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An Introduction to Copula

Roger B. Nelsen

Second Edition.

Resumen/Descripción – provisto por la editorial

No disponible.

Palabras clave – provistas por la editorial

Probability Theory and Stochastic Processes; Statistical Theory and Methods; Statistics for Business/Economics/Mathematical Finance/Insurance; Quantitative Finance; Simulation and Modeling

Disponibilidad
Institución detectada Año de publicación Navegá Descargá Solicitá
No detectada 2006 SpringerLink

Información

Tipo de recurso:

libros

ISBN impreso

978-0-387-28659-4

ISBN electrónico

978-0-387-28678-5

Editor responsable

Springer Nature

País de edición

Reino Unido

Fecha de publicación

Información sobre derechos de publicación

© Springer Science+Business Media, Inc. 2006

Tabla de contenidos

Introduction

Roger B. Nelsen

Particle characterization, i.e., description of primary properties of food powders in a particulate system, underlies all work in particle technology. Primary particle properties such as particle shape and particle density, together with the primary properties of a fluid (viscosity and density), and also the concentration and state of dispersion, govern secondary properties such as settling velocity of particles, rehydration rate of powders, resistance of filter cakes, etc. It could be argued that it is simpler, and more reliable, to measure the secondary properties directly without reference to primary properties. Direct measurement of secondary properties can be carried out in practice, but the ultimate aim is to predict secondary properties based on primary properties, as when determining pipe resistance to flow from known relationships, feeding in data from primary properties of a given liquid (viscosity and density), as well as properties of a pipeline (roughness). Since many relationships in powder technology are complex and often are not yet available in many areas, particle properties are mainly used for qualitative assessment of the behavior of suspensions and powders, for example, as an equipment selection guide. Since a powder is considered to be a dispersed two-phase system consisting of a dispersed phase of solid particles of different sizes and a gas as the continuous phase, complete characterization of powdered materials is dependent on the properties of a particle as an individual entity, the properties of the assembly of particles, and the interactions between those assemblies and a fluid.

Pp. 1-5

Definitions and Basic Properties

Roger B. Nelsen

Particle characterization, i.e., description of primary properties of food powders in a particulate system, underlies all work in particle technology. Primary particle properties such as particle shape and particle density, together with the primary properties of a fluid (viscosity and density), and also the concentration and state of dispersion, govern secondary properties such as settling velocity of particles, rehydration rate of powders, resistance of filter cakes, etc. It could be argued that it is simpler, and more reliable, to measure the secondary properties directly without reference to primary properties. Direct measurement of secondary properties can be carried out in practice, but the ultimate aim is to predict secondary properties based on primary properties, as when determining pipe resistance to flow from known relationships, feeding in data from primary properties of a given liquid (viscosity and density), as well as properties of a pipeline (roughness). Since many relationships in powder technology are complex and often are not yet available in many areas, particle properties are mainly used for qualitative assessment of the behavior of suspensions and powders, for example, as an equipment selection guide. Since a powder is considered to be a dispersed two-phase system consisting of a dispersed phase of solid particles of different sizes and a gas as the continuous phase, complete characterization of powdered materials is dependent on the properties of a particle as an individual entity, the properties of the assembly of particles, and the interactions between those assemblies and a fluid.

Pp. 7-49

Methods of Constructing Copulas

Roger B. Nelsen

Particle characterization, i.e., description of primary properties of food powders in a particulate system, underlies all work in particle technology. Primary particle properties such as particle shape and particle density, together with the primary properties of a fluid (viscosity and density), and also the concentration and state of dispersion, govern secondary properties such as settling velocity of particles, rehydration rate of powders, resistance of filter cakes, etc. It could be argued that it is simpler, and more reliable, to measure the secondary properties directly without reference to primary properties. Direct measurement of secondary properties can be carried out in practice, but the ultimate aim is to predict secondary properties based on primary properties, as when determining pipe resistance to flow from known relationships, feeding in data from primary properties of a given liquid (viscosity and density), as well as properties of a pipeline (roughness). Since many relationships in powder technology are complex and often are not yet available in many areas, particle properties are mainly used for qualitative assessment of the behavior of suspensions and powders, for example, as an equipment selection guide. Since a powder is considered to be a dispersed two-phase system consisting of a dispersed phase of solid particles of different sizes and a gas as the continuous phase, complete characterization of powdered materials is dependent on the properties of a particle as an individual entity, the properties of the assembly of particles, and the interactions between those assemblies and a fluid.

