相關隨機變數 的英文怎麼說

中文拼音 [xiāngguānsuíjībiànshǔ]
相關隨機變數 英文
correlated random variables
  • 相 : 相Ⅰ名詞1 （相貌; 外貌） looks; appearance 2 （坐、立等的姿態） bearing; posture 3 [物理學] （相位...
  • 關 : Ⅰ動詞1 （使開著的物體合攏） close; shut 2 （圈起來） shut in; lock up 3 （倒閉; 歇業） close down...
  • 隨 : Ⅰ動詞1 （跟; 跟隨） follow 2 （順從） comply with; adapt to 3 （任憑; 由著） let （sb do as he li...
  • 機 : machineengine
  • 數 : 數副詞（屢次） frequently; repeatedly
  • 相關 : be interrelated; be related to; be bound up with; correlation; dependence; relevance; mutuality
  • 隨機 : random stochasticrandom
  1. At first, this paper analyzes the factors of water - sand influencing water level of yellow river and the feasibility just using the factors of water - sand to study water level, and collects the corresponding data ; secondly, because there are strong nonlinear relation in the corresponding data, by meticulous theory analysis, this paper integrates basic nonlinear analysis method, theory of random analysis, method of least squares and so on. it puts forward a method which can get the high accuracy simulation of the data, perfects the multi - factor analysis of variable ( over three factors ) of the statistic ; thirdly, it applies the method to the approximation of corresponding water level process which belong to the capacity of sand of middle - high and middle - low, and get the high - accuracy simulation about the typical nonlinear relation ; at last, this paper definitudes the main influence mode that the capacity of sand. it mainly unite with other factors to work on the water level in the yellow river lower reaches ; mor eover, this paper analyzes the difficult point and the direction of improvement to realize the accuracy forecasting of the flood level of erodible - bed channel

    首先，系統分析了影響黃河水位的水沙因素，及僅用水沙因素有效研究水位的可行性，並按變量對應思想採集它們的相應數據；其次，由於相應水位過程數據中含極強的非線性關系，本論文經細致的理論分析，將基本的非線性分析方法、統計建模方法、隨機分析理論、最小均方誤差原則等等數學理論及方法有機揉合，提出了能有效實現這類數據高精度擬合的分層篩選法，並改進了統計學中多因子（三個以上）方差分析法；再次，將這一方法用於黃河中高及中低含沙類洪水相應水位過程的擬合，實現了這一典型非線性關系的高精度擬合，各年汛期上下游相應洪水位過程的擬合誤差都較小；最後，明確黃河下游含沙量對水位的主要影響方式，即含沙量主要是與其它因素聯合對水位作用；另外分析了要實現變動河床洪水位過程準確預報的困難所在及改進方向。
  2. Besides, this paper adopts the random finite element method, uses geometric and physical mechanical parameters that are relevant to lining weight of surrounding rock, coefficient of lateral pressure, height or buried depth of vertical loading, elastic resistance coefficients of surrounding rock, elastic modulus of support structure, unit weight of concrete, thickness of the structure as well as torsional strength and compression strength of concrete and etc., as random variables, applies the monte - carlo method to sampling by computer, preliminarily evaluates the reliability of bearing capacity and stability of molded concrete lining of the xuefeng mountain tunnel, and obtains the related displacement of the lining, mean value and variance of internal force, and computed the reliability index of lining structures

    此外，本文採用隨機有限元方法，將圍巖容重、側壓力系數、垂直荷載高度或埋深、圍巖的彈性抗力系數、支護結構的彈性模量、混凝土容重、結構的厚度以及混凝土的抗扭與抗壓強度等與襯砌結構有關的幾何與物理力學參數作為隨機變量，應用蒙特卡洛理論進行計算機隨機取樣，對雪峰山隧道模注混凝土襯砌的承載力與穩定性的可靠度進行了初步評估，得出了襯砌的相關位移與內力的均值和方差，並計算出了相應的襯砌結構可靠指標。
  3. Most people are fit to travel by air, but special attention is required for passengers whose health problems may be exacerbated by altitude, hypoxia, travel stress, manhandling luggage, changing climates and food as well as other travel related difficulties

