指数分布的泛逻辑自相关性

Universal logic self-correlation of exponential distributing

指数分布是复杂控制系统中随机参数的一种常见分布。给出了广义区间,上的相关概念,研究了指数分布的泛逻辑自相关性,给出了指数分布对应的N范数、N性生成元,讨论了N范数不动点及广义自相关系数与指数分布参数之间的关系。当>0时,发现了广义自相关系数的恒负性。设参数在,+均有意义,发现了是的中心对称奇函数,即的中心对称性,以及不动点的守1性。最后举例说明了求解值的具体方法,为从泛逻辑角度来分析复杂系统中的控制参数提供了一种新的思路。

Exponential distributing is a familiar distributing of random parameters in complicated control system. The relational conceptions on generalized interval[a,b] is given, the universal logic self-correlation of exponential distributing is studied, the corresponding N-norm, N-generator is given, the relationships among N-norm＇s fixed point, generalized self-correlation coefficient, and parameter Ois discussed. When θ〉0, the value of generalized self-correlation coefficient k is negative, supposing parameter θ is significative on interval （-∞,＋∞）, that κ（θ） is a center symmetrical odd function is found, that is the center symmetrical property, and find the fixedpoint ls conservation of＂1＂. At last, the concrete method of calculating the value ofk is illuminated with an example. The work offers a new idea of analyzing the control parameters of complicated system from the viewpoint of universal logic.