A quasi Rama distribution

Q4 Mathematics

Model Assisted Statistics and Applications Pub Date : 2023-09-28 DOI:10.3233/mas-221417

Rama Shanker, Hrittika Das, Kamlesh Kumar Shukla

引用次数: 0

Abstract

A two-parameter quasi Rama distribution which contains the Rama distribution as particular case has been proposed. Its statistical properties based on moments have been discussed. The hazard rate function, mean residual life function, mean deviations and stochastic ordering of the distribution have been derived and studied. The estimation of parameters using method of moments and maximum likelihood methods has been discussed. A simulation study has been presented to know the performance of maximum likelihood estimates. The goodness of fit of the proposed distribution on two datasets relating to failure times has been presented.

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一个拟拉玛分布

提出了一种包含特殊情况下的Rama分布的双参数拟Rama分布。讨论了其基于矩的统计性质。推导并研究了风险率函数、平均剩余寿命函数、平均偏差和分布的随机排序。讨论了矩量法和极大似然法的参数估计。通过仿真研究，了解了极大似然估计的性能。给出了该分布在两个与失效次数有关的数据集上的拟合优度。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Model Assisted Statistics and Applications Mathematics-Applied Mathematics

CiteScore

1.00

自引率

0.00%

发文量

期刊介绍： Model Assisted Statistics and Applications is a peer reviewed international journal. Model Assisted Statistics means an improvement of inference and analysis by use of correlated information, or an underlying theoretical or design model. This might be the design, adjustment, estimation, or analytical phase of statistical project. This information may be survey generated or coming from an independent source. Original papers in the field of sampling theory, econometrics, time-series, design of experiments, and multivariate analysis will be preferred. Papers of both applied and theoretical topics are acceptable.