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The standard technique for measurement of random uncertainties of star formation histories (SFHs) is the bootstrap Monte Carlo, in which the color-magnitude diagram (CMD) is repeatedly resampled. The variation in SFHs measured from the…

Instrumentation and Methods for Astrophysics · Physics 2015-06-16 Andrew E. Dolphin

The limiting distribution for M-estimates in a non-stationary autoregressive model with heavy-tailed error is computationally intractable. To make inferences based on the M-estimates, the bootstrap procedure can be used to approximate the…

Statistics Theory · Mathematics 2016-03-09 Maryam Sohrabi , Mahmoud Zarepour

The prompt neutron period (the negative reciprocal of the prompt neutron decay constant) can be estimated using the Rossi-alpha technique that is predicated on fitting Rossi-alpha histograms and of interest in nuclear criticality safety and…

Data Analysis, Statistics and Probability · Physics 2020-10-15 M. Y. Hua , C. A. Bravo , R. M. Marchie , J. D. Hutchinson , G. E. McKenzie , S. A. Pozzi

We propose a bootstrap procedure for data that may exhibit clustering in two or more dimensions. We use insights from the theory of generalized U-statistics to analyze the large-sample properties of statistics that are sample averages from…

Methodology · Statistics 2017-12-06 Konrad Menzel

In Change point detection task Likelihood Ratio Test (LRT) is sequentially applied in a sliding window procedure. Its high values indicate changes of parametric distribution in the data sequence. Correspondingly LRT values require…

Statistics Theory · Mathematics 2017-10-23 Nazar Buzun , Valeriy Avanesov

Insurers are faced with the challenge of estimating the future reserves needed to handle historic and outstanding claims that are not fully settled. A well-known and widely used technique is the chain-ladder method, which is a deterministic…

Methodology · Statistics 2017-01-17 Kris Peremans , Pieter Segaert , Stefan Van Aelst , Tim Verdonck

We present a microscopic model for coherent pion production off nuclei induced by neutrinos. This model is built upon a model for single nucleon processes that goes beyond the usual Delta dominance by including non resonant background…

Nuclear Theory · Physics 2010-01-15 M. Valverde , J. E. Amaro , E. Hernandez , J. Nieves

The bootstrap, introduced by Efron (1982), has become a very popular method for estimating variances and constructing confidence intervals. A key insight is that one can approximate the properties of estimators by using the empirical…

Methodology · Statistics 2019-01-29 Guido Imbens , Konrad Menzel

We propose a new method to construct confidence intervals for quantities that are associated with a stationary time series, which avoids direct estimation of the asymptotic variances. Unlike the existing tuning-parameter-dependent…

Methodology · Statistics 2010-05-13 Xiaofeng Shao

Analysis of data involving nuclei far from stability often requires optical potential (OP) for neutron scattering. Since neutron data is seldom available, while proton scattering data is more abundant, it is useful to have estimates of the…

Nuclear Experiment · Physics 2015-06-04 R. P. DeVito , Dao T. Khoa , Sam M. Austin , U. E. P. Berg , Bui Minh Loc

In this work, we develop machine learning techniques to study nonperturbative scattering amplitudes. We focus on the two-to-two scattering amplitude of identical scalar particles, setting the double discontinuity to zero as a simplifying…

High Energy Physics - Theory · Physics 2024-12-13 Mehmet Asim Gumus , Damien Leflot , Piotr Tourkine , Alexander Zhiboedov

We study coherent pion production in neutrino-nucleus scattering in the energy region relevant to neutrino oscillation experiments of current interest. Our approach is based on a combined use of the Sato-Lee model of electroweak pion…

Nuclear Theory · Physics 2010-04-14 S. X. Nakamura , T. Sato , T. -S. H. Lee , B. Szczerbinska , K. Kubodera

Recently, global pulsar timing arrays have released results from searching for a nano-Hertz gravitational wave background signal. Although there has not been any definite evidence of the presence of such a signal in residuals of pulsar…

General Relativity and Quantum Cosmology · Physics 2022-10-12 A. Samajdar , G. Shaifullah , A. Sesana , J. Antoniadis , M. Burgay , D. J. Champion , S. Chen , M. Kramer , J. W. McKee , M. B. Mickaliger , E. Van der Wateren

General positivity constraints linking various powers of observables in energy eigenstates can be used to sharply locate acceptable regions for the energy eigenvalues, provided that efficient recursive methods are available to calculate the…

High Energy Physics - Theory · Physics 2023-12-22 Zane Ozzello , Yannick Meurice

We develop and implement a novel fast bootstrap for dependent data. Our scheme is based on the i.i.d. resampling of the smoothed moment indicators. We characterize the class of parametric and semi-parametric estimation problems for which…

Methodology · Statistics 2022-01-19 Davide La Vecchia , Alban Moor , Olivier Scaillet

We propose a new adequacy test and a graphical evaluation tool for nonlinear dynamic models. The proposed techniques can be applied in any setup where parametric conditional distribution of the data is specified, in particular to models…

Statistics Theory · Mathematics 2017-06-02 Igor L. Kheifets

Statistics derived from the eigenvalues of sample covariance matrices are called spectral statistics, and they play a central role in multivariate testing. Although bootstrap methods are an established approach to approximating the laws of…

Methodology · Statistics 2019-02-21 Miles Lopes , Andrew Blandino , Alexander Aue

We propose using the frequency-domain bootstrap (FDB) to estimate errors of modeling parameters when the modeling error is itself a major source of uncertainty. Unlike the usual bootstrap or the simple $\chi^2$ analysis, the FDB can take…

Nuclear Theory · Physics 2017-12-27 G. F. Bertsch , Derek Bingham

Existing frequency domain methods for bootstrapping time series have a limited range. Consider for instance the class of spectral mean statistics (also called integrated periodograms) which includes many important statistics in time series…

Methodology · Statistics 2018-06-19 Marco Meyer , Efstathios Paparoditis , Jens-Peter Kreiss

Numerical simulation of pattern formation on plane target surfaces undergoing ion-beam sputtering is carried out. Base of the mathematical model of target ion-sputtering is nonlinear evolutionary equation in which the erosion velocity…

Adaptation and Self-Organizing Systems · Physics 2014-09-25 Nikolay A. Kudryashov , Mikhail V. Skachkov