2 problems

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Conjectured $n^{1/3}$ order for the number of Grenander-type estimator jumps
Let $N_n-1$ be the number of jump points of the Grenander-type estimator $\widehat f_n$ , so that $N_n\geqslant 1$ and the ordered jump points are…
Conjectureopengrenander-estimators nonparametric-statisticsarXiv posted 2 days ago
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Whole-interval limit distribution conjecture for modified Grenander-type estimators
Let $f$ be the monotone function and let $\widehat f_n$ be the Grenander-type estimator considered in the paper. Let $\widetilde f_n$ denote either the modified estimator in Kuliko…
Conjectureopengrenander-estimators limit-distributions nonparametric-statisticsarXiv posted 2 days ago

Conjectured n1/3n^{1/3}n1/3 order for the number of Grenander-type estimator jumps