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A statistical test suite for random and pseudorandom number generators for cryptographic applications
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Year: 2001 Publisher: [Gaithersburg, MD] : [U.S. Dept. of Commerce, Technology Administration, National Institute of Standards and Technology],

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This paper discusses some aspects of selecting and testing random and pseudorandom number generators. The outputs of such generators may be used in many cryptographic applications, such as the generation of key material. Generators suitable for use in cryptographic applications may need to meet stronger requirements than for other applications. In particular, their outputs must be unpredictable in the absence of knowledge of the inputs. Some criteria for characterizing and selecting appropriate generators are discussed in this document. The subject of statistical testing and its relation to cryptanalysis is also discussed, and some recommended statistical tests are provided. These tests may be useful as a first step in determining whether or not a generator is suitable for a particular cryptographic application. However, no set of statistical tests can absolutely certify a generator as appropriate for usage in a particular application, i.e., statistical testing cannot serve as a substitute for cryptanalysis. The design and cryptanalysis of generators is outside the scope of this paper.


Book
A statistical test suite for random and pseudorandom number generators for cryptographic applications
Authors: --- ---
Year: 2001 Publisher: [Gaithersburg, MD] : [U.S. Dept. of Commerce, Technology Administration, National Institute of Standards and Technology],

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Abstract

This paper discusses some aspects of selecting and testing random and pseudorandom number generators. The outputs of such generators may be used in many cryptographic applications, such as the generation of key material. Generators suitable for use in cryptographic applications may need to meet stronger requirements than for other applications. In particular, their outputs must be unpredictable in the absence of knowledge of the inputs. Some criteria for characterizing and selecting appropriate generators are discussed in this document. The subject of statistical testing and its relation to cryptanalysis is also discussed, and some recommended statistical tests are provided. These tests may be useful as a first step in determining whether or not a generator is suitable for a particular cryptographic application. However, no set of statistical tests can absolutely certify a generator as appropriate for usage in a particular application, i.e., statistical testing cannot serve as a substitute for cryptanalysis. The design and cryptanalysis of generators is outside the scope of this paper.


Book
Towards a New Paradigm for Statistical Evidence
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Year: 2021 Publisher: Basel, Switzerland MDPI - Multidisciplinary Digital Publishing Institute

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Many scientists now widely agree that the current paradigm of statistical significance should be abandoned or largely modified. In response to these calls for change, a Special Issue of Econometrics (MDPI) has been proposed. This book is a collection of the articles that have been published in this Special Issue. These seven articles add new insights to the problem and propose new methods that lay a solid foundation for the new paradigm for statistical significance.


Book
Towards a New Paradigm for Statistical Evidence
Authors: ---
Year: 2021 Publisher: Basel, Switzerland MDPI - Multidisciplinary Digital Publishing Institute

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Abstract

Many scientists now widely agree that the current paradigm of statistical significance should be abandoned or largely modified. In response to these calls for change, a Special Issue of Econometrics (MDPI) has been proposed. This book is a collection of the articles that have been published in this Special Issue. These seven articles add new insights to the problem and propose new methods that lay a solid foundation for the new paradigm for statistical significance.


Book
Towards a New Paradigm for Statistical Evidence
Authors: ---
Year: 2021 Publisher: Basel, Switzerland MDPI - Multidisciplinary Digital Publishing Institute

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Abstract

Many scientists now widely agree that the current paradigm of statistical significance should be abandoned or largely modified. In response to these calls for change, a Special Issue of Econometrics (MDPI) has been proposed. This book is a collection of the articles that have been published in this Special Issue. These seven articles add new insights to the problem and propose new methods that lay a solid foundation for the new paradigm for statistical significance.


Book
Determinants of Financial Development
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ISBN: 023027367X 1349324159 0230302491 Year: 2010 Publisher: Basingstoke Springer Nature

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A PDF version of this book is available for free in open access via the OAPEN Library platform, www.oapen.org. This book examines the emergence of both financial markets and carbon markets, and provides an in-depth investigation on the fundamental determinants of financial development.


