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优势指数-帕累托IV分布:回归模型与应用

The Odds Exponential-Pareto IV Distribution: Regression Model and Application.

作者信息

Baharith Lamya A, Al-Beladi Kholod M, Klakattawi Hadeel S

机构信息

Department of Statistics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia.

Department of Statistics, Faculty Science, University of Jeddah, Jeddah 21959, Saudi Arabia.

出版信息

Entropy (Basel). 2020 Apr 25;22(5):497. doi: 10.3390/e22050497.

Abstract

This article introduces the odds exponential-Pareto IV distribution, which belongs to the odds family of distributions. We studied the statistical properties of this new distribution. The odds exponential-Pareto IV distribution provided decreasing, increasing, and upside-down hazard functions. We employed the maximum likelihood method to estimate the distribution parameters. The estimators performance was assessed by conducting simulation studies. A new log location-scale regression model based on the odds exponential-Pareto IV distribution was also introduced. Parameter estimates of the proposed model were obtained using both maximum likelihood and jackknife methods for right-censored data. Real data sets were analyzed under the odds exponential-Pareto IV distribution and log odds exponential-Pareto IV regression model to show their flexibility and potentiality.

摘要

本文介绍了属于分布比值族的比值指数 - 帕累托IV分布。我们研究了这种新分布的统计特性。比值指数 - 帕累托IV分布具有递减、递增和倒转的风险函数。我们采用最大似然法估计分布参数。通过进行模拟研究来评估估计量的性能。还引入了一种基于比值指数 - 帕累托IV分布的新的对数位置 - 尺度回归模型。对于右删失数据,使用最大似然法和刀切法获得了所提出模型的参数估计值。在比值指数 - 帕累托IV分布和对数比值指数 - 帕累托IV回归模型下对实际数据集进行了分析,以展示它们的灵活性和潜力。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/19ca/7516982/d1c99494afab/entropy-22-00497-g001.jpg

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