Linear Regression Estimation Methods for Inferring Standard Values of Snow Load in Small Sample Situations
المؤلفون المشاركون
المصدر
Mathematical Problems in Engineering
العدد
المجلد 2020، العدد 2020 (31 ديسمبر/كانون الأول 2020)، ص ص. 1-10، 10ص.
الناشر
Hindawi Publishing Corporation
تاريخ النشر
2020-07-27
دولة النشر
مصر
عدد الصفحات
10
التخصصات الرئيسية
الملخص EN
The aim of this paper is to establish a new method for inferring standard values of snow load in small sample situations.
Due to the incomplete meteorological data in some areas, it is often necessary to infer the standard values of snow load in the conditions of small samples in engineering, but the point estimation methods of classical statistics adopted till now do not take into account the influences of statistical uncertainty, and the inference results are always aggressive.
In order to overcome the above shortcomings, according to the basic principle of optimal linear unbiased estimation and invariant estimation of the minimum type I distribution parameters and the tantile, using the least square method, the linear regression estimation methods for inferring standard values of snow load in small sample situations are proposed, which can take into account two cases such as parameter-free and known coefficient of variation, and the predicted formulas of snow load standard values are given, respectively.
Through numerical integration and Monte Carlo numerical simulation, the numerical table of correlation coefficients is established, which is more convenient for the direct application of inferential formulas.
According to the results of theoretical analysis and examples, when using the indirect point estimation methods to infer the standard values of snow load in the conditions of small samples, the inference results are always small.
The linear regression estimation method is suitable for inferring standard values of snow load in the conditions of small samples, which can give more reasonable results.
When using the linear regression estimation to infer standard values of snow load in practical application, even if the coefficient of variation is unknown, it can set the upper limit value of the coefficient of variation according to the experience; meanwhile, according to the parameter-free and known coefficient of variation, the estimation is carried out, respectively, and the smaller value of the two is taken as the final estimate.
The method can be extended to the statistical inference of variable load standard values such as wind load and floor load.
نمط استشهاد جمعية علماء النفس الأمريكية (APA)
Wang, Xudong& Yao, Jitao. 2020. Linear Regression Estimation Methods for Inferring Standard Values of Snow Load in Small Sample Situations. Mathematical Problems in Engineering،Vol. 2020, no. 2020, pp.1-10.
https://search.emarefa.net/detail/BIM-1194645
نمط استشهاد الجمعية الأمريكية للغات الحديثة (MLA)
Wang, Xudong& Yao, Jitao. Linear Regression Estimation Methods for Inferring Standard Values of Snow Load in Small Sample Situations. Mathematical Problems in Engineering No. 2020 (2020), pp.1-10.
https://search.emarefa.net/detail/BIM-1194645
نمط استشهاد الجمعية الطبية الأمريكية (AMA)
Wang, Xudong& Yao, Jitao. Linear Regression Estimation Methods for Inferring Standard Values of Snow Load in Small Sample Situations. Mathematical Problems in Engineering. 2020. Vol. 2020, no. 2020, pp.1-10.
https://search.emarefa.net/detail/BIM-1194645
نوع البيانات
مقالات
لغة النص
الإنجليزية
الملاحظات
Includes bibliographical references
رقم السجل
BIM-1194645
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