The final results obtained in this paper contained that the optimal interpolation scheme highlighted by the covariance that the correlation between different time and the correlation between different place being considered ; that the simplification of kalman filter with the singular - value decomposition ( svd ) and the direct construction of state transition matrix pfeceded with " inverse vector expression " ; and that the analysis of t / p data and its blending with theoretical model 这些成果包括：建立考虑了时间相关的方差矩阵和时空相关的最优插值算法；对卡尔曼滤波算法进行了svd简化以及建立了显式的状态转移矩阵；将t p实时卫星数据进行调和分析并与数值模型进行同化处理。
First , using the scale - invariant property of multiscale model , i . e . markovian among scales , a method of qth - order tree - based for multiscale representation of a class of 1 - d stochastic process is presented . the multiscale stochastic model is established . the representation forms of parameter matrices , such as , the state transition matrix , the disturbance matrix , the initial state and the corresponding covariance matrix are deduced in detail 本文在已有工作的基础上，开展了以下几个方面的研究工作： 1 、根据多尺度模型尺度不变性，即利用尺度间的markov性，给出了一类1 - d随机过程基于一般q阶树的多尺度表示方法，建立了相应的多尺度动态模型，详细推导了多尺度模型中的状态转移阵、扰动阵、初始状态和相应的协方差阵，并通过计算机仿真给出了不同阶树的多尺度采样路径。
This study applies markov chain method on developing a decision support system , which first combines the historical records of professional baseball and sets up the transition matrix for each player based on the statistics , and then the transition matrix for nine batters in a given order determines the run distribution produced by this lineup 摘要本文旨在应用马可夫链开发决策支持系统，结合职棒历史记录之统计资料，根据资料创建每位球员的递移矩阵，当球赛开始于第一局无人出局无人在垒的情况之下，因棒次排列方式的不同，经过递移矩阵运算后，探讨九局比赛的球队得分分布机率。
In light of market risk , there are sensitivity measurement method and volatility measurement method as well as the concepts about risk measurement , such as variance , duration , 3 - coefficient , 5 - coefficient and value at risk . and in light of credit risk , there are accounting - based ratio measurement method and volatility - based measurement method , as well as the related concepts , such as credit rating , z - score , transition matrix , expected default frequency 其中，针对市场风险度量的方法包括灵敏度测量风险方法和波动性测量风险方法，与之相关的风险度量概念有方差、持续期、系数、类系数和在险价值；针对信用风险度量的方法包括基于财务比率的风险测量方法和基于波动性的风险测量方法，与之相关的风险度量概念有信用评级、 z分数、转换矩阵、违约频率。
The random mathematical model is described using equivalent markov equations . the time and state parameters are discrete . based on the model , the flow rate distributions along radial and average at any height can be calculated directly , moreover , the probability transition matrix of the flow can be determined via the statistic character of the random cumulate particles , and be corrected by s . cd the random theoretical model shown in fig . l , the section of the bed of tbr is divided into a series of concentric circles 一、在常温和常压下进行滴流床反应器流率分布的研究，以状态离散、时间离散的齐次markov过程描述了滴流床在滴流区的流率分布，建立了滴流床在滴流区流率分布的随机模型，根据此模型可以： 1 、可直接确定任一高度下的液体径向流率分布及平衡流率分布； 2 、液体流动的概率转移矩阵可由随机堆积颗粒的统计特性确定，以参数s修正。
