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引用次数: 0
摘要
本文提出了用于分析比例数据的单位伽利玛(UGa)分布。文章研究了 UGa 分布的一些统计性质,包括生存和危险函数、阶次统计、量化函数和应力强度可靠性度量。接下来,研究了一个新的连续分布族,称为单位伽利玛生成(UGa-G)分布族。UGa-G 分布族的特点是使用 UGa 分布作为主生成器,并具有 T-X 分布族的概念。还提供了一些 UGa-G 族子模型,如 UGa-Beta、UGa-Weibull 和 UGa-normal 分布。使用最大似然法估计统计方面的模型参数。蒙特卡罗模拟提供了拟议分布各参数的百分位数引导置信区间。还给出了八个实际数据集的应用,以证明所建议的分布的实用性。
A generating family of unit-Garima distribution: Properties, likelihood inference, and application
This article proposes the unit Garima (UGa) distribution for analysing proportion data. Some statistical properties of the UGa distribution are investigated, including survival and hazard functions, order statistics, quantile function, and stress-strength reliability measure. Next, a new family of continuous distributions, called the unit Garima-generated (UGa-G) family of distributions, is studied. The UGa-G family of distributions has the feature to use the UGa distribution as the main generator and the concept of the T-X family of distributions. Some UGa-G family sub-models are provided, such as the UGa-Beta, UGa-Weibull, and UGa-normal distributions. The maximum likelihood method is used to estimate the model parameters for the statistical aspect. A Monte Carlo simulation for the percentile bootstrap confidence intervals for each parameter of the proposed distributions is provided. Applications to eight practical data sets are given to demonstrate the usefulness of the proposed distributions.
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.