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Mixed Poisson Processes

Mixed Poisson Processes PDF Author: J Grandell
Publisher: CRC Press
ISBN: 1000153037
Category : Mathematics
Languages : en
Pages : 284

Book Description
To date, Mixed Poisson processes have been studied by scientists primarily interested in either insurance mathematics or point processes. Work in one area has often been carried out without knowledge of the other area. Mixed Poisson Processes is the first book to combine and concentrate on these two themes, and to distinguish between the notions of distributions and processes. The first part of the text gives special emphasis to the estimation of the underlying intensity, thinning, infinite divisibility, and reliability properties. The second part is, to a greater extent, based on Lundberg's thesis.

Mixed Poisson Processes

Mixed Poisson Processes PDF Author: J Grandell
Publisher: CRC Press
ISBN: 1000153037
Category : Mathematics
Languages : en
Pages : 284

Book Description
To date, Mixed Poisson processes have been studied by scientists primarily interested in either insurance mathematics or point processes. Work in one area has often been carried out without knowledge of the other area. Mixed Poisson Processes is the first book to combine and concentrate on these two themes, and to distinguish between the notions of distributions and processes. The first part of the text gives special emphasis to the estimation of the underlying intensity, thinning, infinite divisibility, and reliability properties. The second part is, to a greater extent, based on Lundberg's thesis.

Lectures on Risk Theory

Lectures on Risk Theory PDF Author:
Publisher: Springer Science & Business Media
ISBN: 3322905705
Category : Technology & Engineering
Languages : en
Pages : 212

Book Description
Twenty-five years ago, Hans Blihlmann published his famous monograph Mathe matical Methods in Risk Theory in the series Grundlehren der Mathematischen Wis8enschaften and thus established nonlife actuarial mathematics as a recognized subject of probability theory and statistics with a glance towards economics. This book was my guide to the subject when I gave my first course on nonlife actuarial mathematics in Summer 1988, but at the same time I tried to incorporate into my lectures parts of the rapidly growing literature in this area which to a large extent was inspired by Blihlmann's book. The present book is entirely devoted to a single topic of risk theory: Its subject is the development in time of a fixed portfolio of risks. The book thus concentrates on the claim number process and its relatives, the claim arrival process, the aggregate claims process, the risk process, and the reserve process. Particular emphasis is laid on characterizations of various classes of claim number processes, which provide alternative criteria for model selection, and on their relation to the trinity of the binomial, Poisson, and negativebinomial distributions. Special attention is also paid to the mixed Poisson process, which is a useful model in many applications, to the problems of thinning, decomposition, and superposition of risk processe8, which are important with regard to reinsurance, and to the role of martingales, which occur in a natural way in canonical situations.

Mixed Poisson Processes

Mixed Poisson Processes PDF Author: J Grandell
Publisher: CRC Press
ISBN: 1000109992
Category : Mathematics
Languages : en
Pages : 281

Book Description
To date, Mixed Poisson processes have been studied by scientists primarily interested in either insurance mathematics or point processes. Work in one area has often been carried out without knowledge of the other area. Mixed Poisson Processes is the first book to combine and concentrate on these two themes, and to distinguish between the notions of distributions and processes. The first part of the text gives special emphasis to the estimation of the underlying intensity, thinning, infinite divisibility, and reliability properties. The second part is, to a greater extent, based on Lundberg's thesis.

Stochastic Processes: Theory and Methods

Stochastic Processes: Theory and Methods PDF Author: D N Shanbhag
Publisher: Gulf Professional Publishing
ISBN: 9780444500144
Category : Mathematics
Languages : en
Pages : 990

Book Description
This volume in the series contains chapters on areas such as pareto processes, branching processes, inference in stochastic processes, Poisson approximation, Levy processes, and iterated random maps and some classes of Markov processes. Other chapters cover random walk and fluctuation theory, a semigroup representation and asymptomatic behavior of certain statistics of the Fisher-Wright-Moran coalescent, continuous-time ARMA processes, record sequence and their applications, stochastic networks with product form equilibrium, and stochastic processes in insurance and finance. Other subjects include renewal theory, stochastic processes in reliability, supports of stochastic processes of multiplicity one, Markov chains, diffusion processes, and Ito's stochastic calculus and its applications. c. Book News Inc.

