隨機變量序列 的英文怎麼說
中文拼音 [suíjībiànliángxùliè]
隨機變量序列
英文
sequence of random variables-
In this paper, we study the convergences of random dirichlet series by the local convergence of random variable and the strong law of large numbers, and obtain some simple and explict formulae on abscissa of convergence
該文是利用隨機變量序列的局部收斂性及強大數定律研究了隨機狄里克萊級數的收斂性,得出了它的收斂橫坐標的簡潔公式Abstract : in this paper, we study the convergences of random dirichlet series by the local convergence of random variable and the strong law of large numbers, and obtain some simple and explict formulae on abscissa of convergence
文摘:該文是利用隨機變量序列的局部收斂性及強大數定律研究了隨機狄里克萊級數的收斂性,得出了它的收斂橫坐標的簡潔公式A study of dependence between random variables
關于隨機變量序列的無規則性定理Four convergence relations of random variable sequence
隨機變量序列四種收斂性關系Several of limit theorems for sequences of random variables
隨機變量序列的幾個極限定理The strong limit theorems of series of b - value random variables
值隨機變量序列的強極限定理Convergence properties of complex independent random variables
復值獨立隨機變量序列的收斂性Abstract : a strong ilmit theorem for the weighted sum of discrete random sequences is gotten by the method of net differentiability
文摘:利用網微分法,給出了離散型隨機變量序列加權和的一個極限定理。Through almost sure convergence of random variables, the probability convergence can be derived ; and further the weak convergence can be derived
摘要由隨機變量序列幾乎處處收斂可推出其依概率收斂,進而可推出其依分佈收斂,可見判別幾乎處處收斂的重要性。The property of continuous function and the formula of probability addition to the convergence in probability of continuous function sequence of random vector is used
摘要將依概率收斂的一維隨機變量序列的連續函數仍依概率收斂的結論推廣到隨機向量序列的情形。The strong deviation theorems are new type theorems established by using the notion of the likelihood ratio. professor liu wen frist applied an analysis method in solving a class of strong deviation theorems for a sequense of random variables. later professor liu wen studied the shannon - mcmillan theorem in information theorems [ 2 ] - [ 8 ] and deviation theorems of non - negative continuous random variables [ 10 ] - [ 11 ] by using the analytic technique and obtained some strong deviation theorems. the chapter 2 of the paper studied a class of strong deviation theorems of function of two variables of information sources and obtained a further study of shannon - mcmillan theorem of markov information sourses by definning the using concept of entropy density divergence. the chapter 3 of the paper studied a class of strong deviation theorems of non - negative continuous random variables by using tool of transformation of laplace. information theory, as a branch of applied probability theory, becomes more and more important in appling
劉文教授在解決大數定律中,用首創的分析方法得到一類隨機變量序列的強偏差定理。后來,劉文教授把分析方法用於信息論中shannon - mcmillan定理和連續型隨機變量的偏差定理的研究,得到了若干強偏差定理。本文的第二章是引進任意信源相對熵密度偏差的概念,並利用這個概念研究任意信源二元函數的一類強偏差定理,得到了馬氏信源shannon - mcmillan定理的一個推廣。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Weak convergence of the distribution of independent random variable series in hilbert space
空間中獨立隨機變量序列分佈的弱收斂性As is well known that i. i. d random sequences are special cases of na sequences or p - mixing sequences which have not properties as good as i. i. d random sequences
眾所周知,獨立隨機變量序列是na序列或者混合序列的一種特殊情況, na序列和-混合序列不像獨立序列那樣具有良好的性質。The complete convergence for partial sums of sequence of complex idd random variable
復值獨立同分佈隨機變量序列部分和的完全收斂性This paper discusses from the point of complete convergence the convergence of random sequences which include both i. i. d. and dependent case, such as na sequences and - mixing sequences
這篇文章主要從完全收斂性的角度研究隨機變量序列的收斂性,不僅包括獨立同分佈的隨機變量序列,還包括不獨立的情況,例如na序列和-混合序列。A time series data set is a sequence of random variables indexed by time
時間序列數據是以時間為指標的一個隨機變量序列。Then li yirig - fu extended taylor and hu s results, in this section we extend li ying - fu ' s results to the cases of random index, and obtain random strong laws of large numbers, meanwhile we obtain theorems of random weighted sums, the results are the following
李應富改進和推廣了taylor和hu的結果,本節中我們又將李應富的部分結果推廣到了隨機足標的情形,得到了可交換隨機變量序列的隨機強大數律,另外還得到了隨機加權和定理,主要結果如下:定理1Limiting behavior of weighted sums of identically distributed - mixing random variables
混合隨機變量序列加權和的極限性質分享友人