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Convergence of Random Variables and Measurable Functions
1997In what follows, the results will be stated and proved for probability spaces. Their extension to general σ-finite measure spaces are to be taken for granted unless commented upon. The probabilist’s notation E[X] for the integral ∫ XdP or ∫ Xdµ will be used frequently.
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On Convergence of Random Variables and Distributions
2013In this chapter, several different types of convergence used in Probability Theory are defined and relationships between them are elucidated. Section 6.1 deals with convergence in probability and convergence with probability one (the almost sure convergence), presenting some criteria for them and, in particular, discussing the concept of Cauchy ...
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Microbial diversity in extreme environments
Nature Reviews Microbiology, 2021Wen-Sheng Shu, Li-Nan Huang
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Mechanical properties and deformation mechanisms of gradient nanostructured metals and alloys
Nature Reviews Materials, 2020Xiaoyan Li, Lei Lu, Jianguo Li
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Metallurgy, mechanistic models and machine learning in metal printing
Nature Reviews Materials, 2020Tarasankar DebRoy +2 more
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