SLUMP 发表于 2025-3-23 11:17:23

Laws of Large Numbers,We shall consider a sequence of random variables {.; . = 1, 2, ...}. By definition, this sequence converges in probability to the random variable . if P(│. − .│ ≧ .) → 0 for every fixed . > 0. In this case we use the notation..

重叠 发表于 2025-3-23 15:13:41

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Limerick 发表于 2025-3-23 18:16:34

Theorems on Convergence to Infinitely Divisible Distributions,ion function .(.) can serve as a limit of this kind. For, if the random variable . has the distribution function .(.) for every ., and if . ≡ 0 for all . and for . > 1, then the sum (1.1) has the distribution .(.) for all ..

先锋派 发表于 2025-3-24 02:00:13

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战役 发表于 2025-3-24 04:43:58

Probability Distributions and Characteristic Functions,of most of the statements are omitted; they can be found in the texts of, among others, Gnedenko , Feller , Loève and Lukacs . Proofs of some of the more specialized results are given here.

Lobotomy 发表于 2025-3-24 08:05:40

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Malcontent 发表于 2025-3-24 11:17:31

Asymptotic Expansions in the Central Limit Theorem,xclude the trivial case when all . Have degenerate distributions. Thus, . > 0 for all sufficiently large . and we shall consider only such .. Let . denote the cumulant of order ., and .(.) the characteristic function, of .; and let .(.) be the characteristic function of the sum.. We expand the logar

鞠躬 发表于 2025-3-24 18:18:05

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气候 发表于 2025-3-24 20:49:32

Valentin V. Petrovg car, artificial intelligence has tremendously spurred the technology in automated and assisted driving. During testing, the self-driving car has driven ten billion miles in simulation. In actual driving, the UK has set a milestone in self-driving vehicle history when a modified Nissan Leaf complet

深陷 发表于 2025-3-25 01:38:03

g car, artificial intelligence has tremendously spurred the technology in automated and assisted driving. During testing, the self-driving car has driven ten billion miles in simulation. In actual driving, the UK has set a milestone in self-driving vehicle history when a modified Nissan Leaf complet
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查看完整版本: Titlebook: Sums of Independent Random Variables; Valentin V. Petrov Book 1975 Springer-Verlag Berlin · Heidelberg 1975 Grenzwertsatz.Random Variables