عنوان

Analysis of doubly truncated data :

(Number (ISBN

9789811362415

(Number (ISBN

9811362416

Erroneous ISBN

9789811362408

Erroneous ISBN

9811362408

Title Proper

Analysis of doubly truncated data :

General Material Designation

[Book]

Other Title Information

an introduction /

First Statement of Responsibility

Achim Dörre, Takeshi Emura.

Place of Publication, Distribution, etc.

Singapore :

Name of Publisher, Distributor, etc.

Springer,

Date of Publication, Distribution, etc.

[2019]

Specific Material Designation and Extent of Item

1 online resource

Series Title

SpringerBriefs in Statistics, JSS research series in statistics

Text of Note

Includes bibliographical references and index.

Text of Note

Intro; Preface; Acknowledgements; Contents; Abbreviations; Notations; 1 Introduction to Double-Truncation; 1.1 Doubly Truncated Data; 1.2 Probability Models for Double-Truncation; 1.3 Truncation Bias; 1.4 Likelihood-Based Inference Under Double-Truncation; 1.4.1 Random Double-Truncation; 1.4.2 Fixed-Length Double-Truncation; 1.4.3 Maximum Likelihood Estimation; 1.4.4 Other Estimation Methods; 1.5 Relation to Censoring; References; 2 Parametric Estimation Under Exponential Family; 2.1 Introduction; 2.2 Special Exponential Family (SEF); 2.2.1 One-Parameter Models; 2.2.2 Two-Parameter Models

Text of Note

2.2.3 Cubic Models2.2.4 More Than Three Parameters; 2.3 Likelihood Function; 2.3.1 One-Parameter Models; 2.3.2 Two-Parameter Models; 2.3.3 Cubic Models; 2.4 The Newton-Raphson Algorithm; 2.4.1 One-Parameter Models; 2.4.2 Two-Parameter Models; 2.4.3 Cubic Models; 2.5 Asymptotic Theory; 2.6 An R Package "double.truncation"; 2.7 Data Analysis; 2.8 Additional Remarks; References; 3 Bayesian Inference for Doubly Truncated Data; 3.1 Introduction; 3.2 Bayesian Inference; 3.3 A Bayesian Model for Double-Truncation; 3.3.1 Birth Process; 3.3.2 Selection Probability

Text of Note

3.3.3 Homogeneous and Inhomogeneous Birth Processes3.3.4 Density of Observed Lifetimes; 3.3.5 Likelihood Function; 3.3.6 Identifiability; 3.3.7 Exponential Families as a Special Case; 3.4 Estimation; 3.4.1 Metropolis Algorithm; 3.5 Numerical Suggestions; 3.5.1 Numerical Determination of the Selection Probability; 3.5.2 Tuning the Metropolis Algorithm; 3.6 Application; References; 4 Nonparametric Inference for Double-Truncation; 4.1 Introduction; 4.2 Heuristic Derivation of the NPMLE of f; 4.3 Joint Maximum Likelihood Estimate of f and k; 4.4 Asymptotic Properties and Bootstrap Approximation

Text of Note

4.5 ApplicationReferences; 5 Linear Regression Under Random Double-Truncation; 5.1 Introduction; 5.2 Model and Method; 5.3 Properties of the Estimators; 5.4 Application; References; Appendix A Formula of the SE for the NPMLE; Appendix B Score Function and Hessian Matrix in a Two-Parameter Model; Appendix C R Codes for the Analysis of Childhood Cancer Data; Appendix D R Code for Bayesian Analysis of Doubly Truncated Data; Appendix E R Code for Non-parametric Analysis of Doubly Truncated Data; Appendix F R Code for Linear Regression Under Random Double Truncation; Index

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Text of Note

This book introduces readers to statistical methodologies used to analyze doubly truncated data. The first book exclusively dedicated to the topic, it provides likelihood-based methods, Bayesian methods, non-parametric methods, and linear regression methods. These procedures can be used to effectively analyze continuous data, especially survival data arising in biostatistics and economics. Because truncation is a phenomenon that is often encountered in non-experimental studies, the methods presented here can be applied to many branches of science. The book provides R codes for most of the statistical methods, to help readers analyze their data. Given its scope, the book is ideally suited as a textbook for students of statistics, mathematics, econometrics, and other fields.

Source for Acquisition/Subscription Address

Springer Nature

Stock Number

com.springer.onix.9789811362415

Title

Analysis of Doubly Truncated Data : An Introduction.

International Standard Book Number

9789811362408

Mathematical statistics.

Mathematical statistics.

MAT029000

PBT

PBT

Number

Edition

Class number

Book number

Dörre, Achim

Emura, Takeshi

Date of Transaction

20200823233458.0

Cataloguing Rules (Descriptive Conventions))

pn

Electronic name

[Book]

Y