    大多數旅客皆可隨時隨意乘搭航機，但一些身體欠佳的旅客可能因海拔或氣候轉變低氧搬運行李時用力過度精神緊張飲食習慣不同及其他相關問題而須特別留神。
  4. In the second part of the thesis, the non - thermal phase transition in high energy collisions is studied in detail in the framework of random cascade model. the relation between the characteristic parameter xq of phase transition and the rank q of moment is obtained using monte carlo simulation, and the existence of two phases in self - similar cascading multiparticle systems is shown. the relation between the critical point qc of phase transition on the fluctuation parameter q is obtained and compared with the experimental results from na22

    文章第二部分中，我們用隨機級聯模型對高能碰撞中的非熱相變作了仔細研究，用montecarlo模擬得到了表徵相變的特徵參數_ q與矩階數q之間的關系，證實了自相似多粒子系統中存在兩相，求出了相變點q = q _ c對起伏參數的依賴關系，並和na22實驗結果進行了比較。
  5. The influence of the selection of the shearing resistance and the seepage pressure on the reliability index is analyzed ; meanwhile, the influence of the distribution types, cut - tail and correlation of the stochastic variable on the reliability is discussed

    接著分析了抗剪強度參數的選擇及滲透壓力對可靠指標的影響，並討論了隨機變量的分佈類型、截尾情況以及相關關系對可靠指標的影響。
  6. The main contributions of the second part of this dissertation are focused on the cryptographic properties of logical functions over finite field, with the help of the properties of trace functions, and that of p - polynomials, as well as the permutation theory over finite field : the new definition of chrestenson linear spectrum is given and the relation between the new chrestenson linear spectrum and the chrestenson cyclic spectrum is presented, followed by the inverse formula of logical function over finite field ; the distribution for linear structures of the logical functions over finite field is discussed and the complete construction of logical functions taking on all vectors as linear structures is suggested, which leads to the conception of the extended affine functions over finite field, whose cryptographic properties is similar to that of the affine functions over field gf ( 2 ) and prime field fp ; the relationship between the degeneration of logical functions and the linear structures, the degeneration of logical functions and the support of chrestenson spectrum, as well as the relation between the nonlinearity and the linear structures are discussed ; using the relation of the logical functions over finite field and the vector logical functions over its prime field, we reveal the relationship between the perfect nonlinear functions over finite field and the vector generalized bent functions over its prime field ; the existence or not of the perfect nonlinear functions with any variables over any finite fields is offered, and some methods are proposed to construct the perfect nonlinear functions by using the balanced p - polynomials over finite field

    重新定義了有限域上邏輯函數的chrestenson線性譜，考察了新定義的chrestenson線性譜和原來的chrestenson循環譜的關系，並利用一組對偶基給出了有限域上邏輯函數的反演公式；給出了有限域上隨機變量聯合分佈的分解式，並利用隨機變量聯合分佈的分解式對有限域上邏輯函數的密碼性質進行了研究；給出了有限域上邏輯函數與相應素域上向量邏輯函數的關系，探討了它們之間密碼性質的聯系，如平衡性，相關免疫性，擴散性，線性結構以及非線性度等；討論了有限域上邏輯函數各類線性結構之間的關系，並給出了任意點都是線性結構的邏輯函數的全部構造，由此引出了有限域上的「泛仿射函數」的概念；考察了有限域上邏輯函數的退化性與線性結構的關系、退化性與chrestenson譜支集的關系；給出了有限域邏輯函數非線性度的定義，利用有限域上邏輯函數的非線性度與相應素域上向量邏輯函數非線性度的關系，考察了有限域上邏輯函數的非線性度與線性結構的關系；利用有限域上邏輯函數與相信息工程大學博士學位論文應素域上向量邏輯函數的關系，揭示了有限域上的廣義bent函數與相應素域上的廣義bent函數的關系，以及有限域上的完全非線性函數與相應素域上向量廣義bent函數之間的關系;給出了任意有限域上任意。
  7. Our results show that the rate of correlation among the random variables of those output sequences are low although they are not independent ; in addition, the output sequences of those combined generators are homogeneous markov chains which are strictly stationary processes with ergodicity ; the output sequences of those combined generators are also proved to summit to the strong law of large numbers and the central limit theorem ; finally the computation formula of the rate of the accordance between the output sequences and input sequences of those combined generators is given

