Three Essays on Bayesian Claims Reserving Methods in General 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 Three Essays on Bayesian Claims Reserving Methods in General Insurance write by Guangyuan Gao. This book was released on 2016. Three Essays on Bayesian Claims Reserving Methods in General Insurance available in PDF, EPUB and Kindle. This thesis investigates the usefulness of Bayesian modelling to claims reserving in general insurance. It can be divided into two parts: Bayesian methodology and Bayesian claims reserving methods. In the first part, we review Bayesian inference and computational methods. Several examples are provided to demonstrate key concepts. Deriving the predictive distribution and incorporating prior information are focused on as two important facets of Bayesian modelling for claims reserving. In the second part, we make the following contributions: 1. Propose a compound model as a stochastic version of the payments per claim incurred method. 2. Introduce the Bayesian basis expansion models and Hamiltonian Monte Carlo method to the claims reserving problem. 3. Use copulas to aggregate the doctor benefit and the hospital benefit in the WorkSafe Victoria scheme. All the Bayesian models proposed are first checked by applying them to simulated data. We estimate the liabilities of outstanding claims arising from the weekly benefit, the doctor benefit and the hospital benefit in the WorkSafe Victoria scheme. We compare our results with those from the PwC report. Except for several Markov chain Monte Carlo algorithms written for the purpose in R and WinBUGS, we largely rely on Stan, a specialized software environment which applies Hamiltonian Monte Carlo method and variational Bayes.
Bayesian Claims Reserving Methods in Non-life Insurance with Stan
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
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.
Claims Reserving in General Insurance
Claims Reserving in General 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 Claims Reserving in General Insurance write by David Hindley. This book was released on 2017-10-26. Claims Reserving in General Insurance available in PDF, EPUB and Kindle. This is a single comprehensive reference source covering the key material on this subject, and describing both theoretical and practical aspects.
Using the ODP Bootstrap Model
Using the ODP Bootstrap Model - 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 Using the ODP Bootstrap Model write by Mark R. Shapland. This book was released on 2016. Using the ODP Bootstrap Model available in PDF, EPUB and Kindle.
