments, mean deviations, distribution of order statistics, R´enyi entropy and maximum likelihood estimates are presented. The new density function is an infinite linear combinations of Burr XII-Erlang-Truncated Exponential distributions. The new generalization is applied to real data sets to evaluate the model performance.

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来源期刊

Electronic Journal of Applied Statistical Analysis STATISTICS & PROBABILITY-

CiteScore

1.40

自引率

14.30%

发文量