Scoring predictions at extreme quantiles

نویسندگان

چکیده

Prediction of quantiles at extreme tails is interest in numerous applications. Extreme value modelling provides various competing predictors for this point prediction problem. A common method assessment a set to evaluate their predictive performance given situation. However, due the nature inference problem, it can be possible that predicted are not seen historical records, particularly when sample size small. This situation poses problem validation with its realization. In article, we propose two non-parametric scoring approaches assess quantile mechanisms. The proposed methods based on predicting sequence equally different parts data. We then use function predictors. compared conventional and superiority former demonstrated simulation study. applied analyze cyber Netflow data from Los Alamos National Laboratory daily precipitation station California available Global Historical Climatology Network.

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

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Nonparametric Estimation of Extreme Conditional Quantiles

The estimation of extreme conditional quantiles is an important issue in different scientific disciplines. Up to now, the extreme value literature focused mainly on estimation procedures based on i.i.d. samples. On the other hand, quantile regression based procedures work well for estimation within the data range i.e. the estimation of nonextreme quantiles but break down when main interest is i...

متن کامل

Intriguing Properties of Extreme Geometric Quantiles

• Central properties of geometric quantiles have been well-established in the recent statistical literature. In this study, we try to get a grasp of how extreme geometric quantiles behave. Their asymptotics are provided, both in direction and magnitude, under suitable moment conditions, when the norm of the associated index vector tends to one. Some intriguing properties are highlighted: in par...

متن کامل

Estimating extreme quantiles under random truncation

The goal of this paper is to provide estimators of the tail index and extreme quantiles of a heavy-tailed random variable when it is righttruncated. The weak consistency and asymptotic normality of the estimators are established. The finite sample performance of our estimators is illustrated on a simulation study and we showcase our estimators on a real set of failure data. keywords: Asymptotic...

متن کامل

Functional kernel estimators of conditional extreme quantiles

We address the estimation of “extreme” conditional quantiles i.e. when their order converges to one as the sample size increases. Conditions on the rate of convergence of their order to one are provided to obtain asymptotically Gaussian distributed kernel estimators. A Weissman-type estimator and kernel estimators of the conditional tailindex are derived, permitting to estimate extreme conditio...

متن کامل

Functional nonparametric estimation of conditional extreme quantiles

− We address the estimation of quantiles from heavy-tailed distributions when functional covariate information is available and in the case where the order of the quantile converges to one as the sample size increases. Such ”extreme” quantiles can be located in the range of the data or near and even beyond the boundary of the sample, depending on the convergence rate of their order to one. Nonp...

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

ژورنال

عنوان ژورنال: AStA Advances in Statistical Analysis

سال: 2022

ISSN: ['1863-8171', '1863-818X']

DOI: https://doi.org/10.1007/s10182-021-00421-9