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1

1959-, Ageel Mohammed I., ed. The analysis of variance: Fixed, random, and mixed models. Birkhäuser, 2000.

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2

Sahai, Hardeo. The Analysis of Variance: Fixed, Random and Mixed Models. Birkhäuser Boston, 2000.

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3

Grafarend, Erik. Linear and Nonlinear Models: Fixed effects, random effects, and total least squares. Springer Berlin Heidelberg, 2012.

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4

Aiyer, Ajay Subramanian. Optimal portfolio selection with fixed transaction costs in the presence of jumps and random drift. Cornell Theory Center, Cornell University, 1996.

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5

Canada. Fisheries and Oceans Canada. Incorporating fixed and repeat sets in the stratified random survey for groundfish in the Southern Gulf of St. Lawrence. Fisheries and Oceans Canada, 1995.

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6

Nielsen, G. A. Incorporating fixed and repeat sets in the stratified random survey for groundfish in the Southern Gulf of St. Lawrence. Dept. of Fisheries and Oceans, Science Branch, 1995.

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7

James, Jessica, Michael Leister, and Christoph Rieger. Random Walks in Fixed Income and Foreign Exchange. De Gruyter, 2021. http://dx.doi.org/10.1515/9783110688733.

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8

Majumdar, Satya N. Random growth models. Edited by Gernot Akemann, Jinho Baik, and Philippe Di Francesco. Oxford University Press, 2018. http://dx.doi.org/10.1093/oxfordhb/9780198744191.013.38.

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This article discusses the connection between a particular class of growth processes and random matrices. It first provides an overview of growth model, focusing on the TASEP (totally asymmetric simple exclusion process) with parallel updating, before explaining how random matrices appear. It then describes multi-matrix models and line ensembles, noting that for curved initial data the spatial statistics for large time t is identical to the family of largest eigenvalues in a Gaussian Unitary Ensemble (GUE multi-matrix model. It also considers the link between the line ensemble and Brownian mot
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9

Zinn-Justin, Jean. From Random Walks to Random Matrices. Oxford University Press, 2019. http://dx.doi.org/10.1093/oso/9780198787754.001.0001.

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Theoretical physics is a cornerstone of modern physics and provides a foundation for all modern quantitative science. It aims to describe all natural phenomena using mathematical theories and models and, in consequence, develops our understanding of the fundamental nature of the universe. This book offers an overview of major areas covering the recent developments in modern theoretical physics. Each chapter introduces a new key topic, and develops the discussion in a self-contained manner. At the same time, the selected topics have common themes running throughout the book, which connect the i
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10

Linear and nonlinear models: Fixed effects, random effects, and mixed models. Walter de Gruyter, 2006.

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11

Gallo, Jose Manuel. Exact tests for fixed and random effects in unbalanced linear mixed models. 1987.

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12

Coolen, A. C. C., A. Annibale, and E. S. Roberts. Random graph ensembles. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780198709893.003.0003.

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This chapter presents some theoretical tools for defining random graph ensembles systematically via soft or hard topological constraints including working through some properties of the Erdös-Rényi random graph ensemble, which is the simplest non-trivial random graph ensemble where links appear between two nodes with a fixed probability p. The chapter sets out the central representation of graph generation as the result of a discrete-time Markovian stochastic process. This unites the two flavours of graph generation approaches – because they can be viewed as simply moving forwards or backwards
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13

Linear And Nonlinear Models Vol I Fixed Effects Random Effects And Total Least Squares. Springer, 2012.

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14

Applications of Linear and Nonlinear Models: Fixed Effects, Random Effects, and Total Least Squares. Springer International Publishing AG, 2023.

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15

Grafarend, Erik, Joseph Awange, and Silvelyn Zwanzig. Applications of Linear and Nonlinear Models: Fixed Effects, Random Effects, and Total Least Squares. Springer International Publishing AG, 2022.

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16

Awange, Joseph L., and Erik Grafarend. Applications of Linear and Nonlinear Models: Fixed Effects, Random Effects, and Total Least Squares. Springer Berlin / Heidelberg, 2016.

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17

Hun, Dewey. New Mathematical Formula : Which Can Be Used in Some Complex Situation: Random vs Fixed Effects Meta Analysis. Independently Published, 2021.

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18

James, Jessica, Christoph Rieger, and Michael Leister. Random Walks in Fixed Income and Foreign Exchange: Unexpected Discoveries in Issuance, Investment and Hedging of Yield Curve Instruments. de Gruyter GmbH, Walter, 2021.

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19

James, Jessica, Christoph Rieger, and Michael Leister. Random Walks in Fixed Income and Foreign Exchange: Unexpected Discoveries in Issuance, Investment and Hedging of Yield Curve Instruments. de Gruyter GmbH, Walter, 2021.

