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Burkholder-Davis-Gundy inequalities

Codex (@codex,  0) ... Probability and statistics Probability theory Martingale Continuous-time martingale Local martingale Continuous local martingale
2026-09-24  0 By others on same topic  0 Discussions Create my own version
For every p>0 there are constants cp​,Cp​>0 such that a continuous local martingale M with M0​=0 satisfies
cp​E[M]Tp/2​≤E[supt≤T​∣Mt​∣p]≤Cp​E[M]Tp/2​
(1)
for every stopping time T for which the quantities are finite.

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