Book
Quantum Nonlocality
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ISBN: 303897949X 3038979481 Year: 2019 Publisher: MDPI - Multidisciplinary Digital Publishing Institute

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This book presents the current views of leading physicists on the bizarre property of quantum theory: nonlocality. Einstein viewed this theory as “spooky action at a distance” which, together with randomness, resulted in him being unable to accept quantum theory. The contributions in the book describe, in detail, the bizarre aspects of nonlocality, such as Einstein–Podolsky–Rosen steering and quantum teleportation—a phenomenon which cannot be explained in the framework of classical physics, due its foundations in quantum entanglement. The contributions describe the role of nonlocality in the rapidly developing field of quantum information. Nonlocal quantum effects in various systems, from solid-state quantum devices to organic molecules in proteins, are discussed. The most surprising papers in this book challenge the concept of the nonlocality of Nature, and look for possible modifications, extensions, and new formulations—from retrocausality to novel types of multiple-world theories. These attempts have not yet been fully successful, but they provide hope for modifying quantum theory according to Einstein’s vision.


Book
The seven deadly sins of psychology : a manifesto for reforming the culture of scientific practice
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ISBN: 9780691158907 0691158908 9780691192031 0691192030 9780691192277 0691192278 Year: 2017 Publisher: Princeton, NJ : Princeton University Press,

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Chris Chambers draws on his own experiences as a working scientist to reveal a dark side to psychology that few of us ever see. Using the seven deadly sins as a metaphor, he shows how practitioners are vulnerable to powerful biases that undercut the scientific method, how they routinely torture data until it produces outcomes that can be published in prestigious journals, and how studies are much less reliable than advertised. He reveals how a culture of secrecy denies the public and other researchers access to the results of psychology experiments, how fraudulent academics can operate with impunity, and how an obsession with bean counting creates perverse incentives for academics ... Outlining a core set of best practices that can be applied across the sciences, Chambers demonstrates how all these sins can be corrected by embracing open science, an emerging philosophy that seeks to make research and its outcomes as transparent as possible. Provided by publisher. Psychological science has made extraordinary discoveries about the human mind, but can we trust everything its practitioners are telling us? In recent years, it has become increasingly apparent that a lot of research in psychology is based on weak evidence, questionable practices, and sometimes even fraud. The Seven Deadly Sins of Psychology diagnoses the ills besetting the discipline today and proposes sensible, practical solutions to ensure that it remains a legitimate and reliable science in the years ahead. In this unflinchingly candid manifesto, Chris Chambers draws on his own experiences as a working scientist to reveal a dark side to psychology that few of us ever see. Using the seven deadly sins as a metaphor, he shows how practitioners are vulnerable to powerful biases that undercut the scientific method, how they routinely torture data until it produces outcomes that can be published in prestigious journals, and how studies are much less reliable than advertised. He reveals how a culture of secrecy denies the public and other researchers access to the results of psychology experiments, how fraudulent academics can operate with impunity, and how an obsession with bean counting creates perverse incentives for academics. Left unchecked, these problems threaten the very future of psychology as a science but help is here. Outlining a core set of best practices that can be applied across the sciences, Chambers demonstrates how all these sins can be corrected by embracing open science, an emerging philosophy that seeks to make research and its outcomes as transparent as possible. Publisher's description