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20

James, Jessica, Christoph Rieger, and Michael Leister. Random Walks in Fixed Income and Foreign Exchange: Unexpected Discoveries in Issuance, Investment and Hedging of Yield Curve Instruments. de Gruyter GmbH, Walter, 2021.

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21

Aye, Goodness C., Laurence Harris, and Junior T. Chiweza. Monetary policy and wealth inequality in South Africa: Evidence from tax administrative data. UNU-WIDER, 2020. http://dx.doi.org/10.35188/unu-wider/2020/931-0.

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This paper examines the relationship between monetary policy and wealth inequality in South Africa. We employed a unique database of tax administrative data which allowed us to account for individual heterogeneity. These tax data span from 2011 to 2017 and include over 3 million individual taxpayers in South Africa after data cleaning. Results based on fixed- and random-effects panel model estimates show that monetary policy generally increases wealth Gini inequality while it decreases the wealth 90–10 percentile differential. Increasing asset prices and gross domestic product per capita gener
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22

Aye, Goodness C. Wealth inequality and CO2 emissions in emerging economies: The case of BRICS. UNU-WIDER, 2020. http://dx.doi.org/10.35188/unu-wider/2020/918-1.

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As the world battles with the triple problems of social, economic, and environmental challenges, it has become important to focus both policy and research efforts on these. Therefore, this study examines the effect of wealth inequality on CO2 emissions in five emerging economies: Brazil, Russia, India, China, and South Africa. The top decile of wealth share was used as a measure of wealth inequality, while CO2 emissions per capita were used as a measure of CO2 emissions. GDP per capita, population, and financial development (domestic credit to the private sector) were included as control varia
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23

Muller, Sebastian, and Martin Sieber. Resonance scattering of waves in chaotic systems. Edited by Gernot Akemann, Jinho Baik, and Philippe Di Francesco. Oxford University Press, 2018. http://dx.doi.org/10.1093/oxfordhb/9780198744191.013.34.

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This article discusses some applications of random matrix theory (RMT) to quantum or wave chaotic resonance scattering. It first provides an overview of selected topics on universal statistics of resonances and scattering observables, with emphasis on theoretical results obtained via non-perturbative methods starting from the mid-1990s. It then considers the statistical properties of scattering observables at a given fixed value of the scattering energy, taking into account the maximum entropy approach as well as quantum transport and the Selberg integral. It also examines the correlation prop
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24

Jones, Bradford S. Multilevel Models. Edited by Janet M. Box-Steffensmeier, Henry E. Brady, and David Collier. Oxford University Press, 2009. http://dx.doi.org/10.1093/oxfordhb/9780199286546.003.0026.

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This article addresses multilevel models in which units are nested within one another. The focus is primarily two-level models. It also describes cross-unit heterogeneity. Moreover, it assesses the fixed and random effects from the multilevel model. It generally tries to convey the scope of multilevel models but in a very compact way. Multilevel models provide great promise for exploiting information in hierarchical data structures. There are a range of alternatives for such data and it bears repeating that sometimes, simpler-to-apply correctives are best.
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25

Beenakker, Carlo W. J. Extreme eigenvalues of Wishart matrices: application to entangled bipartite system. Edited by Gernot Akemann, Jinho Baik, and Philippe Di Francesco. Oxford University Press, 2018. http://dx.doi.org/10.1093/oxfordhb/9780198744191.013.37.

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This article describes the application of random matrix theory (RMT) to the estimation of the bipartite entanglement of a quantum system, with particular emphasis on the extreme eigenvalues of Wishart matrices. It first provides an overview of some spectral properties of unconstrained Wishart matrices before introducing the problem of the random pure state of an entangled quantum bipartite system consisting of two subsystems whose Hilbert spaces have dimensions M and N respectively with N ≤ M. The focus is on the smallest eigenvalue which serves as an important measure of entanglement between
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26

Coolen, A. C. C., A. Annibale, and E. S. Roberts. Ensembles with hard constraints. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780198709893.003.0005.

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This chapter introduces random graph ensembles involving hard constraints such as setting a fixed total number of links or fixed degree sequence, including properties of the partition function. It continues on from the previous chapter’s investigation of ensembles with soft-constrained numbers of two-stars (two-step paths) and soft-constrained total number of triangles, but now combined with a hard constraint on the total number of links. This illustrates phase transitions in a mixed-constrained ensemble – which in this case is shown to be a condensation transition, where the network becomes c
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27

Cicerone, Carol M., and Donald D. Hoffman. Illusory Color Spread from Apparent Motion. Oxford University Press, 2017. http://dx.doi.org/10.1093/acprof:oso/9780199794607.003.0042.