    我們的研究結論表明：雖然這些序列中隨機變量之間不具有相互獨立性，但它們的相關程度卻比較低；證明了「停走」生成器， km _ 1m _ 2型組合生成器和加法型組合生成器的概率模型輸出序列都是強平穩的和遍歷的齊次馬氏鏈；討論了這些序列的概率極限性質，證明了它們均服從強大數定律和中心極限定理；還分別給出了各類生成器的輸出序列與輸入序列之間的符合率的計算公式。
  8. It is just like what embrechts, kl ppelberg and mikosch ( 1997 ) [ 6 ] pointed out : " random sums are the bread and butter of insurance mathematics ". and what have intimate relation with random sums are renewal counting processes and other counting processes. in the current theory of insurance and finance, the random variables generating counting processes are often supposed independent identically distributed, this hypothesis is reasonable in many situations and we have obtained rather satisfactory " results about it

    ） ppelbergandmikosch （ 1997 ） [ 6 ]指出： 「隨機和就像是保險數學中的麵包和黃油」 ，而與隨機和密切相關的是更新計數過程和其他計數過程，在現行保險金融理論中，人們往往假設構成計數過程的隨機變量獨立同分佈，這一假設在許多場合下是合理的，並且取得了頗為圓滿的結果。
  9. This paper firstly applied sequential cluster method to set up the classification standard of precipitation state based on the fact that there are much uncertainty and imprecise characteristics in the precipitation course ; then this paper presented a method which is called markov chain with weights to predicted the future precipitation state by regarding the standardized self - coefficients as weights based on the special characteristics of precipitation being a dependent stochastic variable ; and applied this method to a real hydrological observation station with nearly 50 years precipitation information in shanxi province at last, an ideal result was obtained

    摘要首先基於降水過程存在大量不確定性、不精確性的特點，應用有序聚類的方法建立降水豐枯狀況的分級標準；然後針對降水量為相依隨機變量的特點，採取以規范化的各階自相關系數為權重，用加權的馬爾可夫鏈模型來預測未來降水的豐枯變化狀況；最後以山西省某水文站近50年的降水資料為實例對該方法進行了具體的應用，獲得了較為滿意的結果。
  10. In the existing literature, the material coefficients are simply considered as constants. yet the material coefficients c and n in paris formula are randomized in this study. using the least square method, the statistical correlation between c and n is obtained through the numerical value collocation

    將以往文獻中通常看作是確定性的材料系數隨機化，通過對大量數據進行數理統計的分析，將疲勞裂紋擴展速率paris公式中材料系數c和n視為隨機變量，採用最小二乘法對c和n進行數值擬合，從而得到二者的統計相關性表達式。
  11. In chapter l, we introduce the relative background on this paper and give some simple expressions of the work which have been studied. in chapter 2, in virtue of the notion of likelihood ratio the limit properties of the sequences of dependent nonnegative continuous random variables are studied, and a class of strong limit theorems represented by inequalities are obtained. the bounds given by these theorems depend on positive constant c. in chapter 3, by means of the notion of log likelihood ratio, a kind random strong deviation theorem are obtained, and the bounds given by these theorems depend on r ( )

