2 problems

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Łatuszyński's divergent random-walk sequence conjecture
Łatuszyński's conjecture. There exists a sequence $\{a_n\}$ such that
Conjectureopenadaptive-mcmc probability random-walksarXiv posted 2 days ago
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Asymptotic normality conjecture for the adaptive kernel variance estimator
Let $\Gamma_n^2(h)$ be the kernel estimator of the asymptotic variance associated with the function $h$ , let $G_{\theta_{k-1}}(X_{k-1},X_k)$ be the corresponding martingale increme…
Conjectureopenadaptive-mcmc asymptotic-normality variance-estimationarXiv posted 2 days ago

Łatuszyński's divergent random-walk sequence conjecture