Algebraic properties of the composition of solutions of partial differential equations [PDF]
, 1963 Robert S. Lehman
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Systems of Algebraic Differential Equations [PDF]
Proceedings of the National Academy of Sciences, 1931 openaire +5 more sources
Random discrete probability measures based on a negative binomial process
Canadian Journal of Statistics, EarlyView.Abstract A distinctive functional of the Poisson point process is the negative binomial process for which the increments are not independent but are independent conditional on an underlying gamma variable. Using a new point process representation for the negative binomial process, we generalize the Poisson–Kingman distribution and its corresponding ...
Sadegh Chegini, Mahmoud Zarepour
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How to measure statistical evidence and its strength: Bayes factors or relative belief ratios?
Canadian Journal of Statistics, EarlyView.Abstract Both the Bayes factor and the relative belief ratio satisfy the principle of evidence and are therefore valid measures of statistical evidence. Which of these measures of evidence is more appropriate? We argue here that there are questions concerning the validity of a commonly used definition of the Bayes factor based on a mixture prior, and ...
Luai Al‐Labadi +2 more
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On a class of differential linear equations which can be solved by algebraical means [PDF]
, 1964 T. Iwiński
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Subuniformity of harmonic mean p$$ p $$‐values
Canadian Journal of Statistics, EarlyView.Abstract We obtain several inequalities on the generalized means of dependent p$$ p $$‐values. In particular, the weighted harmonic mean of p$$ p $$‐values is strictly subuniform under several dependence assumptions of p$$ p $$‐values, including independence, negative upper orthant dependence, the class of extremal mixture copulas, and some Clayton ...
Yuyu Chen +3 more
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XIX. On the differential equations which determine the form of the roots of algebraic equations [PDF]
George Boole
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V. I. Smirmov, A Course of Higher Mathematics, Vol. I: Elementary Calculus, 546 pp., 90s.; Vol. II: Advanced Calculus, 632 pp., 90s.; Vol. III, Part 1: Linear Algebra, 326 pp., 63s.; Vol. III, Part 2: Complex Variables and Special Functions, 702 pp., 110s.; Vol. IV: Integral Equations and Partial Differential Equations, 814 pp., 126s. [PDF]
, 1969 D. Martin
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A probabilistic diagnostic for Laplace approximations: Introduction and experimentation
Canadian Journal of Statistics, EarlyView.Abstract Many models require integrals of high‐dimensional functions: for instance, to obtain marginal likelihoods. Such integrals may be intractable, or too expensive to compute numerically. Instead, we can use the Laplace approximation (LA). The LA is exact if the function is proportional to a normal density; its effectiveness therefore depends on ...
Shaun McDonald, Dave Campbell
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Chemistry–Methods, EarlyView.This work explores data acquisition and reduction protocols for atomic pair distribution scheme that enhances high‐angle data collection, and the effects of instrumental parameters on resulting pair distribution functions are examined. A correction for sample absorption in PDFgetX3 is introduced. Herein, data acquisition protocols are explored and data
Till Schertenleib +5 more
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