Apraxia 发表于 2025-3-24 03:23:49
Multi-Dimensional Gaussian Distributions,Distributions in ℝ .. We are now going to extend the notions introduced in Section 1 to the case when ℝ . is replaced by an arbitrary finite-dimensional Euclidean space ℝ..deriver 发表于 2025-3-24 08:08:34
http://reply.papertrans.cn/39/3810/380956/380956_16.pngbrachial-plexus 发表于 2025-3-24 11:50:32
http://reply.papertrans.cn/39/3810/380956/380956_17.pngevasive 发表于 2025-3-24 15:55:27
http://reply.papertrans.cn/39/3810/380956/380956_18.png售穴 发表于 2025-3-24 20:22:43
Infinite-Dimensional Gaussian Distributions,.. For a numerical random variable ξ defined on a probability space (Ω,.,ℙ), the basic probability characteristics: mean, variance, characteristic function, etc., can be easily calculated given the distribution of this random variable, that is a measure P defined on ℝ. by the formula ..商议 发表于 2025-3-25 01:51:35
The Large Deviations Principle,Let {ξ ., . ∈ .} be a random function whose sample functions are bounded.Tracheotomy 发表于 2025-3-25 06:19:14
Exact Asymptotics of Large Deviations,Our consideration so far has been restricted to studying the . asymptotics of large deviations. We now focus on the methods which, in some cases, enable to find the . asymptotics.不足的东西 发表于 2025-3-25 08:27:49
Edward Blair,Kathleen Williamson ξ. If . ⊂ ℝ., the term ‘.’ (or simply .) is used instead of the term ‘random function’; if . ⊂ ℝ., . > 1, the expression ‘.’ is used. In these cases, the elements of . are interpreted as the time instants or space points, respectively. If . = ℕ, a random function ξ is called the ..paleolithic 发表于 2025-3-25 15:08:54
http://reply.papertrans.cn/39/3810/380956/380956_23.png恶名声 发表于 2025-3-25 17:19:27
https://doi.org/10.1007/978-3-031-05789-2the kernel, some linear subspace .. ⊂ .. Although this kernel has usually measure zero, it is very important for studying various properties of the measure. For instance, having shifted . by an arbitrary vector which belongs to .., we obtain a measure which is absolutely continuous with respect to .