If 𝐹𝑛⇒𝐹 in distribution then there exist random variables 𝑌𝑛 with cdf 𝐹𝑛 such that 𝑌𝑛→𝑌 almost surely. Proof: Portmanteau Lemmas, 1. 𝑋𝑛⇒𝑋∞ iff for every bounded continuous function 𝑔, we have 𝐸𝑔(𝑋𝑛)→𝐸𝑔(𝑋∞). 2. 𝑋𝑛⇒𝑋∞ iff for every bounded Lipschitz continuous function 𝑔, we have 𝐸𝑔(𝑋𝑛)→𝐸𝑔(𝑋∞). A function 𝑓 is a Lipschitz function if ∃𝐾 such th....
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Amund er en erfaren kameramann og dykker. Han startet sin dykkerreise i en alder av 14 og oppnådde sin BSAC/CMAS-lisens i Kenya i 1982. Opplært som 16/35 mm filmkameramann ved The London Film School 1990 - 92, våget han seg inn i forskjellige kameraer, redigeringssystemer og film/TV-produksjoner gjennom årene..
