对指数族非线性随机效应模型，本文首次利用Q函数进行统计诊断。主要创新性研究成果如下。
Q function have been used to study the statistical diagnostics for the exponential family nonlinear models with random effects.
由于准则方程的高次非线性和复杂性，文中利用复合函数求导法则，直接针对基本随机变量求解。
Because of the complexity and high order nonlinear property of the criterion, a derivative method for compound function is used to get reliability.
另一类变量与向量函数呈非线性关系。 对于后一类变量，用弃舍随机方法先给出位置初值，然后将问题化为线性最小二乘问题，直接解超定方程组。
The overdetermined equations can be solved directly by using the rejection method to give the initial value of the position first and then converting the problem into a linear—square one.
而该系统中的非线性元件和非线性函数项有一个特殊性质，即跳跃随机性。
But the nonlinear element and nonlinear function of such systems have are a special property, namely the jump stochasticity property.
同时发现动力学系统中的非线性函数项（或非线性元件）能够发生跳跃随机性和产生跳跃随机曲线，以使电路的状态轨迹达到与约束方程相容的状态。
The analysis also shows that the nonlinear terms in the dynamic system equations cause the stochastic state to jump so that the circuit state can reach compatibility with the constraint equations.
跳跃随机性是确定的非线性函数项和确定的非线性元件所特有的内随机源。
The jump stochasticity property is due to an intrinsic stochasticity source which belongs to both deterministic nonlinear element and nonlinear function.
跳跃随机性是确定的非线性函数项和确定的非线性元件所特有的内随机源。
The jump stochasticity property is due to an intrinsic stochasticity source which belongs to both deterministic nonlinear element and nonlinear function.
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