摘要
应用不可加测度gλ与概率测度之间的联系,证明了不可加测度gλ的Bayes公式。并在关于概率测度积分的基础上,定义了不可加测度的积分,由此证明了关于不可加测度gλ的Radon-Nikodym定理。最后,用测度函数的Lebesgue积分定义了不可加测度的数学期望,并证明了不可加测度的数学期望的若干性质。
In this paper,the relationship between probability measure and
g_λ-measure is used to prove Bayes formula for g_λ-measure.Further,on the basis
of the integral of probability measure,the integral of g_λ-measure is defined and
the Radon-Nikodym theorem for g_λ-measure is proved.Finally,He defines the
mathematical expectation of g_λ-measure using the Lebesgue integral,and some
their properties are Considered.
出处
《辽宁师范大学学报（自然科学版）》
CAS
1991年第1期10-14,共5页
Journal of Liaoning Normal University:Natural Science Edition
关键词
不可加测度
勒贝格积分
数学期望
measure
Lebesgue integral
Radon-Nikodym theorem
absolute continuous
mathematical expectation
Non-additive measure
