Non-Asymptotic Confidence Sets for Circular Means

نویسندگان

  • Thomas Hotz
  • Florian Kelma
  • Johannes Wieditz
چکیده

The mean of data on the unit circle is defined as the minimizer of the average squared Euclidean distance to the data. Based on Hoeffding’s mass concentration inequalities, non-asymptotic confidence sets for circular means are constructed which are universal in the sense that they require no distributional assumptions. These are then compared with asymptotic confidence sets in simulations and for a real data set.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Inference for the Type-II Generalized Logistic Distribution with Progressive Hybrid Censoring

This article presents the analysis of the Type-II hybrid progressively censored data when the lifetime distributions of the items follow Type-II generalized logistic distribution. Maximum likelihood estimators (MLEs) are investigated for estimating the location and scale parameters. It is observed that the MLEs can not be obtained in explicit forms. We provide the approximate maximum likelihood...

متن کامل

Global Non-asymptotic Confidence Sets for General Linear Models

In this paper we consider the problem of constructing confidence sets for the parameters of general linear models. Based on subsampling techniques and building on earlier exact finite sample results due to Hartigan, we compute the exact probability that the true parameters belong to certain regions in the parameter space. By intersecting these regions, a confidence set containing the true param...

متن کامل

Robust Confidence Sets in the Presence of Weak Instruments

This paper considers instrumental variable regression with a single endogenous variable and the potential presence of weak instruments. I construct confidence sets for the coefficient on the single endogenous regressor by inverting tests robust to weak instruments. I suggest a numerically simple algorithm for finding the Conditional Likelihood Ratio (CLR) confidence sets. The full descriptions ...

متن کامل

Statistical Inference in a Simple Linear Model Under Microaggregation

A problem statistical offices are increasingly faced with is guaranteeing confidentiality when releasing microdata sets. One method to provide safe microdata is to reduce the information content of a data set by means of masking procedures. A widely discussed masking procedure is microaggregation, a technique where observations are grouped and replaced with their corresponding group means. Howe...

متن کامل

Stimation of T Ime - D Ependent C Overage

Abstract. It is well-known that the dependability that can be achieved by a fault-tolerant system is particularly sensitive to both the asymptotic value of coverage and to the time distribution of coverage. However, most previous work on coverage evaluation by statistical processing of the results of fault-injection experiments has only been concerned with estimating asymptotic coverage. In thi...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:
  • Entropy

دوره 18  شماره 

صفحات  -

تاریخ انتشار 2016