4 problems

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Boundary bias cancellation conjecture for Dirichlet-kernel local linear smoothing
Let $\hat{m}^{(\mathrm{LL})}_{n,b}$ and $\hat{m}^{(\mathrm{NW})}_{n,b}$ denote the local linear and Nadaraya–Watson estimators with Dirichlet kernel, respectively. Near the boundar…
Conjectureopenkernel-smoothing nonparametric-regression simplexarXiv posted 2 days ago
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Kernel-smoothing conjecture for assumptions A9 and A12
The paper considers a cross-validated targeted maximum likelihood estimator based on an approximating family indexed by a smoothing parameter, with assumptions A9 and A12 concernin…
Conjectureopenkernel-smoothing semiparametric-statistics targeted-maximum-likelihoodarXiv posted 2 days ago
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Convergence conjecture for backfitting in general additive models
Consider backfitting estimation for general additive models, using kernel-based estimation methods such as Nadaraya–Watson or local polynomial smoothing. Backfitting convergence co…
Conjectureopenadditive-models backfitting kernel-smoothingarXiv posted 2 days ago
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OR's weak-condition convergence conjecture for backfitting algorithms
Consider the additive model … with $E(\varepsilon\mid U,V)=0$ almost surely, and estimate its component functions by backfitting, using kernel smoothing. OR's convergence conjectur…
Conjectureopenadditive-models backfitting kernel-smoothingarXiv posted 2 days ago

Boundary bias cancellation conjecture for Dirichlet-kernel local linear smoothing