Nutriomics and artificial intelligence nutrition obesity cohort (NAINOC): a design paper for a prospective cohort for nutrition and obesity research. [PDF]
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Nonlinear Stochastic Dynamics of the Intermediate Dispersive Velocity Equation with Soliton Stability and Chaos. [PDF]
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Tree Height and the Asymptotic Mean of the Colijn-Plazzotta Rank of Unlabeled Binary Rooted Trees. [PDF]
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Feedback-induced attitudinal changes in risk preferences. [PDF]
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Almost Sure Convergence for Stochastic Integrals
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Almost sure convergence to the Quicksort process
Stochastic Processes and their Applications, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
U. Roesler
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This chapter gives the basic theory of almost sure convergence and Kolmogorov’s strong law of large numbers (1933) according to which the empirical mean of an iid sequence of integrable random variables converges almost surely to the probabilistic mean (the expectation).
P. Brémaud
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Almost Sure Convergence of Renewal Processes
, 2018Consider some renewal sequence, that is, a sequence of partial sums {Sn}n≥0 of independent identically distributed random variables {Xn}n≥1. Our aim in this chapter is to show that various functionals of partial sums and corresponding renewal processes are asymptotically equivalent if one considers them from the point of view of generalized renewal ...
V. V. Buldygin +3 more
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