書目名稱 | Matrix-Exponential Distributions in Applied Probability |
編輯 | Mogens Bladt,Bo Friis Nielsen |
視頻video | http://file.papertrans.cn/628/627783/627783.mp4 |
概述 | Only book that treats the theory of matrix-exponential distributions comprehensively.Students will benefit from obtaining general tools which may be applied in a variety of situations..The matrix—expo |
叢書名稱 | Probability Theory and Stochastic Modelling |
圖書封面 |  |
描述 | .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 treatmenton 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, t |
出版日期 | Textbook 2017 |
關(guān)鍵詞 | Applied probability; Markov Processes; Matrix--exponential distributions; Numerical methods; Stochastic |
版次 | 1 |
doi | https://doi.org/10.1007/978-1-4939-7049-0 |
isbn_softcover | 978-1-4939-8377-3 |
isbn_ebook | 978-1-4939-7049-0Series ISSN 2199-3130 Series E-ISSN 2199-3149 |
issn_series | 2199-3130 |
copyright | Springer Science+Business Media LLC 2017 |