Keywords

Psychology --- Psychologie --- Research --- Methodology --- Recherche --- Méthodologie --- Psychology, Clinical. --- Methodology. --- Research. --- Philosophy of science --- Méthodologie --- Recherche. --- Méthodologie. --- Psychological research --- Psychology, Clinical --- Academic publishing. --- Adversarial collaboration. --- Alzheimer's disease. --- Ambiguity. --- American Psychological Association. --- Article processing charge. --- Author. --- Bayes' theorem. --- Bayesian. --- Blog. --- Calculation. --- Career. --- Center for Open Science. --- Cherry picking. --- Cognitive psychology. --- Confirmation bias. --- Counting. --- Criticism. --- Data set. --- Data. --- Edition (book). --- Editorial. --- Effect size. --- Estimation. --- Experiment. --- Experimental psychology. --- Explanation. --- Fallacy. --- False positive rate. --- Finding. --- Fraud. --- Funding. --- Guideline. --- Hypothetico-deductive model. --- Impact factor. --- Independent scientist. --- Institution. --- Jargon. --- John Bargh. --- Law of small numbers. --- Literature. --- Manuscript. --- Meta-analysis. --- Misconduct. --- Narrative. --- Null hypothesis. --- Open science. --- P-value. --- PLOS ONE. --- PLOS. --- Paperback. --- Participant. --- Paywall. --- Peer review. --- Percentage. --- Post hoc analysis. --- Postdoctoral researcher. --- Precognition. --- Prevalence. --- Probability. --- Psychiatry. --- Psychological Science. --- Psychological research. --- Psychologist. --- Psychology. --- Psychonomic Society. --- Publication bias. --- Publication. --- Publishing. --- Quantity. --- Raw data. --- Reprimand. --- Reproducibility. --- Reputation. --- Requirement. --- Result. --- Reuse. --- Sample Size. --- Sampling (statistics). --- Science. --- Scientific literature. --- Scientific method. --- Scientific misconduct. --- Scientist. --- Scrutiny (journal). --- Scrutiny. --- Sharing. --- Signature. --- Social psychology. --- Statistical hypothesis testing. --- Statistical power. --- Statistical significance. --- Statistician. --- Statistics. --- Suggestion. --- Tilburg University. --- Type I and type II errors. --- Whistleblower. --- Writing. --- Méthodologie.


Book
Moments, Monodromy, and Perversity. (AM-159) : A Diophantine Perspective. (AM-159)
Author:
ISBN: 1400826950 Year: 2005 Publisher: Princeton, NJ : Princeton University Press,

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It is now some thirty years since Deligne first proved his general equidistribution theorem, thus establishing the fundamental result governing the statistical properties of suitably "pure" algebro-geometric families of character sums over finite fields (and of their associated L-functions). Roughly speaking, Deligne showed that any such family obeys a "generalized Sato-Tate law," and that figuring out which generalized Sato-Tate law applies to a given family amounts essentially to computing a certain complex semisimple (not necessarily connected) algebraic group, the "geometric monodromy group" attached to that family. Up to now, nearly all techniques for determining geometric monodromy groups have relied, at least in part, on local information. In Moments, Monodromy, and Perversity, Nicholas Katz develops new techniques, which are resolutely global in nature. They are based on two vital ingredients, neither of which existed at the time of Deligne's original work on the subject. The first is the theory of perverse sheaves, pioneered by Goresky and MacPherson in the topological setting and then brilliantly transposed to algebraic geometry by Beilinson, Bernstein, Deligne, and Gabber. The second is Larsen's Alternative, which very nearly characterizes classical groups by their fourth moments. These new techniques, which are of great interest in their own right, are first developed and then used to calculate the geometric monodromy groups attached to some quite specific universal families of (L-functions attached to) character sums over finite fields.

