Search results for "weak dependence"

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BICKEL–ROSENBLATT TEST FOR WEAKLY DEPENDENT DATA

2012

The aim of this paper is to analyze the Bickel–Rosenblatt test for simple hypothesis in case of weakly dependent data. Although the test has nice theoretical properties, it is not clear how to implement it in practice. Choosing different band-width sequences first we analyze percentage rejections of the test statistic under H0 by some empirical simulation analysis. This can serve as an approximate rule for choosing the bandwidth in case of simple hypothesis for practical implementation of the test. In the recent paper [12] a version of Neyman goodness-of-fit test was established for weakly dependent data in the case of simple hypotheses. In this paper we also aim to compare and discuss the …

Score testgoodness-of-fitBickel-Rosenblatt testnonparametric density estimationNonparametric density estimationweak dependenceExact testGoodness of fitModeling and SimulationQA1-939Neyman's smooth testEconometricsChi-square testTest statisticApplied mathematicsGoldfeld–Quandt testMathematicsAnalysisMathematicsMathematical Modelling and Analysis
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Jet fragmentation transverse momentum distributions in pp and p-Pb collisions at √s, √sNN = 5.02 TeV

2021

Jet fragmentation transverse momentum (jT) distributions are measured in proton-proton (pp) and proton-lead (p-Pb) collisions at √sNN = 5.02 TeV with the ALICE experiment at the LHC. Jets are reconstructed with the ALICE tracking detectors and electromagnetic calorimeter using the anti-kT algorithm with resolution parameter R = 0.4 in the pseudorapidity range |η| < 0.25. The jT values are calculated for charged particles inside a fixed cone with a radius R = 0.4 around the reconstructed jet axis. The measured jT distributions are compared with a variety of parton-shower models. Herwig and Pythia 8 based models describe the data well for the higher jT region, while they underestimate the low…

related to the perturbative component of the fragmentation processthe measured trends are successfully described by all models except for Herwig. For the wide componentHerwig and PYTHIA 8 based models slightly underestimate the data for the higher jet transverse momentum region. These measurements set constraints on models of jet fragmentation and hadronisation.Nuclear and High Energy Physicswhile that of the inverse gamma function increases with increasing jet transverse momentum. For the narrow componentHeavy Ion Experimentsand with a Gaussian for lower jT values (called the “narrow component”)hiukkasfysiikkawhile they underestimate the lower jT region. The jT distributions are further characterised by fitting them with a function composed of an inverse gamma function for higher jT values (called the “wide component”)predominantly connected to the hadronisation process. The width of the Gaussian has only a weak dependence on jet transverse momentumJet fragmentation transverse momentum (jT) distributions are measured in proton-proton (pp) and proton-lead (p-Pb) collisions at √sNN = 5.02 TeV with the ALICE experiment at the LHC. Jets are reconstructed with the ALICE tracking detectors and electromagnetic calorimeter using the anti-kT algorithm with resolution parameter R = 0.4 in the pseudorapidity range |η| < 0.25. The jT values are calculated for charged particles inside a fixed cone with a radius R = 0.4 around the reconstructed jet axis. The measured jT distributions are compared with a variety of parton-shower models. Herwig and PYTHIA 8 based models describe the data well for the higher jT region
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