Statistics for fission track analysis : the line segment model and its applications /: the line segment model and its applications. (©2005)

• Record Type: Book
• Further Information: Note: Rex Galbraith.
• Other Names: Galbraith, Rex, 1942-
• Contents: INTRODUCTION; What are Fission Tracks?; How are they Observed?; Why are they Useful?; Applications of Fission Track analysis; Mathematical Representation of Fission Tracks; Fission Track Dating and Provenance Studies; Thermal Histories and Track Length Distributions; Sampling by Plane Section; Intitial Formation of Tracks; Shortening of Tracks by Heat; Properties of Apatite; Bibliographic Notes; ; THE POISSON LINE SEGMENT MODEL; Joint Distribution of Length and Orientation; The Number of Tracks with a Given Attribute; The Expected Number of Tracks Intersecting a Plane; Track Density and Equivalent Isotropic Length; Tracks Intersecting a Prismatic Face; Effect of Non-Prismatic Face on Track Density; Track counts from a Dosimeter Glass; Spatial and Temporal Variation; Remarks; Bibliographic Notes; ; TRACK COUNTS AND DENSITIES: FISSION TRACK DATING; The Mathematical Basis of Fission Track Dating; The External Detector Method; Observed and Theoretical Track Densities; A Short Digression; Estimates of Fission Track Age; Inspection of Single Grain Data; Radial Plot of Single Grain Ages; Chi-Square Age Homogeneity Test; A Measure of Age Dispersion; A Protocol for Data Analysis; Dealing with Small counts; Practical Considerations; Remarks; Historical Note; Bibliographic Notes; ; THE POPULATION METHOD; Experimental Method and Data; Theoretical and Observed Track Densities; An Estimate of the Uranium Dispersion; A Uranium Homogeneity Test; Estimates of Fission Track Age; Summarising and Inspecting the Data; Age Homogeneity Test; A Measure of Dispersion of True Fission Track Ages; Counts over Unequal Areas; A Protocol for data Analysis; Discussion; The Population-Subtraction Method; Remarks; Bibliographic Notes; ; DISCRETE MIXTURES OF AGES; Maximum Likelihood Estimation of a Common Age; Discrete Mixture Models; Example" A Synthetic Mixture of Two Ages; Example: Apatite Data from the Bengal Fan; Maximum Likelihood Estimation Formulae; How Many Ages to Fit?; Example: Zircon Ages from Mount Tom; Data from more than One Irradiation; Bibliographic Notes; ; CONTINUOUS MIXTURES OF AGES; Example: Otway Data from Victoria, Australia; General Approach; A Random Effects Model with Binomial Errors; Maximum Likelihood Estimation Formulae; A Random Effects Model with Normal Errors; Examples; Finite Mixtures of Random Effects Models; A Minimum Age Model; Data and Statistical Model with Binomial Errors; Maximum Likelihood Estimation Formulae; A Minimum Age Model with Normal Errors; Example: Apatite Data from China; A Synthetic Mixture Revisited; Grain Age Distributions; Remarks; Bibliographic Notes; ; PROBABILITY DISTRIBUTIONS OF LENGTHS AND ANGLES; All Tracks Having the Same Length; Each Track Having One of Two Lengths; Several Different Lengths; A General Isotropic Length Distribution; A General Anisotropic Length Distribution; Distributions on a Prismatic Face; Horizontal Confined Track Lengths; Some explicit Formulae; A Two-Component Mixture of Anisotropic Lengths; Quantitative Effects of Anisotropy; Parametric Models for Length Against Angle; Bibliographic Notes; ; OBSERVATIONAL FEATURES OF TRACK MEASUREMENTS; Horizontal Confined Tracks; Length Bias; The Loaded Dog Experiments; Empirical Verification of Length Bias; Fracture-Thickness Bias; Orientation Bias; Surface Proximity Bias; Estimate of m from Horizontal Confined Tracks; Projected Semi-Track Lengths and Angles; Semi-Track Lengths and Angles; Bibliographic Notes; ; FURTHER DEVELOPMENTS; Thermal History Parameters; Combined Likelihood for Track Measurements; Annealing Experiments; Annealing Data; Annealing Models; Fitting Annealing Models; Calculating the Length Distribution; Inferring Times and Temperatures from Lengths; Multi-Compositional Annealing Models; Bibliographic Notes; ; APPENDIX; Poisson Processes in One, Two, and Three Dimensions; Notes on the Poisson Distribution; Relation Between Binomial and Poisson Distribution; Standard Errors and Confidence Intervals; Components of Error; Statistical Significance Tests and p-Values; Radial Plots; Histograms and "Probability Density" Plots; Parametric Models and Likelihood Inference
• Publisher Details: Boca Raton : Chapman & Hall
• Publication Date: 2005
• Copyright Date: 2005
• Extent: 1 online resource (xiv, 219 pages), illustrations
• Subjects: 550/.72/7; Fission track dating; Geology -- Statistical methods; Fission track dating; Geology -- Statistical methods; Electronic books
• Languages: English
• ISBNs: 1584885335; 9781584885337; 9781420034929; 1420034928
• Notes: Note: Includes bibliographical references (pages 201-208) and index.
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.