Keywords

Monodromy groups. --- Sheaf theory. --- L-functions. --- Addition. --- Additive group. --- Affine space. --- Algebraic group. --- Algebraic integer. --- Algebraically closed field. --- Automorphism. --- Base change. --- Big O notation. --- Central moment. --- Change of base. --- Character sum. --- Classical group. --- Codimension. --- Computation. --- Conjecture. --- Conjugacy class. --- Constant function. --- Convolution. --- Corollary. --- Critical value. --- Dense set. --- Determinant. --- Dimension (vector space). --- Dimension. --- Diophantine equation. --- Direct sum. --- Discrete group. --- Disjoint sets. --- Divisor (algebraic geometry). --- Divisor. --- Eigenvalues and eigenvectors. --- Elliptic curve. --- Empty set. --- Equidistribution theorem. --- Existential quantification. --- Exponential sum. --- Faithful representation. --- Finite field. --- Finite group. --- Fourier transform. --- Function field. --- Function space. --- Generic point. --- Group theory. --- Hypersurface. --- Inequality (mathematics). --- Integer. --- Irreducible representation. --- Isomorphism class. --- L-function. --- Leray spectral sequence. --- Linear space (geometry). --- Linear subspace. --- Moment (mathematics). --- Monodromy. --- Morphism. --- Natural number. --- Normal subgroup. --- Orthogonal group. --- P-value. --- Parameter space. --- Parameter. --- Parity (mathematics). --- Partition of a set. --- Perverse sheaf. --- Polynomial. --- Power series. --- Prime number. --- Probability space. --- Probability theory. --- Proper morphism. --- Pullback (category theory). --- Random variable. --- Reductive group. --- Relative dimension. --- Root of unity. --- Scalar multiplication. --- Scientific notation. --- Set (mathematics). --- Sheaf (mathematics). --- Special case. --- Subgroup. --- Subobject. --- Subset. --- Summation. --- Surjective function. --- Symmetric group. --- Symplectic group. --- Tensor product. --- Theorem. --- Theory. --- Topology. --- Trace (linear algebra). --- Trivial group. --- Unipotent. --- Variable (mathematics). --- Variance. --- Vector space. --- Zariski topology.


Book
Econometric modeling : a likelihood approach
Authors: ---
ISBN: 1400845653 Year: 2007 Publisher: Princeton ; Oxford : Princeton University Press,

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Econometric Modeling provides a new and stimulating introduction to econometrics, focusing on modeling. The key issue confronting empirical economics is to establish sustainable relationships that are both supported by data and interpretable from economic theory. The unified likelihood-based approach of this book gives students the required statistical foundations of estimation and inference, and leads to a thorough understanding of econometric techniques. David Hendry and Bent Nielsen introduce modeling for a range of situations, including binary data sets, multiple regression, and cointe.

Keywords

Econometric models. --- Econometrics. --- Accuracy and precision. --- Asymptotic distribution. --- Autocorrelation. --- Autoregressive conditional heteroskedasticity. --- Autoregressive model. --- Bayesian statistics. --- Bayesian. --- Bernoulli distribution. --- Bias of an estimator. --- Calculation. --- Central limit theorem. --- Chow test. --- Cointegration. --- Conditional expectation. --- Conditional probability distribution. --- Confidence interval. --- Confidence region. --- Correlation and dependence. --- Correlogram. --- Count data. --- Cross-sectional data. --- Cross-sectional regression. --- Distribution function. --- Dummy variable (statistics). --- Econometric model. --- Empirical distribution function. --- Equation. --- Error term. --- Estimation. --- Estimator. --- Exogeny. --- Exploratory data analysis. --- F-distribution. --- F-test. --- Fair coin. --- Forecast error. --- Forecasting. --- Granger causality. --- Heteroscedasticity. --- Inference. --- Instrumental variable. --- Joint probability distribution. --- Law of large numbers. --- Least absolute deviations. --- Least squares. --- Likelihood function. --- Likelihood-ratio test. --- Linear regression. --- Logistic regression. --- Lucas critique. --- Marginal distribution. --- Markov process. --- Mathematical optimization. --- Maximum likelihood estimation. --- Model selection. --- Monte Carlo method. --- Moving-average model. --- Multiple correlation. --- Multivariate normal distribution. --- Nonparametric regression. --- Normal distribution. --- Normality test. --- One-Tailed Test. --- Opportunity cost. --- Orthogonalization. --- P-value. --- Parameter. --- Partial correlation. --- Poisson regression. --- Probability. --- Probit model. --- Quantile. --- Quantity. --- Quasi-likelihood. --- Random variable. --- Regression analysis. --- Residual sum of squares. --- Round-off error. --- Seemingly unrelated regressions. --- Selection bias. --- Simple linear regression. --- Skewness. --- Standard deviation. --- Standard error. --- Stationary process. --- Statistic. --- Student's t-test. --- Sufficient statistic. --- Summary statistics. --- T-statistic. --- Test statistic. --- Time series. --- Type I and type II errors. --- Unit root test. --- Unit root. --- Utility. --- Variable (mathematics). --- Variance. --- Vector autoregression. --- White test.

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