Scientific and Technical Aerospace Reports

Scientific and Technical Aerospace Reports PDF Author:
Publisher:
ISBN:
Category : Aeronautics
Languages : en
Pages : 1050

Book Description


Abstracts of Communications

Abstracts of Communications PDF Author:
Publisher:
ISBN:
Category : Mathematical statistics
Languages : en
Pages : 472

Book Description


Non-Life Insurance-Linked Securities: Risk and Pricing Analysis

Non-Life Insurance-Linked Securities: Risk and Pricing Analysis PDF Author: Thomas Nowak
Publisher: VVW GmbH
ISBN: 3899528387
Category : Business & Economics
Languages : en
Pages : 316

Book Description
Unter Insurance-Linked Securities (ILS) versteht man innovative Finanzprodukte, welche Versicherungsrisiken aus den eng abgegrenzten Märkten der Erst- und Rückversicherungswirtschaft herauslösen und mittels Verbriefung auf Kapitalmärkten handelbar machen. Durch ILS erhalten Investoren die Möglichkeit, für die Bereitstellung von Deckungskapital in Versicherungsrisiken zu investieren und im Gegenzug eine Versicherungsprämie zu erhalten. Hierbei verfolgt das Werk zwei Ziele. Zum Einen, die Durchführung einer genauen Analyse der zugrunde liegenden Zahlungsströme, der beworbenen Eigenschaften und jener Risiken, welche mit einer Investition in ILS verbunden sind. Zum Anderen, die Überprüfung der Anwendbarkeit und Passgenauigkeit vorgeschlagener versicherungsmathematischer und marktorientierter Bewertungsverfahren für ILS sowie die Unterbreitung möglicher Vorschläge für Bewertungsverfahren. Da ILS regelmäßig dazu verwendet werden Extremrisiken zu verbriefen, werden beide Untersuchungen unter expliziter Berücksichtigung der statistischen Eigenschaften von Extremrisiken durchgeführt. Im Ergebnis lässt sich festhalten, dass ILS Investitionen mit eigenen Spezifika darstellen. Investoren sollten diese kennen und berücksichtigen. Dies gilt gerade vor dem Hintergrund der stetig steigenden Zahl von ILS, welche insbesondere in den Zeiten der Niedrigzinsphase als attraktives Investment gesehen werden. Das Buch richtet sich an Investoren und Interessierte, die sich über ILS als Investitionen und deren Bewertung informieren möchten.

Scientific and Technical Aerospace Reports

Scientific and Technical Aerospace Reports PDF Author:
Publisher:
ISBN:
Category : Aeronautics
Languages : en
Pages : 1362

Book Description


Survival and Event History Analysis

Survival and Event History Analysis PDF Author: Odd Aalen
Publisher: Springer Science & Business Media
ISBN: 038768560X
Category : Mathematics
Languages : en
Pages : 550

Book Description
The aim of this book is to bridge the gap between standard textbook models and a range of models where the dynamic structure of the data manifests itself fully. The common denominator of such models is stochastic processes. The authors show how counting processes, martingales, and stochastic integrals fit very nicely with censored data. Beginning with standard analyses such as Kaplan-Meier plots and Cox regression, the presentation progresses to the additive hazard model and recurrent event data. Stochastic processes are also used as natural models for individual frailty; they allow sensible interpretations of a number of surprising artifacts seen in population data. The stochastic process framework is naturally connected to causality. The authors show how dynamic path analyses can incorporate many modern causality ideas in a framework that takes the time aspect seriously. To make the material accessible to the reader, a large number of practical examples, mainly from medicine, are developed in detail. Stochastic processes are introduced in an intuitive and non-technical manner. The book is aimed at investigators who use event history methods and want a better understanding of the statistical concepts. It is suitable as a textbook for graduate courses in statistics and biostatistics.

Point Processes and Their Statistical Inference

Point Processes and Their Statistical Inference PDF Author: Alan Karr
Publisher: Routledge
ISBN: 1351423827
Category : Mathematics
Languages : en
Pages : 524

Book Description
First Published in 2017. Routledge is an imprint of Taylor & Francis, an Informa company.