24 апр. 2020 г. · The definition of tight measure is defined below : A sequence of measures μn on a metric space M is said to be tight if for every ε>0, there ...

3 окт. 2020 г. · It is in this sense that the Xi are "tight." Intuitively, you can think of it as saying that the Xi don't spread out too fast with i.

11 февр. 2019 г. · This is the definition I have of tightness of a set of measures on a metric space: Let (X,d) be a metric space.

19 июн. 2019 г. · I interpret this as saying the measures can be well-approximated by compact sets, which allows you to treat them as though they are bounded.

10 февр. 2015 г. · A sequence of probability measures μn is said to be tight if for each ϵ there exists a finite interval (a,b] such that μ((a,b])>1−ϵ For all n.

24 июн. 2019 г. · Concretely and intuitively, this means that the global behavior of (μt)t>0 is not too far away from that over a compact set.

12 февр. 2022 г. · Your first proposal is not equivalent to tightness. A family consisting of just copies of a single N(0,1) random variable is tight but does ...

28 янв. 2012 г. · a measure is said to be tight, if for all ε>0, there is some compact subset K of X such that μ(X−K)<ε.

20 мая 2023 г. · A sufficient condition for tightness of probability measures · functional-analysis · probability-theory · weak-convergence · weak-topology.

7 мая 2021 г. · I want to show that a collection of probability distributions {μ1,...,μn} on Rd is tight. I have managed to prove that every single measure is ...