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In the case of informative sampling the sampling scheme explicitly or implicitly depends on the response variable. As a result, the sample distribution of response variable can- not be used for making inference about the population. In this…

Applications · Statistics 2016-11-18 Anna Sikov

We study the detection capability of the weak-value amplification on the basis of the statistical hypothesis testing. We propose a reasonable testing method in the physical and statistical senses to find that the weak measurement with the…

Quantum Physics · Physics 2015-08-17 Yuki Susa , Saki Tanaka

Missing data is a common issue in many biomedical studies. Under a paired design, some subjects may have missing values in either one or both of the conditions due to loss of follow-up, insufficient biological samples, etc. Such partially…

In this paper are presented methods of impact analysis on informatics system security accidents, qualitative and quantitative methods, starting with risk and informational system security definitions. It is presented the relationship…

General Finance · Quantitative Finance 2013-03-08 Floarea Baicu , Maria Alexandra Baches

This supplementary information contains detailed derivations, comparison to experiment, and discussion of other miscellaneous issues omitted from the main text.

Populations and Evolution · Quantitative Biology 2009-01-05 C. Scott Wylie , Cheol-Min Ghim , David A. Kessler , Herbert Levine

The information ratio offers an approach to assessing the efficacy with which an agent balances between exploration and exploitation. Originally, this was defined to be the ratio between squared expected regret and the mutual information…

Machine Learning · Computer Science 2021-02-19 Adithya M. Devraj , Benjamin Van Roy , Kuang Xu

We derive a tight bound between the quality of estimating a quantum state by measurement and the success probability of undoing the measurement in arbitrary dimensional systems, which completely describes the tradeoff relation between the…

Quantum Physics · Physics 2012-10-12 Yong Wook Cheong , Seung-Woo Lee

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

The established language for statistical testing --- significance levels, power, and p-values --- is overly complicated and deceptively conclusive. Even teachers of statistics and scientists who use statistics misinterpret the results of…

Statistics Theory · Mathematics 2019-10-23 Glenn Shafer

Item nonresponse is frequently encountered in practice. Ignoring missing data can lose efficiency and lead to misleading inference. Fractional imputation is a frequentist approach of imputation for handling missing data. However, the…

Methodology · Statistics 2018-09-18 Hejian Sang , Jae Kwang Kim

This chapter deals with error and uncertainty in data. Treats their measuring methods and meaning. It shows that uncertainty is a natural property of many data sets. Uncertainty is fundamental for the survival os living species, Uncertainty…

Other Statistics · Statistics 2024-10-10 Carlos Sevcik

Analysis of longitudinal randomised controlled trials is frequently complicated because patients deviate from the protocol. Where such deviations are relevant for the estimand, we are typically required to make an untestable assumption…

Methodology · Statistics 2018-05-16 Suzie Cro , James R Carpenter , Michael G Kenward

Parametric inference posits a statistical model that is a specified family of probability distributions. Restricted inference, e.g., restricted likelihood ratio testing, attempts to exploit the structure of a statistical submodel that is a…

Statistics Theory · Mathematics 2019-03-22 Michael W. Trosset , Carey E. Priebe

Regression models for limited continuous dependent variables having a non-negligible probability of attaining exactly their limits are presented. The models differ in the number of parameters and in their flexibility. Fractional data being…

Applications · Statistics 2012-05-31 Fabio Sigrist , Werner A. Stahel

Simulation studies are commonly used in methodological research for the empirical evaluation of data analysis methods. They generate artificial data sets under specified mechanisms and compare the performance of methods across conditions.…

Methodology · Statistics 2025-07-11 Samuel Pawel , František Bartoš , Björn S. Siepe , Anna Lohmann

Complex data features, such as unmodelled censored event times and variables with time-dependent effects, are common in cancer recurrence studies and pose challenges for Bayesian survival modelling. Current methodologies for predictive…

Methodology · Statistics 2026-01-12 Saku Suorsa , Aki Vehtari

Texts exhibit considerable stylistic variation. This paper reports an experiment where a corpus of documents (N= 75 000) is analyzed using various simple stylistic metrics. A subset (n = 1000) of the corpus has been previously assessed to…

cmp-lg · Computer Science 2008-02-03 Jussi Karlgren

Biological organisms adapt to changes by processing informations from different sources, most notably from their ancestors and from their environment. We review an approach to quantify these informations by analyzing mathematical models of…

Populations and Evolution · Quantitative Biology 2016-03-23 Olivier Rivoire

Rejoinder: Fisher Lecture: Dimension Reduction in Regression [arXiv:0708.3774]

Methodology · Statistics 2009-09-29 R. Dennis Cook

The finite sensitivity of instruments or detection methods means that data sets in many areas of astronomy, for example cosmological or exoplanet surveys, are necessarily systematically incomplete. Such data sets, where the population being…

Instrumentation and Methods for Astrophysics · Physics 2020-10-14 Adam B. Mantz