wintner 中文意思是什麼

wintner 解釋
溫特納
  1. 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」 。
  2. As for i. i. d. r. v., we get the extension of " the law of iterated logarithm of hartman - wintner " under weaker conditions. at the end of this paper, we discuss that the moment conditions of theorem are necessary to the law of iterated logarithm of this form

    對獨立同分佈的情形,在更弱的條件下得到「 hartmnan - wintner重對數律」的推廣,並在文章最後證明了此時對這種形式的重對數律定理中矩條件是必要的。
  3. The paper consists of two chapters. in the first chapter, theory 1 [ 1 ] mainly by using the method of the law of the iterated logarithm with finite partial sum in wiener process proves hartman - wintner [ 1 ] law of the iterated logarithm for special finite partial weight sums

    本文正文分兩部分,定理1主要利用[ 1 ] wiener過程下的有限項部分和的重對數律,把hartman - wintner重對數律[ 1 ]推廣到對特殊加權部分和也成立。
  4. 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。
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