Lundberg Approximations for Compund Distributions With Insurance Applications 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024


Lundberg Approximations for Compund Distributions With Insurance Applications

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Gordon E. Willmot 作者
Springer
譯者
2000-10-23 出版日期
260 頁數
USD 79.95 價格
Paperback
叢書系列
9780387951355 圖書編碼

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Lundberg Approximations for Compund Distributions With Insurance Applications 在線電子書 epub 下載 mobi 下載 pdf 下載 txt 下載 2024

Lundberg Approximations for Compund Distributions With Insurance Applications 在線電子書 epub 下載 pdf 下載 mobi 下載 txt 下載 2024

Lundberg Approximations for Compund Distributions With Insurance Applications 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024



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Lundberg Approximations for Compund Distributions With Insurance Applications 在線電子書 著者簡介


Lundberg Approximations for Compund Distributions With Insurance Applications 在線電子書 著者簡介


Lundberg Approximations for Compund Distributions With Insurance Applications 在線電子書 pdf 下載 txt下載 epub 下載 mobi 在線電子書下載

Lundberg Approximations for Compund Distributions With Insurance Applications 在線電子書 圖書描述

This monograph discusses Lundberg approximations for compound distributions with special emphasis on applications in insurance risk modeling. These distributions are somewhat awkward from an analytic standpoint, but play a central role in insurance and other areas of applied probability modeling such as queueing theory. Consequently, the material is of interest to researchers and graduate students interested in these areas. The material is self-contained, but an introductory course in insurance risk theory is beneficial to prospective readers. Lundberg asymptotics and bounds have a long history in connection with ruin probabilities and waiting time distributions in queueing theory, and have more recently been extended to compound distributions. This connection has its roots in the compound geometric representation of the ruin probabilities and waiting time distributions. A systematic treatment of these approximations is provided, drawing heavily on monotonicity ideas from reliability theory. The results are then applied to the solution of defective renewal equations, analysis of the time and severity of insurance ruin, and renewal risk models, which may also be viewed in terms of the equilibrium waiting time distribution in the G/G/1 queue. Many known results are derived and extended so that much of the material has not appeared elsewhere in the literature. A unique feature involves the use of elementary analytic techniques which require only undergraduate mathematics as a prerequisite. New proofs of many results are given, and an extensive bibliography is provided. Gordon Willmot is Professor of Statistics and Actuarial Science at the University of Waterloo. His research interests are in insurance risk and queueing theory. He is an associate editor of the North American Actuarial Journal.

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