一种新的概率分布:性质、copula及其在医学和工程中的应用

IF 1.1 Q3 STATISTICS & PROBABILITY Pakistan Journal of Statistics and Operation Research Pub Date : 2023-06-02 DOI:10.18187/pjsor.v19i2.3633
Mohamed K. A. Refaie, Nadeem Shafique Butt, Emadeldin I. A. Ali
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引用次数: 0

摘要

在这项工作中,我们构造了一个灵活的三参数Chen修正。“J形”、“单调递增”、“U形”和“倒置(倒置浴缸)”的危险率形式都得到了新陈扩展的危险率的支持。我们得出了相关的统计特征。生成了一些双变量类型的分布。为了评估模型参数,我们考虑了最大似然估计方法。最大似然估计量通过图形模拟进行评估。为了证明新方法的适用性,考虑并审查了两个真实的数据集。使用Akaike Information准则、Bayesian Information准则、Cramer von Mises准则、Anderson Darling准则、Kolmogorov Smirnov检验及其相关p值来评估新模型和各种流行的竞争模型。
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A new probability distribution: properties, copulas and applications in medicine and engineering
In this work, we construct a three-parameter Chen modification that is flexible. The "J shape", "monotonically increasing", "U shape," and "upside down (reversed bathtub)" hazard rate forms are all supported by the new Chen extension's hazard rate. We derive pertinent statistical features. A few distributions of the bivariate kind are generated. For evaluating the model parameters, we took the maximum likelihood estimation approach into consideration. Maximal likelihood estimators are evaluated via graphical simulations. To demonstrate the applicability of the new approach, two genuine data sets are taken into consideration and examined. The Akaike Information criterion, Bayesian Information criterion, Cramer-von Mises criterion, Anderson-Darling criterion, Kolmogorov-Smirnov test, and its related p-value are used to evaluate the new model with a variety of popular competing models.
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来源期刊
CiteScore
3.30
自引率
26.70%
发文量
53
期刊介绍: Pakistan Journal of Statistics and Operation Research. PJSOR is a peer-reviewed journal, published four times a year. PJSOR publishes refereed research articles and studies that describe the latest research and developments in the area of statistics, operation research and actuarial statistics.
期刊最新文献
Characterizations of the Recently Introduced Discrete Distributions A New Family of Heavy-Tailed Generalized Topp-Leone-G Distributions with Application A new class of probability distributions with an application in engineering science Approximations to the Moments of Order Statistics for Normal Distribution Approximation Methods for the Bivariate Compound Truncated Poisson Gamma Distribution
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