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The authors mention work of Christensen, Mycielski, Tsujii, and others which is closely related to a survey article by the first author [math.FA/9210220].

Functional Analysis · Mathematics 2008-02-03 Brian R. Hunt , Tim Sauer , James A. Yorke

In many hypothesis testing applications, we have mixed priors, with well-motivated informative priors for some parameters but not for others. The Bayesian methodology uses the Bayes factor and is helpful for the informative priors, as it…

Data Analysis, Statistics and Probability · Physics 2022-10-05 Jakob Robnik , Uroš Seljak

Periodic nonuniform sampling has been considered in literature as an effective approach to reduce the sampling rate far below the Nyquist rate for sparse spectrum multiband signals. In the presence of non-ideality the sampling parameters…

Systems and Control · Computer Science 2010-10-12 Moslem Rashidi , Sara Mansouri

The two statistical methods, namely the frequentist and the Bayesian methods, are both commonly used for probabilistic inference in many scientific situations. However, it is not straightforward to interpret the result of one approach in…

Data Analysis, Statistics and Probability · Physics 2023-09-01 Alan H. Guth , Mohammad Hossein Namjoo

We review an established Bayesian sampling method called sampling/importance resampling and highlight situations in nuclear theory when it can be particularly useful. To this end we both analyse a toy problem and demonstrate realistic…

Nuclear Theory · Physics 2023-01-18 Weiguang Jiang , Christian Forssén

This perspective chapter briefly surveys: (1) past growth in the use of Bayesian methods in astrophysics; (2) current misconceptions about both frequentist and Bayesian statistical inference that hinder wider adoption of Bayesian methods by…

Instrumentation and Methods for Astrophysics · Physics 2016-12-07 Thomas J. Loredo

Comment on ``Gibbs Sampling, Exponential Families and Orthogonal Polynomials'' [arXiv:0808.3852]

Methodology · Statistics 2008-08-29 Patrizia Berti , Guido Consonni , Luca Pratelli , Pietro Rigo

Discussion of "Cross-Covariance Functions for Multivariate Geostatistics" by Genton and Kleiber [arXiv:1507.08017].

Methodology · Statistics 2015-07-31 Moreno Bevilacqua , Amanda S. Hering , Emilio Porcu

In this paper we have adapted Bahl and Tuteja (1991) estimator in systematic sampling using auxiliary information. Using Bedi (1996) transformation an improved estimator is also proposed under systematic sampling. The expressions of bias…

Applications · Statistics 2013-07-22 Rajesh Singh , Sachin Malik , Viplav K. Singh

Comment on ``On Random Scan Gibbs Samplers'' [arXiv:0808.3852]

Methodology · Statistics 2008-08-29 Richard A. Levine , George Casella

We propose modified frequentist definition for the determination of confidence intervals for the case of Poisson statistics. Namely, we require that 1-\beta' \geq \sum_{n=o}^{n_{obs}+k} P(n|\lambda) \geq \alpha'. We show that this…

Data Analysis, Statistics and Probability · Physics 2012-06-19 Sergey Bitioukov , Nikolai Krasnikov

In this paper we present a frequentist-Bayesian hybrid method for estimating covariances of unfolded distributions using pseudo-experiments. The method is compared with other covariance estimation methods using the unbiased Rao-Cramer bound…

Methodology · Statistics 2021-10-19 Pim Jordi Verschuuren

Comment on ``Gibbs Sampling, Exponential Families, and Orthogonal Polynomials'' [arXiv:0808.3852]

Methodology · Statistics 2008-08-29 Galin L. Jones , Alicia A. Johnson

Rejoinder on Causal Inference Through Potential Outcomes and Principal Stratification: Application to Studies with ``Censoring'' Due to Death by D. B. Rubin [math.ST/0612783]

Statistics Theory · Mathematics 2007-06-13 Donald B. Rubin

When a model may be fitted separately to each individual statistical unit, inspection of the point estimates may help the statistician to understand between-individual variability and to identify possible relationships. However, some…

Classical randomized experiments, equipped with randomization-based inference, provide assumption-free inference for treatment effects. They have been the gold standard for drawing causal inference and provide excellent internal validity.…

Methodology · Statistics 2021-09-22 Zihao Yang , Tianyi Qu , Xinran Li

A bibliographic database containing studies on recurrence plots and related methods is analyzed from various perspectives. This allows a detailed view of the field's development, showcasing the continuous growth in the method's popularity,…

Physics and Society · Physics 2025-08-29 Norbert Marwan

From social networks to P2P systems, network sampling arises in many settings. We present a detailed study on the nature of biases in network sampling strategies to shed light on how best to sample from networks. We investigate connections…

Social and Information Networks · Computer Science 2011-09-20 Arun S. Maiya , Tanya Y. Berger-Wolf

Rejoinder of "Treelets--An adaptive multi-scale basis for spare unordered data" [arXiv:0707.0481]

Applications · Statistics 2008-07-28 Ann B. Lee , Boaz Nadler , Larry Wasserman

Rejoinder to ``The Dantzig selector: Statistical estimation when $p$ is much larger than $n$'' [math/0506081]

Statistics Theory · Mathematics 2008-12-18 Emmanuel Candès , Terence Tao
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