    第一章，介紹本論文的選題背景，對已有的工作進行扼要的介紹；第二章，利用似然比的概念研究相依連續型非負隨機變量序列的極限性質，得到一類強偏差定理，其偏差界依賴于正常數c ；第三章，利用對數似然比的概念得到一類隨機偏差定理，其偏差界依賴于r （ ） ，證明中引進了尾概率和尾概率的laplace變換的概念；第四章，利用對數似然比的概念，得到了一類關于任意連續型隨機變量序列的泛函的強偏差定理。
  12. But in more situations the random variables generating counting processes may not independent identically distributed, and in all kinds of dependent relations, negative association ( na ) and positive association ( pa ) are commonly seen. the research and apply in this aspect are rather valuable. in chap 2 we prove wald inequalities and fundamental renewal theorems of renewal counting processes generated by na sequences and pa sequences ; in chap 3 we are enlightened by cheng and wang [ 8 ], extend some results in gut and steinebach [ 7 ], obtain the precise asymptotics for renewal counting processes and depict the convergence rate and limit value of renewal counting processes precisely ; at last, in the study of na sequences, su, zhao and wang ( 1996 ) [ 9 ], lin ( 1997 ) [ 10 ] have proved the weak convergence for partial sums of stong stationary na sequences. however product sums are the generalization of partial sums and also the special condition of more general u - statistic

    但在更多的場合中，構成計數過程的隨機變量未必相互獨立，而在各種相依關系中，負相協（ na ）和正相協（ pa ）是頗為常見的關系，這方面的研究和應用也是頗有價值的，本文的第二章證明了na列和pa列構成的更新計數過程的wald不等式和基本更新定理的一些初步結果；本文的第三章則是受到cheng和wang [ 8 ]的啟發，推廣了gut和steinebach [ 7 ] ）中的一些結論，從而得到了更新計數過程在一般吸引場下的精緻漸近性，對更新計數過程的收斂速度及極限狀態進行精緻的刻畫；最後，在有關na列的研究中，蘇淳，趙林成和王岳寶（ 1996 ） 》 [ 9 ] ，林正炎（ 1997 ） [ 10 ]已經證明了強平穩na列的部分和過程的弱收斂性，而乘積和是部分和的一般化，也是更一般的u統計量的特況，它與部分和有許多密切的聯系又有一些實質性的區別，因此，本文的第四章就將討論強平穩na列的乘積和過程的弱收斂性，因為計數過程也是一種部分和，也可以構成乘積和，這個結果為研究計數過程的弱收斂性作了一些準備。
  13. Because of intrinsic randomicity of discrete event system, every operation of simulation is one course of sampling. in addition, the random variables are produced by using the false random number generators, self - dependence is relatively serious. so, the statistical analysis of the simulation result is necessary

    由於離散系統本身固有的隨機性，每一次模擬的運行都是一次采樣過程，加之隨機變量是使用偽隨機數產生的，自相關性較強，因此，還對模擬結果進行了統計分析。
  14. We also give the reliability analysis of cold -, warm standby repairable system of two components with continuous lifetime switch and priority, under the condition that the operating time and maintained time of the two components and the lifetime and repair - time of the switch are all exponential distributions. all the variables are independent, and the lifetime of operating components have nothing to do with its maintained time, and the failure components and switch can be as good as new after repair

    對于由兩個不同型部件組成的、有優先權的、開關壽命為連續型隨機變量的冷、溫貯備可修系統，本文在兩部件的工作時間、維修時間以及轉換開關的壽命和修理時間均服從指數分佈、所有隨機變量均相互獨立、工作部件的壽命分佈與其貯備時間無關、故障部件和轉換開關均可修復如新的情況下作了研究。
  15. Let { xn ; n > 1 } be mutually identically independent random variables distributed according to the normal distribution, { sn, n > 1 } be finite partial sum series, the purpose of this paper is to investigate law of the iterated logarithm type results for special finite partial weight sum series { sn, n > 1 }, we assume that sn = a1sn + a2 ( s2n - sn ) + a3 ( s3n - s2n ) +. . + ad ( sdn - s ( d - 1 ) n ) in the second chapter, theory 2 by using the method of literature [ 8 ], we extend hartman - wintner law of iterated logarithm on the gauss distribution. we substitute negative correspond for independent. it extends the corresponding results in gauss distribution

