Strong limit theorems of functional for the sequence of arbitrary discrete random variables 任意離散值隨機變量序列泛函的一類強極限定理
The six sigma black belt should be able to compute expected values for continuous and discrete random variables 6西格瑪黑帶應(yīng)能計算出連續(xù)或離散隨機變量的期望值。
Later , professor liu wen studied the sequences of discrete random variables by combining the analytic technique with the approach of generating function and moment generating function and obtained a class of deviation theorems [ 10 ] ~ [ 121 后來,劉文教授把分析方法結(jié)合母函數(shù)和矩母函數(shù)的方法研究了離散型隨機變量,得到了一類強偏差定理。
In this paper , one kind of repaired as old model is considered , and the availability function , which is under the condition of all kinds of faults are consistent in the same time intervals , in any time is derived respectively for the maintenance is a binomial or is a discrete random variable 摘要本文考慮在維修時間為兩點取值的情況,在同一時間段里各類故障發(fā)生相容的條件下,指導(dǎo)出了設(shè)備在任意時刻可用度函數(shù)的表達式。
Then we get ruin probability , actuarial diagnostics and lundberg inequality in the new model . as to the risk model with random premium rate , we concerned with discrete random variable , continuous random variable and general random variable . we derive the formula of ruin probability , the extreme during the total duration of negative surplus and the joint distribution of the surplus immediately before ruin and the deficit at ruin 對于保費率為隨機變量的一類風險模型,本文就離散的隨機變量、連續(xù)的隨機變量、一般的隨機變量三個方面進行討論,運用概率方法和風險理論的方法推導(dǎo)出破產(chǎn)概率、末離前最大盈余分布、破產(chǎn)前瞬時盈余與破產(chǎn)赤字的聯(lián)合分布等精算量分布的一般公式。