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Mathematical expressions for bivariate copula functions

A method of moments to estimate bivariate survival functions: the copula approach

A method of moments to estimate bivariate survival functions: the copula approach

... the bivariate Marshall-Olkin distribu- tion (obtained with a Marshall-Olkin copula and marginal exponential random vari- ables) and a bivariate Weibull distribution (obtained with the copula ...

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Design of experiments for bivariate binary responses modelled by Copula functions

Design of experiments for bivariate binary responses modelled by Copula functions

... these Copula designs are with respect to ...observing bivariate binary responses, it may not be clear if the responses are dependent or ...the bivariate response in the dependent and independent ...

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On the construction of minimum information bivariate copula families

On the construction of minimum information bivariate copula families

... for functions of the problem variables which the uncertainty distribution must ...of bivariate copulas for use in vines, specification of the constraints will in general lead to either under- or ...

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Copula-based bivariate binary response models

Copula-based bivariate binary response models

... these copula models can be obtained from contour plots of the joint density function or, alternatively, the conditional expectation functions ...the bivariate normal distribution is linear, with E(Y ...

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Bivariate copula additive models for location, scale and shape

Bivariate copula additive models for location, scale and shape

... 2007). Copula models with binary- discrete, binary-continuous, discrete-discrete and discrete-continuous margins will also be made available in the near ...log-likelihood functions, score vectors and ...

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A Generalized Bivariate Copula for Flood Analysis in Peninsular Malaysia

A Generalized Bivariate Copula for Flood Analysis in Peninsular Malaysia

... distribution functions tested in this study are the Gamma, Log normal, Exponential, Weibull and Log Logistic ...density functions of the five distributions and also their ...

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Bivariate Rainfall and Runoff Analysis Using Entropy and Copula Theories

Bivariate Rainfall and Runoff Analysis Using Entropy and Copula Theories

... empirical copula and the copula function candidates (Appendix ...empirical copula where the thresholds k in Equations (14a,b) were determined by applying the plateau-finding algorithm ...empirical ...

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NIG-Lévy approximations and copula based bivariate option pricing

NIG-Lévy approximations and copula based bivariate option pricing

... results compared to a simulation directly from NIG-Lévy. However, one should notice that these simulations were done under specific conditions. First, ω was fixed to 1.38, but this is mainly to see how the different ...

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A copula-based approach to aggregation functions

A copula-based approach to aggregation functions

... some mathematical properties of the aggregation ...some mathematical properties. Section 3 presents the copula approach to aggregation problem while in section 4 we propose an axiomatic ...

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Derivation of flood frequency curves through a bivariate rainfall distribution based on copula functions: application to an urban catchment in northern Italy’s climate

Derivation of flood frequency curves through a bivariate rainfall distribution based on copula functions: application to an urban catchment in northern Italy’s climate

... of bivariate flood events, defined by using peak discharge and runoff volumes, was estimated with reference to routing reservoir perform- ances by Requena et ...a copula-based rainfall sto- chastic generator ...

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Towards Handwritten Mathematical Expressions Recognition

Towards Handwritten Mathematical Expressions Recognition

... Many tools are available to achieve this task. However, most of those tools require some expertise to use them efficiently. Latex and MathML, for example, require knowledge of predefined sets of key words to describe ...

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Nonparametric estimation of copula functions for dependence modelling

Nonparametric estimation of copula functions for dependence modelling

... 1 Introduction Quantifying the dependence among two or more random variables has been an enduring task for statisticians. A rich set of dependence measures has been proposed, including the well-known Pearson’s ...

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Bivariate genetic association analysis of systolic and diastolic blood pressure by copula models

Bivariate genetic association analysis of systolic and diastolic blood pressure by copula models

... Acknowledgements YEY was supported by a MITACS Network Industrial Fellowship, the Syd Cooper Fund and is a CIHR Fellow in Genetic Epidemiology and Statistical Genetics with CIHR STAGE (Strategic Training for Advanced ...

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Optimal design to discriminate between rival copula models for a bivariate binary response

Optimal design to discriminate between rival copula models for a bivariate binary response

... a bivariate logistic model for a binary response and we assume that two rival dependence structures are ...possible. Copula functions are very useful tools to model different kinds of dependence with ...

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MathLet v3: recognizing handwritten mathematical expressions

MathLet v3: recognizing handwritten mathematical expressions

... As a contribution of this thesis, MathLet v3 uses both online and offline features in different classifers and combines these classifiers. In the combination, the classi- fier which returns greater prediction probability ...

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A test for Archimedeanity in bivariate copula models

A test for Archimedeanity in bivariate copula models

... where ( x , y ) is some fixed point in the open cube ( 0 , 1 ) 2 and C n denotes the empirical copula; see Section 2 for details. The main advantage of this approach is its simplicity, in particular the simple ...

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Copula bivariate probit models: with an application to medical expenditures

Copula bivariate probit models: with an application to medical expenditures

... the copula models do well in detecting dependence, they also show that larger samples are needed to reliably discriminate between the three copulas with ...normal copula model has the highest average ...

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Reading Mathematical Expressions

Reading Mathematical Expressions

... A) Every rational number has a multiplicative inverse. B) Every irrational number is not real number. C) Every even integer has an additive inverse. Which one of the following statemen[r] ...

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Note to Copula Functions 1

Note to Copula Functions 1

... a copula. A copula is a function that combines marginal distributions of the variables (risk factors) into a specific multivariate distribution in which all of its one-dimensional marginals are the ...

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Financial Applications of Copula Functions

Financial Applications of Copula Functions

... We no longer assume that the random thresholds are independent variables. By coupling the dependence of the thresholds together with the correlation between the intensity processes, we achieve to produce more realistic ...

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