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   系統號碼946679
   書刊名The Cramér-Lundberg model and its variants [electronic resource] : a queueing perspective /
   主要著者Mandjes, Michel.
   其他著者Boxma, O. J.
   出版項Cham : Imprint: Springer, 2023.
   索書號HG8781
   ISBN9783031391057
   標題Insurance-Mathematical models.
Actuarial Mathematics.
Probability Theory.
Stochastic Processes.
   電子資源https://doi.org/10.1007/978-3-031-39105-7
   叢書名Springer actuarial textbooks,2523-3319;Springer actuarial textbooks.2523-3319
   
    
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內容簡介This book offers a comprehensive examination of the Cramér-Lundberg model, which is the most extensively researched model in ruin theory. It covers the fundamental dynamics of an insurance company's surplus level in great detail, presenting a thorough analysis of the ruin probability and related measures for both the standard model and its variants. Providing a systematic and self-contained approach to evaluate the crucial quantities found in the Cramér-Lundberg model, the book makes use of connections with related queueing models when appropriate, and its emphasis on clean transform-based techniques sets it apart from other works. In addition to consolidating a wealth of existing results, the book also derives several new outcomes using the same methodology. This material is complemented by a thoughtfully chosen collection of exercises. The book's primary target audience is master's and starting PhD students in applied mathematics, operations research, and actuarial science, although it also serves as a useful methodological resource for more advanced researchers. The material is self-contained, requiring only a basic grounding in probability theory and some knowledge of transform techniques.

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