Full Bayesian Analysis of Claims Reserving Uncertainty

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Release : 2016
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Full Bayesian Analysis of Claims Reserving Uncertainty - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Full Bayesian Analysis of Claims Reserving Uncertainty write by Gareth Peters. This book was released on 2016. Full Bayesian Analysis of Claims Reserving Uncertainty available in PDF, EPUB and Kindle. We revisit the gamma-gamma Bayesian chain-ladder (BCL) model for claims reserving in non-life insurance. This claims reserving model is usually used in an empirical Bayesian way using plug-in estimates for variance parameters, because this empirical Bayesian framework allows us for closed form solutions. The main purpose of this paper is to develop the full Bayesian case also considering prior distributions for variance parameters, and to study the resulting sensitivities.

Bayesian Claims Reserving Methods in Non-life Insurance with Stan

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Release : 2018-12-31
Genre : Mathematics
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Book Rating : 091/5 ( reviews)

Bayesian Claims Reserving Methods in Non-life Insurance with Stan - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Bayesian Claims Reserving Methods in Non-life Insurance with Stan write by Guangyuan Gao. This book was released on 2018-12-31. Bayesian Claims Reserving Methods in Non-life Insurance with Stan available in PDF, EPUB and Kindle. 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 Claims Reserving Methods in Insurance

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Release : 2008-06-09
Genre : Business & Economics
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Stochastic Claims Reserving Methods in Insurance - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Stochastic Claims Reserving Methods in Insurance write by Mario V. Wüthrich. This book was released on 2008-06-09. Stochastic Claims Reserving Methods in Insurance available in PDF, EPUB and Kindle. 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.

Stochastic Claims Reserving Methods in Insurance

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Release : 2008-04-30
Genre : Business & Economics
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Book Rating : 727/5 ( reviews)

Stochastic Claims Reserving Methods in Insurance - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Stochastic Claims Reserving Methods in Insurance write by Mario V. Wüthrich. This book was released on 2008-04-30. Stochastic Claims Reserving Methods in Insurance available in PDF, EPUB and Kindle. 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.

Bayesian Analysis and Uncertainty in Economic Theory

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Release : 1987-07-30
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Book Rating : 640/5 ( reviews)

Bayesian Analysis and Uncertainty in Economic Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Bayesian Analysis and Uncertainty in Economic Theory write by Richard Michael Cyert. This book was released on 1987-07-30. Bayesian Analysis and Uncertainty in Economic Theory available in PDF, EPUB and Kindle.