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We present a new method in problems where estimates are needed for finite population domains with small or even zero sample sizes. In contrast to known estimation methods, an auxiliary information is used to model sizes of population units…

Statistics Theory · Mathematics 2014-06-23 Andrius Čiginas , Tomas Rudys

Online advertising has been introduced as one of the most efficient methods of advertising throughout the recent years. Yet, advertisers are concerned about the efficiency of their online advertising campaigns and consequently, would like…

Machine Learning · Computer Science 2013-05-15 Ali Jalali , Santanu Kolay , Peter Foldes , Ali Dasdan

Index insurance has been promoted as a promising solution for reducing agricultural risk compared to traditional farm-based insurance. By linking payouts to a regional factor instead of individual loss, index insurance reduces monitoring…

General Economics · Economics 2021-11-09 Matthieu Stigler , David Lobell

We study the empirical likelihood approach to construct confidence intervals for the optimal value and the optimality gap of a given solution, henceforth quantify the statistical uncertainty of sample average approximation, for optimization…

Methodology · Statistics 2016-10-25 Henry Lam , Enlu Zhou

The paper delineates a proper statistical setting for defining the sampling design for a small area estimation problem. This problem is often treated only via indirect estimation using the values of the variable of interest also from…

Methodology · Statistics 2023-03-16 Piero Demetrio Falorsi , Stefano Falorsi , Vincenzo Nardelli , Paolo Righi

We consider the problem of integrating a small probability sample (ps) and a non-probability sample (nps). By definition, for the nps, there are no survey weights, but for the ps, there are survey weights. The key issue is that the nps,…

Methodology · Statistics 2023-05-17 Balgobin Nandram , JNK Rao

Propensity score plays a central role in causal inference, but its use is not limited to causal comparisons. As a covariate balancing tool, propensity score can be used for controlled descriptive comparisons between groups whose memberships…

Methodology · Statistics 2022-09-09 Fan Li , Fan Li

Estimating prevalence, the fraction of a population with a certain medical condition, is fundamental to epidemiology. Traditional methods rely on classification of test samples taken at random from a population. Such approaches to…

Methodology · Statistics 2022-03-25 Paul Patrone , Anthony Kearsley

While there exists a large amount of literature on the general challenges of and best practices for trustworthy online A/B testing, there are limited studies on sample size estimation, which plays a crucial role in trustworthy and efficient…

Methodology · Statistics 2023-08-21 Jing Zhou , Jiannan Lu , Anas Shallah

We use the theory of coherent measures to look at the problem of surplus sharing in an insurance business. The surplus share of an insured is calculated by the surplus premium in the contract. The theory of coherent risk measures and the…

Mathematical Finance · Quantitative Finance 2018-11-07 Delia Coculescu , Freddy Delbaen

In this paper, we develop an exact method for the determination of the minimum sample size for estimating the proportion of a finite population with prescribed margin of error and confidence level. By characterizing the behavior of the…

Statistics Theory · Mathematics 2007-08-03 Xinjia Chen

Selection on moral hazard represents the tendency to select a specific health insurance coverage depending on the heterogeneity in utilisation ''slopes''. I use data from the Swiss Household Panel and from publicly available regulatory data…

General Economics · Economics 2023-10-03 Francetic Igor

Given a discrete distribution, an interesting problem is to determine the minimum size of a random sample drawn from this distribution, in order to observe a given number of different records. This problem is related with many applied…

Probability · Mathematics 2012-09-21 Marco Ferrante , Nadia Frigo

In this paper, a new sampling scheme of the near field radiated by a planar source is proposed and assessed. More in detail, the paper shows a uniform sampling criterion that allows representing the near field over a plane with a number of…

Signal Processing · Electrical Eng. & Systems 2024-02-13 Raffaele Moretta , Fabio Pascariello , Giovanni Petraglia , Maurizio Feo , Maria Antonia Maisto

Rationing of healthcare resources has emerged as an important issue, which has been discussed by medical experts, policy-makers, and the general public. We consider a rationing problem where medical units are to be allocated to patients.…

Computer Science and Game Theory · Computer Science 2021-09-28 Haris Aziz , Florian Brandl

The problem of recovering (count and sum) range queries over multidimensional data only on the basis of aggregate information on such data is addressed. This problem can be formalized as follows. Suppose that a transformation T producing a…

Databases · Computer Science 2007-05-23 Francesco Buccafurri , Filippo Furfaro , Domenico Sacca'

Nonparametric estimators of the mean total cost have been proposed in a variety of settings. In clinical trials it is generally impractical to follow up patients until all have responded, and therefore censoring of patient outcomes and…

Applications · Statistics 2008-12-18 Joseph C. Gardiner , Lin Liu , Zhehui Luo

Accurately measuring discrimination is crucial to faithfully assessing fairness of trained machine learning (ML) models. Any bias in measuring discrimination leads to either amplification or underestimation of the existing disparity.…

Machine Learning · Computer Science 2023-06-09 Sami Zhioua , Rūta Binkytė

Sequential Multiple Assignment Randomized Trials (SMARTs) are considered the gold standard for estimation and evaluation of treatment regimes. SMARTs are typically sized to ensure sufficient power for a simple comparison, e.g., the…

Some classical uncertainty quantification problems require the estimation of multiple expectations. Estimating all of them accurately is crucial and can have a major impact on the analysis to perform, and standard existing Monte Carlo…

Methodology · Statistics 2022-12-02 Julien Demange-Chryst , François Bachoc , Jérôme Morio
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