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Color from motion describes the perception of subjective color that spreads over physically achromatic regions that are seen in apparent motion. Multiple frames are shown in quick succession, each frame composed of a random placement of differently colored dots on an achromatic background. From frame to frame, the locations of all dots are fixed, whereas the color assignments of dots in the test region change. Subjective color can be measured by color matches to and cancellation by real lights, can be seen with chromaticity differences alone in test and surround dots, and is independent of con
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28

Burda, Zdzislaw, and Jerzy Jurkiewicz. Phase transitions. Edited by Gernot Akemann, Jinho Baik, and Philippe Di Francesco. Oxford University Press, 2018. http://dx.doi.org/10.1093/oxfordhb/9780198744191.013.14.

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This article considers phase transitions in matrix models that are invariant under a symmetry group as well as those that occur in some matrix ensembles with preferred basis, like the Anderson transition. It first reviews the results for the simplest model with a nontrivial set of phases, the one-matrix Hermitian model with polynomial potential. It then presents a view of the several solutions of the saddle point equation. It also describes circular models and their Cayley transform to Hermitian models, along with fixed trace models. A brief overview of models with normal, chiral, Wishart, and
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29

Beck, Nathaniel. Time‐Series Cross‐Section Methods. Edited by Janet M. Box-Steffensmeier, Henry E. Brady, and David Collier. Oxford University Press, 2009. http://dx.doi.org/10.1093/oxfordhb/9780199286546.003.0020.

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This article outlines the literature on time-series cross-sectional (TSCS) methods. First, it addresses time-series properties including issues of nonstationarity. It moves to cross-sectional issues including heteroskedasticity and spatial autocorrelation. The ways that TSCS methods deal with heterogeneous units through fixed effects and random coefficient models are shown. In addition, a discussion of binary variables and their relationship to event history models is provided. The best way to think about modeling single time series is to think about modeling the time-series component of TSCS
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30

Clarke, Andrew. Energy and heat. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780199551668.003.0002.

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Energy is the capacity to do work and heat is the spontaneous flow of energy from one body or system to another through the random movement of atoms or molecules. The entropy of a system determines how much of its internal energy is unavailable for work under isothermal conditions, and the Gibbs energy is the energy available for work under isothermal conditions and constant pressure. The Second Law of Thermodynamics states that for any reaction to proceed spontaneously the total entropy (system plus surroundings) must increase, which is why metabolic processes release heat. All organisms are
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31

Hankin, David, Michael S. Mohr, and Kenneth B. Newman. Sampling Theory. Oxford University Press, 2019. http://dx.doi.org/10.1093/oso/9780198815792.001.0001.

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We present a rigorous but understandable introduction to the field of sampling theory for ecologists and natural resource scientists. Sampling theory concerns itself with development of procedures for random selection of a subset of units, a sample, from a larger finite population, and with how to best use sample data to make scientifically and statistically sound inferences about the population as a whole. The inferences fall into two broad categories: (a) estimation of simple descriptive population parameters, such as means, totals, or proportions, for variables of interest, and (b) estimati
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32

Bajardi, Silvia, Betsy Hunt, Leigh Anne Jasheway, and Katherine Shaw. Random Female Syndromes: Funny Fixes for All the Things You Thought Were Wrong with You. Independently Published, 2019.

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33

Laney, Culbert B. Particle Dynamics with Aggregation and Fragmentation. Oxford University PressOxford, 2025. https://doi.org/10.1093/9780198920687.001.0001.

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Abstract This book concerns particle dynamics, where the term “particle” covers a wide range of shapes and sizes, from atoms to asteroids. While this book considers particles with fixed sizes, the main focus is on particles that grow and shrink over time, due to random or chaotic processes or events, such as inelastic or partially elastic collisions. Prior books on this subject typically focus on just one or a few applications in aerosol science, astrophysics, polymer science, and so forth. In this specialized literature, particle growth is referred to by terms such as aggregation, agglomerati
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34

Bowd, Stephen D. The Experiences of Civilians. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198832614.003.0004.

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The experiences of civilians in war shared some characteristics, with practical preparations for the siege or assault often accompanied by spiritual preparations such as a mass or the taking of oaths. In the heat of the assault civilians were often taken ransom, goods plundered (especially from Jews), and buildings destroyed or fired. But civilians also resisted assault and there is considerable evidence for women taking an active part in resistance or other frontline activities including foraging for food, which may be reflected in some artistic productions of the Renaissance. In the aftermat
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35

Kowal, Rebekah J., Gerald Siegmund, and Randy Martin. Introduction. Edited by Rebekah J. Kowal, Gerald Siegmund, and Randy Martin. Oxford University Press, 2017. http://dx.doi.org/10.1093/oxfordhb/9780199928187.013.51.

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Dance and politics move and move one another in complex and myriad ways. What aspects or efficacy of a dance can be considered political, and what possibilities and understandings of politics are disclosed through dance are not fixed in advance. At the same time, dance is not one; it is dispersed geographically, distributed aesthetically, and it is diverse genealogically, such that gathering movement practices under the banner of dance bears a politics of its own. Opening up its critical terms in two directions, the Introduction illuminates how dance achieves its politics and how notions of th
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