随机单调性 meaning in English

stochastic monotonicity

The necessary and sufficient conditions of uniqueness , recurrent , ergodicity , exponential ergodicity , strong ergodicity , stochastically monotone , feller and symmetric properties - in - for the processes are presented . chapter 3 is devoted to studying an extended birth - death q - matrix with catastrophes and instantaneous state . we are able to give easy - checking existence criteria for such processes
第二章讨论具有突变率的广义生灭全稳定q -矩阵，圆满地获得了q -矩阵零流出、零流入以及q过程的唯一性、常返性、遍历性、指数遍历性、强遍历性、随机单调性、 feller性、配称性等充分必要条件。
Chapter 5 is contributed to studying convergence rate of standard transition function and relation of all kinds of convergence rates . by revealing the close link among strong ergodicity , stochastically monotone , and the feller transition functions we are able to prove that a monotone ergodic transition function is strongly ergodic if and only if it is not a feller transition function
第五章讨论标准转移函数的收敛速度以及各种收敛速度之间的关系，通过找出强遍历、随机单调性和feller转移函数之间的紧密关系，我们证明了随机单调标准转移函数是强遍历的充要条件是它不是feller转移函数。