stochastic processes 中文意思是什麼

The material presented in this chapter should give adequate preparation for those interested in specializing in specific areas of advanced probability and stochastic processes.

這一章所講的內容，對有志於專攻高深概率和隨機過程方面的人，將給出充分的準備。

A stationary subclass of a kind of stochastic processes

一類隨機過程的一個平穩子類

The equations of the mean value functions and the covariance functions are established for dynamical systems whose inputs are fuzzy stochastic processes. an existence and uniqueness theorem of ito fuzzy stochastic differential equations is proved, some explicit representations of solutions and the equations of statistical characteristics are deduced for linear fuzzy stochastic differential equations, and numerical methods to nonlinear fuzzy stochastic differential equations are proposed, the conditions for stability and observability of fuzzy linear systems are derived. the kalman filter algorithms of linear fuzzy stochastic systems are brought forward

主要成果包括：提出了模糊隨機變量協方差和反向協方差的概念；研究了二階模糊隨機變量的均方收斂性，並在此基礎上得到了均方模糊隨機分析、平穩模糊隨機過程及其譜分解的若干定理；根據均方模糊隨機分析理論，得到了輸入為模糊隨機過程的線性系統的輸出輸入統計特徵關系方程；證明了ito型模糊隨機微分方程解的存在唯一性，並給出了ito型線性模糊隨機微分方程解的表達式，統計特徵方程以及非線性模糊隨機微分方程的數值解法；得到了模糊線性系統的穩定性和可觀性條件、線性模糊隨機系統統計特徵方程和線性模糊隨機系統的kalman濾波演算法；研究了當觀測值是模糊數據時，線性回歸模型的建立。

According to based on lyapunov ' s mathematical definition of probabilistic stability, the cwr probabilistic stability criterion is proposed on the basis of the first - passage probabilities of stochastic processes

基於李雅普諾夫意義的概率穩定性概念，結合隨機過程跨越理論，提出了無縫線路概率穩定性判斷準則。

Queueing theory is a greatly important kind of application stochastic processes

在應用隨機過程中，排隊論無疑是其中極為重要的一類。

Measurability on two - dimensional stochastic processes

兩參數隨機過程的可測性

Stability of set - value stochastic processes

關于集值隨機過程的平穩性

Stopping of two - parameter stochastic processes

兩指標隨機過程的停止

Stationary fuzzy stochastic processes and their spectral decompositions

平穩模糊隨機過程及其譜分解

Some covergence of stochastic processes functional in hilbert space

空間中隨機過程泛函的某些收斂性

Risk theory is a hot topic in the present actuarial science and mathematics research. it helps to construct the risk model in the light of the instrument of stochastic processes and to study the problems of ruin probability and adjustment coefficient

風險理論是當前精算界和數學界研究的熱門課題，最初主要藉助隨機過程理論來構造保險經營中的余額過程，並研究其破產概率、調節系數等問題

Stability of the arbitrary rank derivatives of stationary stochastic processes

關于平穩隨機過程任意階導數的平穩性

Stochastic control is one of the most important branches in modern control theory. both the measurements and the control in stochastic problem are stochastic processes

隨機控制是現代控制理論的一個重要分支，隨機控制系統的量測量和控制量都是隨機過程。

In contrast to conventional optimization algorithms whose iterates are computed and analyzed deterministically, randomized methods rely on stochastic processes and random number / vector generation as part of the algorithm and / or its analysis

傳統的最優化演算法中迭代的計算和分析是確定的，與之相比，隨機方法依靠隨機過程和隨機數字/向量的生成作為演算法和（或）演算法分析的一部分。

( 3 ) proposes several strategies to improve the performance of ejb on the basis of studying and practicing others " work, and puts forward a new method to analyze the performance using stochastic processes and queueing theory from integral aspect

（ 3 ）借鑒了前人對ejb體系性能分析的研究成果，通過實踐給出了若干提高ejb性能的策略，並從服務系統的整體角度提出了一種利用隨機服務過程和排隊論分析ejb系統性能的新方法。

This dissertation is meant to combine the theory of stochastic processes and the theory of fuzzy sets to find some new methods of system modeling, analysis and control by describe uncertainty more minutely, and then to balance the optimization and the robustness

本文的目的是綜合運用隨機過程和模糊集合論的方法，通過更加精細地刻畫系統不確定性，探索具有模糊隨機不確定性的系統建模、分析和控制的新方法，並期望在最優性與魯棒性之間尋求比較好的結合點。

The algorithm of strapdown inertial navigation system is also discussed and then use the flight - track generator to give a simulation, since a closed loop feedback integrated navigation system is designed in this paper, and the output of the filter must feed back to the strapdown inertial navigation system, the analysis of the algorithm in strapdown inertial navigation system is important. the scheme to design the trajectory of gps and the simulation of gps constellation are then studied, the simulation of gps constellation is given from the calculation of vernal equinox base on the principle of celestial mechanics, this method of different from other methods given by other paper and is useful to the research of satellite navigation system. a new method to abstract noise modal in integrated navigation system is proved to be useful in practice, this method, which is given by use the principles of stochastic processes, statistics, time series analysis, and system identification, is suitable for the kalman filter in integrated navigation system

如航跡產生器的設計，該航跡產生器是研究組合導航問題的前提，從國外一些研究組合導航系統的文獻中可以看出，設計這樣一個航跡產生器是非常必要的，所以本文自行設計了這樣一個系統；還討論了捷聯慣性導航系統中捷聯解算的方法，並進行了模擬研究，由於在本文設計的閉環反饋式組合導航系統中，對捷聯慣導系統的平臺誤差進行閉環控制，需要將濾波器輸出的校正量反饋到捷聯解算內部，所以必須對捷聯解算進行深入的研究和分析，更何況捷聯解算問題本身也是導航界的一個熱門研究課題；另外，本文還介紹了gps軌道及其星座模擬的設計思想和方案，與以往gps軌道和星座模擬不同的是本文從天體力學中計算春分點開始，逐步進行gps軌道及其星座模擬，這樣的設計方法對從事衛星導航的研究工作是有價值的；還對組合導航中誤差建模方法進行了研究，綜合運用隨機過程、概率統計、時序分析及系統辯識等方面的理論提出了一套適合組合導航卡爾曼濾波的誤差建模方法，並運用實際研究工作中的測量數據對該方法進行了驗證。

Ph. d. in mathematics, stanford university （ 1990 ） ； m. s. ( 1985 ) and b. s. ( 1982 ) in mathematics, nanjing university. professor, georgia institute of technology. research and teaching : probability, stochastic processes ii, statistics, etc

南京大學數學學士（ 1982 ） 、碩士（ 1985 ） ，美國斯坦福大學數學博士（ 1990 ） 。現任教於美國喬治亞理工學院工業工程與系統工程系。主要研究和教學領域：概率論、隨機過程、統計學等。

Since there are a lot of periodic non - stationary stochastic processes, i combine the kalman filtering and multiresolution analysis methods, and propose the wavelet - kalman filtering hybrid estimating and forecasting method. this method has the real - time, recursion and multiresolution characteristics. in this paper, using this method, i realize the real - time tracking and dynamic multistep forecasting in one cycle

針對自然、社會和經濟等環境中存在有大量周期性的非平穩隨機過程，我們將kf方法和多尺度分析方法相結合，提出了既具有實時性和遞歸性又具有多尺度分析能力的小波?卡爾曼濾波混合估計與預報方法，應用此方法可實現周期內對目標狀態的實時跟蹤估計和動態多步預報。

Some stochastic processes associated with multi - type branching processes

與多型分枝過程相關聯的某些隨機過程