Independence of the Residual Quadratic Sums in the Dispersion Equation with Noncentral χ²-Distribution  

作　　者：Nikolay I. Sidnyaev Kristina S. Andreytseva 

机构地区：[1]不详

出　　处：《Applied Mathematics》2011年第10期1303-1308,共6页应用数学（英文）

摘　　要：A model adequacy test should be carried out on the basis of accurate aprioristic ideas about a class of adequate models, as in solving of practical problems this class is final. In article, the quadratic sums entering into the equation of the dispersive analysis are considered and their independence is proved. Necessary and sufficient conditions of existence of adequate models are resulted. It is shown that the class of adequate models is infinite.A model adequacy test should be carried out on the basis of accurate aprioristic ideas about a class of adequate models, as in solving of practical problems this class is final. In article, the quadratic sums entering into the equation of the dispersive analysis are considered and their independence is proved. Necessary and sufficient conditions of existence of adequate models are resulted. It is shown that the class of adequate models is infinite.

关 键 词：Noncentral χ2--Distribution Dispersion Analysis ADEQUATE Models QUADRATIC SUMS 

分 类 号：O1[理学—数学]