    設{ x _ n ； n 1 }是獨立同分佈的且服從標準正態分佈的隨機變量序列， { s _ n ， n 1 }是其部分和數列，討論有限項特殊加權部分和{ s _ n ， n 1 }的重對數律，其中定理2利用文獻[ 8 ]提供的方法，在高斯分佈上改進了hartman - wintner的重對數律，取消獨立性用更弱的條件負相關代替，大大拓寬了重對數律在高斯分佈中的使用范圍。
  16. Some limit properties of sequences of arbitrary b - valued random variables are studied by using truncation methods of random variables and conditional three series theorem, a class of strong limit theorems and convergence theorems for martingale difference sequences related to the conditional expectations are obtained, and some conclusions corresponding to these and some classical strong laws of large numbers are generalized

    摘要利用隨機變量的截尾方法和條件三級數定理，研究任意b值隨機變量序列的極限性質，得到了一類關于條件期望的強極限定理和鞅差序列收斂定理，推廣了與此相應的一些結果和若干經典的強大數定律。
  17. According to the problem that the recovery rate is traditional treated as a constant or an independent stochastic variable by the classical credit risk pricing and management model, and problem that the negative correlation between the default probability and recovery rate is always neglected, this dissertation gets the exponential and logarithm regression models of default probablilty and recovery rate based on some empirical researches, and improves on several broadly applied credit risk models, such as structural hazard rate model, affine structure model, convertible bond pricing model and credit metrics model, and introduce the negative correlation between

    針對傳統的信用風險定價模型及信用風險管理模型將違約回收率看成是一個外生的常數或是一個獨立的隨機變量，而忽略回收率和違約概率之間的負相關性這一問題，本文應用相關實證研究得到了違約概率和回收率的指數和對數回歸模型，並對應用非常廣泛的結構化風險率模型、仿射結構模型、可轉換債券定價模型和creditmetrics模型進行了改進和拓展，在新模型中應用指數和對數函數引入了這兩個變量之間的負相關性。
  18. Based on the approach of turning some of the relevant extreme - value - type and logarithmic normal distribution variables into independent and normal random variables, the shear - slipping failure probability of a high arch dam is worked out to be of the order of magnitude of 10 ^ ( - 5 ) by means of second - order moment method

    在將部分相關的極值型與對數正態分佈隨機變量轉換為獨立、正態隨機變量的基礎上，利用二階矩法計算得到某高拱壩的剪滑失效概率為10 ^ （ - 5 ）量級。
  19. According to the characteristics of uwb standard channel models, we propose the concept of “ composite lognormal random variables ( rvs ) ”. based on this new concept, a new and precise approach is proposed to approximate the statistical distribution of lognormal rvs ’ sum, which places no restriction on the distributional parameters and correlation between the two branches. then, we

    在此基礎上，提出了一種新的對對數正態隨機變量和的統計特性進行近似的方法，該方法對變量的分佈參數和變量間的相關特性沒有任何限制，且精度較已有方法有了進一步的提高。
  20. As per optimal operation pattern function with annuals cycle, each decision of annual cycle and corresponding operating factors in the light of observed value of random variable, regression analysis at each time - interval is carried out and then regression equation will be as the operation function to guide cooperating operation for group hydropower station

    依據優化調度模型函數，以年為周期，將各年周期的決策值及其相關的運行要素作為隨機變量的觀測值，逐時段做回歸分析，並將其回歸方程作為指導水電站群聯合運行的調度函數。
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