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基于不定性的指数化半对数分布的癌症患者重复抽样检验方案。

Repetitive sampling inspection plan for cancer patients using exponentiated half-logistic distribution under indeterminacy.

机构信息

Department of Mathematics and Statistics, The University of Dodoma, P.O. Box: 259, Dodoma, Tanzania.

出版信息

Sci Rep. 2023 Aug 23;13(1):13743. doi: 10.1038/s41598-023-40445-6.

Abstract

This piece of work deals with a time truncated sampling scheme for cancer patients using exponentiated half-logistic distribution (EHLD) based on indeterminacy. We have studied time truncated schemes like repetitive acceptance sampling plan (RASP) under indeterminacy. We have estimated the projected scheme parameters such as sample size and acceptance and rejection sample numbers for known indeterminacy parameters. In addition to the projected sampling scheme quantities, the corresponding tables are generated for various values of indeterminacy parameters. The results of a sampling scheme show that the average sample number (ASN) decreases as indeterminacy values increase. It leads that the indeterminacy parameter is played a crucial portrayal in ASN. A comparative study is carried out with existing sampling schemes based on indeterminacy and classical sampling schemes. The evaluated sampling schemes are exemplified with the help of cancer data. From tables and exemplification, we wind up that the projected RSP scheme under indeterminacy desired a smaller sample size than the existing schemes.

摘要

这项工作涉及基于不确定性的癌症患者指数半对数分布(EHLD)的时间截断抽样方案。我们已经研究了不确定性下的时间截断方案,如重复性接受抽样计划(RASP)。我们已经估计了已知不确定性参数的预测方案参数,例如样本量和接受和拒绝样本数量。除了预测的抽样方案数量外,还为不确定性参数的各种值生成了相应的表格。抽样方案的结果表明,平均样本数量(ASN)随着不确定性值的增加而减少。这表明不确定性参数在 ASN 中起着至关重要的作用。基于不确定性和经典抽样方案进行了比较研究。通过癌症数据的帮助,评估了抽样方案。从表格和实例中,我们发现不确定性下的预测 RSP 方案所需的样本量小于现有方案。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/eedc/10447570/d8a2f3deb7c1/41598_2023_40445_Fig1_HTML.jpg

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