Pp. 51-108

Archimedean Copulas

Roger B. Nelsen

Particle characterization, i.e., description of primary properties of food powders in a particulate system, underlies all work in particle technology. Primary particle properties such as particle shape and particle density, together with the primary properties of a fluid (viscosity and density), and also the concentration and state of dispersion, govern secondary properties such as settling velocity of particles, rehydration rate of powders, resistance of filter cakes, etc. It could be argued that it is simpler, and more reliable, to measure the secondary properties directly without reference to primary properties. Direct measurement of secondary properties can be carried out in practice, but the ultimate aim is to predict secondary properties based on primary properties, as when determining pipe resistance to flow from known relationships, feeding in data from primary properties of a given liquid (viscosity and density), as well as properties of a pipeline (roughness). Since many relationships in powder technology are complex and often are not yet available in many areas, particle properties are mainly used for qualitative assessment of the behavior of suspensions and powders, for example, as an equipment selection guide. Since a powder is considered to be a dispersed two-phase system consisting of a dispersed phase of solid particles of different sizes and a gas as the continuous phase, complete characterization of powdered materials is dependent on the properties of a particle as an individual entity, the properties of the assembly of particles, and the interactions between those assemblies and a fluid.

Pp. 109-155

Dependence

Roger B. Nelsen

Particle characterization, i.e., description of primary properties of food powders in a particulate system, underlies all work in particle technology. Primary particle properties such as particle shape and particle density, together with the primary properties of a fluid (viscosity and density), and also the concentration and state of dispersion, govern secondary properties such as settling velocity of particles, rehydration rate of powders, resistance of filter cakes, etc. It could be argued that it is simpler, and more reliable, to measure the secondary properties directly without reference to primary properties. Direct measurement of secondary properties can be carried out in practice, but the ultimate aim is to predict secondary properties based on primary properties, as when determining pipe resistance to flow from known relationships, feeding in data from primary properties of a given liquid (viscosity and density), as well as properties of a pipeline (roughness). Since many relationships in powder technology are complex and often are not yet available in many areas, particle properties are mainly used for qualitative assessment of the behavior of suspensions and powders, for example, as an equipment selection guide. Since a powder is considered to be a dispersed two-phase system consisting of a dispersed phase of solid particles of different sizes and a gas as the continuous phase, complete characterization of powdered materials is dependent on the properties of a particle as an individual entity, the properties of the assembly of particles, and the interactions between those assemblies and a fluid.

Pp. 157-225

Additional Topics

Roger B. Nelsen

Particle characterization, i.e., description of primary properties of food powders in a particulate system, underlies all work in particle technology. Primary particle properties such as particle shape and particle density, together with the primary properties of a fluid (viscosity and density), and also the concentration and state of dispersion, govern secondary properties such as settling velocity of particles, rehydration rate of powders, resistance of filter cakes, etc. It could be argued that it is simpler, and more reliable, to measure the secondary properties directly without reference to primary properties. Direct measurement of secondary properties can be carried out in practice, but the ultimate aim is to predict secondary properties based on primary properties, as when determining pipe resistance to flow from known relationships, feeding in data from primary properties of a given liquid (viscosity and density), as well as properties of a pipeline (roughness). Since many relationships in powder technology are complex and often are not yet available in many areas, particle properties are mainly used for qualitative assessment of the behavior of suspensions and powders, for example, as an equipment selection guide. Since a powder is considered to be a dispersed two-phase system consisting of a dispersed phase of solid particles of different sizes and a gas as the continuous phase, complete characterization of powdered materials is dependent on the properties of a particle as an individual entity, the properties of the assembly of particles, and the interactions between those assemblies and a fluid.

Pp. 227-249