Development of Hartigan’s Dip Statistic with Bimodality Coefficient to Assess Multimodality of Distributions
المؤلفون المشاركون
المصدر
Mathematical Problems in Engineering
العدد
المجلد 2019، العدد 2019 (31 ديسمبر/كانون الأول 2019)، ص ص. 1-17، 17ص.
الناشر
Hindawi Publishing Corporation
تاريخ النشر
2019-12-28
دولة النشر
مصر
عدد الصفحات
17
التخصصات الرئيسية
الملخص EN
In general, although some random variables such as wind speed, temperature, and load are known to have multimodal distributions, input or output random variables are considered to follow unimodal distributions without assessing the unimodality or multimodality of distributions from samples.
In uncertainty analysis, estimating unimodal distribution as multimodal distribution or vice versa can lead to erroneous analysis results.
Thus, whether a distribution is unimodal or multimodal must be assessed before the estimation of distributions.
In this paper, the bimodality coefficient (BC) and Hartigan’s dip statistic (HDS), which are representative methods for assessing multimodality, are introduced and compared.
Then, a combined HDS with BC method is proposed.
The proposed method has the advantages of both BC and HDS by using the skewness and kurtosis of samples as well as the dip statistic through a link function between the BC values in BC and significance level in HDS.
To verify the performance of the proposed method, statistical simulation tests were conducted to evaluate the multimodality for various unimodal, bimodal, and trimodal models.
The implementation of the proposed method to real engineering data is shown through case studies.
The results demonstrate that the proposed method is more accurate, robust, and reliable than the BC and original HDS alone.
نمط استشهاد جمعية علماء النفس الأمريكية (APA)
Kang, Young-Jin& Noh, Yoojeong. 2019. Development of Hartigan’s Dip Statistic with Bimodality Coefficient to Assess Multimodality of Distributions. Mathematical Problems in Engineering،Vol. 2019, no. 2019, pp.1-17.
https://search.emarefa.net/detail/BIM-1195769
نمط استشهاد الجمعية الأمريكية للغات الحديثة (MLA)
Kang, Young-Jin& Noh, Yoojeong. Development of Hartigan’s Dip Statistic with Bimodality Coefficient to Assess Multimodality of Distributions. Mathematical Problems in Engineering No. 2019 (2019), pp.1-17.
https://search.emarefa.net/detail/BIM-1195769
نمط استشهاد الجمعية الطبية الأمريكية (AMA)
Kang, Young-Jin& Noh, Yoojeong. Development of Hartigan’s Dip Statistic with Bimodality Coefficient to Assess Multimodality of Distributions. Mathematical Problems in Engineering. 2019. Vol. 2019, no. 2019, pp.1-17.
https://search.emarefa.net/detail/BIM-1195769
نوع البيانات
مقالات
لغة النص
الإنجليزية
الملاحظات
Includes bibliographical references
رقم السجل
BIM-1195769
قاعدة معامل التأثير والاستشهادات المرجعية العربي "ارسيف Arcif"
أضخم قاعدة بيانات عربية للاستشهادات المرجعية للمجلات العلمية المحكمة الصادرة في العالم العربي
تقوم هذه الخدمة بالتحقق من التشابه أو الانتحال في الأبحاث والمقالات العلمية والأطروحات الجامعية والكتب والأبحاث باللغة العربية، وتحديد درجة التشابه أو أصالة الأعمال البحثية وحماية ملكيتها الفكرية. تعرف اكثر