An Introduction to Stochastic Orders
- 1st Edition - September 22, 2015
- Latest edition
- Authors: Felix Belzunce, Carolina Martinez Riquelme, Julio Mulero
- Language: English
An Introduction to Stochastic Orders discusses this powerful tool that can be used in comparing probabilistic models in different areas such as reliability, survival analysis, ri… Read more
An Introduction to Stochastic Orders discusses this powerful tool that can be used in comparing probabilistic models in different areas such as reliability, survival analysis, risks, finance, and economics. The book provides a general background on this topic for students and researchers who want to use it as a tool for their research.
In addition, users will find detailed proofs of the main results and applications to several probabilistic models of interest in several fields, and discussions of fundamental properties of several stochastic orders, in the univariate and multivariate cases, along with applications to probabilistic models.
- Introduces stochastic orders and its notation
- Discusses different orders of univariate stochastic orders
- Explains multivariate stochastic orders and their convex, likelihood ratio, and dispersive orders
Graduate students, PhD students and researchers in probability and statistics
- Dedication
- List of figures
- List of tables
- Preface
- Chapter 1: Preliminaries
- Abstract
- 1.1 Introduction
- 1.2 Univariate distribution notions
- 1.3 Multivariate distribution notions
- 1.4 Summary
- Chapter 2: Univariate stochastic orders
- Abstract
- 2.1 Introduction
- 2.2 The usual stochastic order
- 2.3 The increasing convex order and related orders
- 2.4 The hazard rate and mean residual life orders
- 2.5 The likelihood ratio order
- 2.6 Dispersive orders
- 2.7 Concentration orders
- 2.8 The total time on test transform order
- 2.9 Applications
- 2.10 Summary
- Chapter 3: Multivariate stochastic orders
- Abstract
- 3.1 Introduction
- 3.2 The multivariate usual stochastic order
- 3.3 Multivariate increasing convex orders
- 3.4 Multivariate residual life orders
- 3.5 The multivariate likelihood ratio order
- 3.6 The multivariate dispersive order
- 3.7 Applications
- 3.8 Summary
- Conclusion
- Bibliography
- Edition: 1
- Latest edition
- Published: September 22, 2015
- Language: English
FB
Felix Belzunce
Affiliations and expertise
University of Murcia, SpainCR
Carolina Martinez Riquelme
Affiliations and expertise
University of Murcia, SpainJM
Julio Mulero
Affiliations and expertise
University of Alicante, SpainRead An Introduction to Stochastic Orders on ScienceDirect