Adaptive confidence sets in $$L^2$$

Adaptive Nonparametric Confidence Sets

We construct honest confidence regions for a Hilbert space-valued parameter in various statistical models. The confidence sets can be centered at arbitrary adaptive estimators, and have diameter which adapts optimally to a given selection of models. The latter adaptation is necessarily limited in scope. We review the notion of adaptive confidence regions, and relate the optimal rates of the dia...

Clustering Confidence Sets

We propose a method for clustering a large set of observed objects with different noise levels based on their confidence set estimates rather than their point estimates. The minimal and maximal distances between confidence sets provide confidence intervals for the true distances between objects. The upper bounds of these confidence intervals are used to minimize the within clustering variabilit...

biaccessibility in quadratic julia sets

در این رساله برای چندجمله ای های درجه ی دوم با مجموعه ی ژولیای همبند موضعی; ثابت خواهیم کرد: اندازه برولین مجموعه نقاط از دو سو دست یافتنی در چندجمله ای های درجه دو برابر با صفر است مگر چندجمله ای چبی شف که برابر با یک است. و برای چندجمله ای های درجه دوم با نقاط ثابت خنثی غیر گویا ثابت خواهیم کرد: 1)هر نقطه ی از دو سو دست یافتنی در حالت زیگل نهایتا به نقطه ی بحرانی و در حالت کرمر به نقطه ث...

Conceptualizing Willingness to Communicate in a L2: A Situational Model of L2 Confidence and Affiliation

Confidence Sets for Network Structure

Latent variable models are frequently used to identify structure in dichotomous network data, in part because they give rise to a Bernoulli product likelihood that is both well understood and consistent with the notion of exchangeable random graphs. In this article we propose conservative confidence sets that hold with respect to these underlying Bernoulli parameters as a function of any given ...