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Matrix-Exponen tial Distributions in Applied Probability - 9781493983773
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Item specifics
- Condition
- Book Title
- Matrix-Exponential Distributions in Applied Probability
- ISBN
- 9781493983773
- Subject Area
- Data Analysis
- Publication Name
- Matrix-Exponential Distributions in Applied Probability
- Publisher
- Springer-Verlag New York Inc.
- Subject
- Mathematics, Management
- Publication Year
- 2018
- Series
- Probability Theory and Stochastic Modelling
- Type
- Textbook
- Format
- Paperback
- Language
- English
- Item Height
- 235 mm
- Item Width
- 155 mm
- Number of Pages
- 736 Pages
About this product
Product Information
This book contains an in-depth treatment of matrix-exponential (ME) distributions and their sub-class of phase-type (PH) distributions. Loosely speaking, an ME distribution is obtained through replacing the intensity parameter in an exponential distribution by a matrix. The ME distributions can also be identified as the class of non-negative distributions with rational Laplace transforms. If the matrix has the structure of a sub-intensity matrix for a Markov jump process we obtain a PH distribution which allows for nice probabilistic interpretations facilitating the derivation of exact solutions and closed form formulas. The full potential of ME and PH unfolds in their use in stochastic modelling. Several chapters on generic applications, like renewal theory, random walks and regenerative processes, are included together with some specific examples from queueing theory and insurance risk. We emphasize our intention towards applications by including an extensive treatment on statistical methods for PH distributions and related processes that will allow practitioners to calibrate models to real data. Aimed as a textbook for graduate students in applied probability and statistics, the book provides all the necessary background on Poisson processes, Markov chains, jump processes, martingales and re-generative methods. It is our hope that the provided background may encourage researchers and practitioners from other fields, like biology, genetics and medicine, who wish to become acquainted with the matrix-exponential method and its applications.
Product Identifiers
Publisher
Springer-Verlag New York Inc.
ISBN-13
9781493983773
eBay Product ID (ePID)
12046538729
Product Key Features
Number of Pages
736 Pages
Language
English
Publication Name
Matrix-Exponential Distributions in Applied Probability
Publication Year
2018
Subject
Mathematics, Management
Type
Textbook
Subject Area
Data Analysis
Series
Probability Theory and Stochastic Modelling
Format
Paperback
Dimensions
Item Height
235 mm
Item Width
155 mm
Volume
81
Additional Product Features
Country/Region of Manufacture
United States
Item description from the seller
Seller business information
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