HLMOL-X族分布在时间序列、验收抽样和应力-强度参数中的应用

IF 0.6 Q4 STATISTICS & PROBABILITY

Austrian Journal of Statistics Pub Date : 2022-01-25 DOI:10.17713/ajs.v51i2.1253

Lishamol Tomy, Meenu Jose

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引用次数: 1

摘要

本文研究了半物流-马歇尔Olkin X族分布的应用，重点研究了半物流-马歇尔Olkin X族分布的应用。具体研究方向为时间序列建模、验收取样方案和应力强度分析。介绍了不同的一阶自回归最小化结构。考虑到产品的寿命遵循半物流-马歇尔Olkin Lomax分布，详细的验收抽样计划。推导并估计了半logistic-Marshall - Olkin - Lomax分布的应力-强度可靠度。对应力-强度可靠性最大似然估计的偏差、均方误差、平均置信长度和覆盖概率进行了仿真研究。最后给出了一个实际数据分析。

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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Applications of HLMOL-X Family of Distributions to Time Series, Acceptance Sampling and Stress-strength Parameter

In this paper, the applications of the half logistic-Marshall Olkin X family of distributions are investigated with special emphasis to the half logistic-Marshall Olkin Lomax distribution. The specific areas we concentrated are time series modeling, acceptance sampling plan and stress-strength analysis. Different autoregressive minification structures of order one are introduced. The acceptance sampling plan is detailed by considering life time of products following the half logistic-Marshall Olkin Lomax distribution. The stress-strength reliability of the half logistic-Marshall Olkin Lomax distribution is derived and estimated. A simulation study is carried out to examine the bias, mean square error, average confidence length and coverage probability of the maximum likelihood estimator of thestress-strength reliability. Finally a real-life data analysis has also been presented.

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来源期刊

Austrian Journal of Statistics STATISTICS & PROBABILITY-

CiteScore

1.10

自引率

0.00%

发文量

审稿时长

24 weeks

期刊介绍： The Austrian Journal of Statistics is an open-access journal (without any fees) with a long history and is published approximately quarterly by the Austrian Statistical Society. Its general objective is to promote and extend the use of statistical methods in all kind of theoretical and applied disciplines. The Austrian Journal of Statistics is indexed in many data bases, such as Scopus (by Elsevier), Web of Science - ESCI by Clarivate Analytics (formely Thompson & Reuters), DOAJ, Scimago, and many more. The current estimated impact factor (via Publish or Perish) is 0.775, see HERE, or even more indices HERE. Austrian Journal of Statistics ISNN number is 1026597X Original papers and review articles in English will be published in the Austrian Journal of Statistics if judged consistently with these general aims. All papers will be refereed. Special topics sections will appear from time to time. Each section will have as a theme a specialized area of statistical application, theory, or methodology. Technical notes or problems for considerations under Shorter Communications are also invited. A special section is reserved for book reviews.