獨立隨機變數 的英文怎麼說

中文拼音 [dúlìsuíjībiànshǔ]
獨立隨機變數 英文
independent random variable
  • 獨 : Ⅰ形容詞（一個） single; only; sole Ⅱ副詞1 （獨自） alone; by oneself; in solitude 2 （唯獨） only...
  • 立 : 動1 （站） stand; remain in an erect position 2 （使豎立; 使物件的上端向上） erect; stand; set up...
  • 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
  • 獨立 : 1. （單獨站立） stand alone 2. （自主自立; 不受人支配） independence 3. （不依靠他人） independent; on one's own
  • 隨機 : random stochasticrandom
  1. The limit theory of law of the iterated logarithm have received more and more attentions, especially about identical independent random variables. but up to now, the studies are only for partial sums and, have n ' t shown any concern on the special finite partial weight suras. however, the partial sums and partial weight sums not only have the osculating aspects, but also have essential difference between them. so the studies for these play an important role in theoretical and applied setups

    因此對重對數律的研究引起了國內外學者的興趣，對獨立同分佈的隨機變量，許多學者做了大量的研究工作，但迄今為止這方面的研究仍限於部分和數列的重對數律，很少涉及到特殊加權和的領域，而部分和與加權和之間既有密切聯系，又有本質不同，因此，這一問題的研究具有一定理論意義和應用價值。
  2. Are i. i. d. random variables bounded above while the infection rate is a constant. the contact process survives locally for every

    是獨立同分佈而且有上界的隨機變量，感染的速率是常數
  3. The general density function of sum of indepentent random variable of uniform distribution on [ 0, 1 ] is listed by enumerating a few special cases, where the mathematical inductive method is used

    摘要通過簡單枚舉一些特例，列出服從均勻分佈的多個獨立隨機變量和的密度函數一般公式，然後用數學歸納法進行嚴格的證明。
  4. The weak law of large numbers for sequence of complex independent random variables

    復值獨立隨機變量序列的弱大數定律
  5. The strong law of large numbers for sequence of complex independent random variables

    復值獨立隨機變量序列的強大數定律
  6. Studied the complete convergence and law of large number of arrays of rowwise nqd random variables. results extended the corresponding results of array of rowwise independent random variables

    摘要研究了行為兩兩nqd的隨機變量陣列的完全收斂性和大數定律，所得結果，推廣了行獨立隨機變量陣列相應的結果。
  7. The weak law of large numbers for weighted sums of random variable sequences of independent and identical distribution

    獨立同分佈隨機變量列加權和的弱大數定律
  8. 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。
  9. 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。
  10. 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。
  11. 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。
  12. We have been familiar with " the law of iterated logarithm of kolmogorov " and " the law of iterated logarithm of hartman - wintner ". this paper will mainly discuss the law of iterated logarithm for some kind weighted partial sum

    各種文獻中對獨立隨機變量序列重對數律已有深入討論，我們已熟知「 kolmogorov重對數律」及「 hartman - wintner重對數律」 。
  13. 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。
  14. The concept of complete convergence was introduced by p. l. hsu and robbins [ 11 ] in 1947 : for arbitrary > 0 and i. i. d random variables with mean zero and variance 1, we have this conclusion strengthened classical strong law of large numbers in the direction of borel - cantelli lemma

    完全收斂性的概念是許寶祿和robbins [ 11 ]於1947年提出：對于均值為0 ，方差為1的獨立同分佈的隨機變量序列和任意0 ，我們有這個結論沿著borel - cantelli引理的方向加強了古典的強大數律。
  15. Let be a sequence of independent and identically distributed random variables ， with mean and variance. while the distribution function is unknown ， and is large ， then is a normal approximation distribution

    3設相互獨立的隨機變量服從同一分佈，已知均值為，方差為.單分佈函數未知，當充分大時，近似服從正態分佈
  16. In ( ( actuarial mathematics ) ) n. l. bower etc. specially have discussed the discrete time risk model in which the premium income of per unit time is regarded as a constant, the claim amount of each period time is regarded as independent and identically distributed random variable

    N . l . bower等人在《 actuarialmathematics 》一書中專門討論了離散時間的風險模型，該模型將單位時間內收取的保費視為常數，每一時期的理賠量視為獨立同分佈的隨機變量
  17. Weak law of large numbers for the random variable sequences of un - independent and un - identical distribution

    非獨立不同分佈隨機變量序列的弱大數定律
  18. It is an extension of " the law of iterated logarithm of kolmogorov ". in the course of proving, we extend two lemmas and use the relating results of partial sum increment of independent r. v

    本文主要討論獨立隨機變量某種加權和重對數律，它是「 kolmogorov重對數律」的推廣。在證明過程中，首先推廣了兩個引理，並用到了部分和增量的有關結果。
  19. Lil is a very precise phenomena whose rates of convergence have attracted many scholars " attention. [ 7 ] and [ 8 ] discussed the rate of convergence in lil of i. i. d. random sequences ; [ 9 ] discussed the convergence rates in the law of logarithm of na sequences

    [ v ] ， [ s ]研究了獨立同分佈隨機變量序列重對數律的收斂速度; [ 0l研究了na隨機變量序列的對數律的收斂速度; 14 ]研究了b值獨立同分佈隨機變量的收斂速度;
  20. The instantaneous probability density function of the virtual stochastic process is evaluated, and then the probability density function of the basic random variable is obtained by employing the independent random samples

    利用獨立隨機抽樣的樣本值，即可獲取虛擬隨機過程的瞬時概率密度函數，進而獲得隨機變量的概率密度函數估計。
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