Bayesian Claims Reserving Methods In Non Life Insurance With Stan
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Bayesian Claims Reserving Methods In Non Life Insurance With Stan
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Author : Guangyuan Gao
language : en
Publisher: Springer
Release Date : 2018-12-31
Bayesian Claims Reserving Methods In Non Life Insurance With Stan written by Guangyuan Gao and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-12-31 with Mathematics categories.
This book first provides a review of various aspects of Bayesian statistics. It then investigates three types of claims reserving models in the Bayesian framework: chain ladder models, basis expansion models involving a tail factor, and multivariate copula models. For the Bayesian inferential methods, this book largely relies on Stan, a specialized software environment which applies Hamiltonian Monte Carlo method and variational Bayes.
Stochastic Loss Reserving Using Generalized Linear Models
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Author : Greg Taylor
language : en
Publisher:
Release Date : 2016-05-04
Stochastic Loss Reserving Using Generalized Linear Models written by Greg Taylor and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-05-04 with categories.
In this monograph, authors Greg Taylor and Gráinne McGuire discuss generalized linear models (GLM) for loss reserving, beginning with strong emphasis on the chain ladder. The chain ladder is formulated in a GLM context, as is the statistical distribution of the loss reserve. This structure is then used to test the need for departure from the chain ladder model and to consider natural extensions of the chain ladder model that lend themselves to the GLM framework.
Stochastic Claims Reserving Methods In Insurance
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Author : Mario V. Wüthrich
language : en
Publisher: John Wiley & Sons
Release Date : 2008-04-30
Stochastic Claims Reserving Methods In Insurance written by Mario V. Wüthrich and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-04-30 with Business & Economics categories.
Claims reserving is central to the insurance industry. Insurance liabilities depend on a number of different risk factors which need to be predicted accurately. This prediction of risk factors and outstanding loss liabilities is the core for pricing insurance products, determining the profitability of an insurance company and for considering the financial strength (solvency) of the company. Following several high-profile company insolvencies, regulatory requirements have moved towards a risk-adjusted basis which has lead to the Solvency II developments. The key focus in the new regime is that financial companies need to analyze adverse developments in their portfolios. Reserving actuaries now have to not only estimate reserves for the outstanding loss liabilities but also to quantify possible shortfalls in these reserves that may lead to potential losses. Such an analysis requires stochastic modeling of loss liability cash flows and it can only be done within a stochastic framework. Therefore stochastic loss liability modeling and quantifying prediction uncertainties has become standard under the new legal framework for the financial industry. This book covers all the mathematical theory and practical guidance needed in order to adhere to these stochastic techniques. Starting with the basic mathematical methods, working right through to the latest developments relevant for practical applications; readers will find out how to estimate total claims reserves while at the same time predicting errors and uncertainty are quantified. Accompanying datasets demonstrate all the techniques, which are easily implemented in a spreadsheet. A practical and essential guide, this book is a must-read in the light of the new solvency requirements for the whole insurance industry.
Non Life Insurance Mathematics
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Author : Thomas Mikosch
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-04-21
Non Life Insurance Mathematics written by Thomas Mikosch and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-04-21 with Mathematics categories.
"Offers a mathematical introduction to non-life insurance and, at the same time, to a multitude of applied stochastic processes. It gives detailed discussions of the fundamental models for claim sizes, claim arrivals, the total claim amount, and their probabilistic properties....The reader gets to know how the underlying probabilistic structures allow one to determine premiums in a portfolio or in an individual policy." --Zentralblatt für Didaktik der Mathematik
Introduction To Information Retrieval
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Author : Christopher D. Manning
language : en
Publisher: Cambridge University Press
Release Date : 2008-07-07
Introduction To Information Retrieval written by Christopher D. Manning and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-07-07 with Computers categories.
Class-tested and coherent, this textbook teaches classical and web information retrieval, including web search and the related areas of text classification and text clustering from basic concepts. It gives an up-to-date treatment of all aspects of the design and implementation of systems for gathering, indexing, and searching documents; methods for evaluating systems; and an introduction to the use of machine learning methods on text collections. All the important ideas are explained using examples and figures, making it perfect for introductory courses in information retrieval for advanced undergraduates and graduate students in computer science. Based on feedback from extensive classroom experience, the book has been carefully structured in order to make teaching more natural and effective. Slides and additional exercises (with solutions for lecturers) are also available through the book's supporting website to help course instructors prepare their lectures.
Solutions Manual For Introduction To Credibility Theory Third Edition
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Author : Thomas N. Herzog
language : en
Publisher:
Release Date : 1999
Solutions Manual For Introduction To Credibility Theory Third Edition written by Thomas N. Herzog and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Credibility theory (Insurance) categories.
Generalized Linear Models For Insurance Rating
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Author : Mark Goldburd
language : en
Publisher:
Release Date : 2016-06-08
Generalized Linear Models For Insurance Rating written by Mark Goldburd and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-06-08 with categories.
Bayesian Statistics In Actuarial Science
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Author : Stuart A. Klugman
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17
Bayesian Statistics In Actuarial Science written by Stuart A. Klugman and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-17 with Business & Economics categories.
The debate between the proponents of "classical" and "Bayesian" statistica} methods continues unabated. It is not the purpose of the text to resolve those issues but rather to demonstrate that within the realm of actuarial science there are a number of problems that are particularly suited for Bayesian analysis. This has been apparent to actuaries for a long time, but the lack of adequate computing power and appropriate algorithms had led to the use of various approximations. The two greatest advantages to the actuary of the Bayesian approach are that the method is independent of the model and that interval estimates are as easy to obtain as point estimates. The former attribute means that once one learns how to analyze one problem, the solution to similar, but more complex, problems will be no more difficult. The second one takes on added significance as the actuary of today is expected to provide evidence concerning the quality of any estimates. While the examples are all actuarial in nature, the methods discussed are applicable to any structured estimation problem. In particular, statisticians will recognize that the basic credibility problem has the same setting as the random effects model from analysis of variance.
Regression Modeling With Actuarial And Financial Applications
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Author : Edward W. Frees
language : en
Publisher: Cambridge University Press
Release Date : 2010
Regression Modeling With Actuarial And Financial Applications written by Edward W. Frees and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Business & Economics categories.
This book teaches multiple regression and time series and how to use these to analyze real data in risk management and finance.
Proceedings Of The Casualty Actuarial Society
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Author : Casualty Actuarial Society
language : en
Publisher:
Release Date : 1978
Proceedings Of The Casualty Actuarial Society written by Casualty Actuarial Society and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1978 with Casualty insurance categories.
List of members for the years 1914-20 are included in v. 1-7, after which they are continued in the Year book of the Society, begun in 1922.