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INTRODUCTION

Mathew Penrose

in Random Geometric Graphs

Published in print:
2003
Published Online:
September 2007
ISBN:
9780198506263
eISBN:
9780191707858
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198506263.003.0001
Subject:
Mathematics, Probability / Statistics

This introductory chapter contains a general discussion of both the historical and the applied background behind the study of random geometric graphs. A brief overview is presented, along with some ... More


Probability

Stephen J. Blundell and Katherine M. Blundell

in Concepts in Thermal Physics

Published in print:
2009
Published Online:
January 2010
ISBN:
9780199562091
eISBN:
9780191718236
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199562091.003.0003
Subject:
Physics, Particle Physics / Astrophysics / Cosmology

This chapter defines some basic concepts in probability theory. It begins by stating that the probability of occurrence of a particular event, taken from a finite set of possible events, is zero if ... More


Probability Mass Functions

Therese M. Donovan and Ruth M. Mickey

in Bayesian Statistics for Beginners: a step-by-step approach

Published in print:
2019
Published Online:
July 2019
ISBN:
9780198841296
eISBN:
9780191876820
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198841296.003.0008
Subject:
Biology, Biomathematics / Statistics and Data Analysis / Complexity Studies

This chapter focuses on probability mass functions. One of the primary uses of Bayesian inference is to estimate parameters. To do so, it is necessary to first build a good understanding of ... More


Random Variables

James Davidson

in Stochastic Limit Theory: An Introduction for Econometricians

Published in print:
1994
Published Online:
November 2003
ISBN:
9780198774037
eISBN:
9780191596117
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0198774036.003.0008
Subject:
Economics and Finance, Econometrics

Specializing the concepts of Ch. 7 to the case of real variables, this chapter introduces distribution functions, discrete and continuous distributions, and describes examples such as the binomial, ... More


Generalized Linear Models for Data with Non-Normal Distributions

Andy Hector

in The New Statistics with R: An Introduction for Biologists

Published in print:
2015
Published Online:
March 2015
ISBN:
9780198729051
eISBN:
9780191795855
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198729051.003.0009
Subject:
Biology, Biomathematics / Statistics and Data Analysis / Complexity Studies, Ecology

This chapter looks at three of the main types of generalized linear model (GLM). GLMs using the Poisson distribution are a good starting place when dealing with integer count data. The default log ... More


Binomial GLMs

Andy Hector

in The New Statistics with R: An Introduction for Biologists

Published in print:
2021
Published Online:
August 2021
ISBN:
9780198798170
eISBN:
9780191839399
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198798170.003.0017
Subject:
Biology, Biomathematics / Statistics and Data Analysis / Complexity Studies, Ecology

GLMs with a binomial distribution are designed for the analysis of binomial counts (how many times something occurred relative to the total number of possible times it could have occurred). A ... More


GLMs for Binary Data

Andy Hector

in The New Statistics with R: An Introduction for Biologists

Published in print:
2021
Published Online:
August 2021
ISBN:
9780198798170
eISBN:
9780191839399
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198798170.003.0018
Subject:
Biology, Biomathematics / Statistics and Data Analysis / Complexity Studies, Ecology

Binomial GLMs can also be used to analyse binary data as a special case, with some minor differences introduced into the analysis by the constrained nature of the binary data.


Introduction To Stochastic Processes

Abraham Nitzan

in Chemical Dynamics in Condensed Phases: Relaxation, Transfer and Reactions in Condensed Molecular Systems

Published in print:
2006
Published Online:
November 2020
ISBN:
9780198529798
eISBN:
9780191916649
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198529798.003.0013
Subject:
Chemistry, Physical Chemistry

As discussed in Section 1.5, the characterization of observables as random variables is ubiquitous in descriptions of physical phenomena. This is not immediately obvious in view of the fact that ... More


Random Variables

James Davidson

in Stochastic Limit Theory: An Introduction for Econometricians

Published in print:
2021
Published Online:
November 2021
ISBN:
9780192844507
eISBN:
9780191927201
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780192844507.003.0008
Subject:
Economics and Finance, Econometrics

Specializing the concepts of Chapter 7 to the case of real variables, this chapter introduces distribution functions, discrete and continuous distributions, and describes examples such as the ... More


Nonextensive Diffusion Entropy Analysis and Teen Birth Phenomena

N. Scafetta, P. Grigolini, P. Hamilton, and B. J. West

in Nonextensive Entropy: Interdisciplinary Applications

Published in print:
2004
Published Online:
November 2020
ISBN:
9780195159769
eISBN:
9780197562024
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780195159769.003.0021
Subject:
Earth Sciences and Geography, Atmospheric Sciences

A complex process is often a balance between nonscaling and scaling components. We show how the nonextensive Tsallis g-entropy indicator may be interpreted as a measure of the nonscaling condition ... More


Review Of Some Mathematical And Physical Subjects

Abraham Nitzan

in Title Pages

Published in print:
2006
Published Online:
November 2020
ISBN:
9780198529798
eISBN:
9780191916649
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198529798.003.0006
Subject:
Chemistry, Physical Chemistry

This chapter reviews some subjects in mathematics and physics that are used in different contexts throughout this book. The selection of subjects and the level of their coverage reflect the ... More


Diffusion and Drug Dispersion

W. Mark Saltzman

in Drug Delivery: Engineering Principles for Drug Therapy

Published in print:
2001
Published Online:
November 2020
ISBN:
9780195085891
eISBN:
9780197560501
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780195085891.003.0008
Subject:
Chemistry, Medicinal Chemistry

Most biological processes occur in an environment that is predominantly water: a typical cell contains 70-85% water and the extracellular space of most tissues is 99%. Even the brain, with its ... More


Raman Spectroscopy Under Liquid Nitrogen

Robert N. Compton and Michael A. Duncan

in Laser Experiments for Chemistry and Physics

Published in print:
2015
Published Online:
December 2015
ISBN:
9780198742975
eISBN:
9780191816932
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198742975.003.0019
Subject:
Physics, Atomic, Laser, and Optical Physics

Laser Raman spectroscopy has been a powerful tool for the characterization of molecules for many years. This chapter describes a novel technique for the recording of Raman spectra under liquid ... More


Parallel Prefix AlgorithmsOn Linked Lists

S. Lakshmivarahan and Sudarshan K. Dhall

in Parallel Computing Using the Prefix Problem

Published in print:
1994
Published Online:
November 2020
ISBN:
9780195088496
eISBN:
9780197560549
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780195088496.003.0010
Subject:
Computer Science, Mathematical Theory of Computation

This Chapter describes algorithms for computing prefixes/suffixes in parallel when the input data is in the form of a linked list. Developments in this Chapter complement those in Chapter 3. We ... More


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