Mixture of bivariate Poisson regression models with an application to insurance

In a recent paper Bermúdez [2009] used bivariate Poisson regression models for ratemaking in car insurance, and included zero-inflated models to account for the excess of zeros and the overdispersion in the data set. In the present paper, we revisit this model in order to consider alternatives. We propose a 2-finite mixture of bivariate Poisson regression models to demonstrate that the overdispersion in the data requires more structure if it is to be taken into account, and that a simple zero-inflated bivariate Poisson model does not suffice. At the same time, we show that a finite mixture of bivariate Poisson regression models embraces zero-inflated bivariate Poisson regression models as a special case. Additionally, we describe a model in which the mixing proportions are dependent on covariates when modelling the way in which each individual belongs to a separate cluster. Finally, an EM algorithm is provided in order to ensure the models’ ease-of-fit. These models are applied to the same automobile insurance claims data set as used in Bermúdez [2009] and it is shown that the modelling of the data set can be improved considerably.

How to use the standard model with own data?

In this work discuss the use of the standard model for the calculation of the solvency capital requirement (SCR) when the company aims to use the specific parameters of the model on the basis of the experience of its portfolio. In particular, this analysis focuses on the formula presented in the latest quantitative impact study (2010 CEIOPS) for non-life underwriting premium and reserve risk. One of the keys of the standard model for premium and reserves risk is the correlation matrix between lines of business. In this work we present how the correlation matrix between lines of business could be estimated from a quantitative perspective, as well as the possibility of using a credibility model for the estimation of the matrix of correlation between lines of business that merge qualitative and quantitative perspective.

Price policies and Price dispersion in the private healthcare insurance industry: The Catalan case

We present an overlapping generations model that explains price dispersion among Catalonian healthcare insurance firms. The model shows that firms with different premium policies can coexist. Furthermore, if interest rates are low, firms that apply equal premium to all insureds can charge higher average prices than insurers that set premiums according to the risk of insured. Economic theory, health insurance, health economics.

White Paper on Private Health Insurance

This White Paper, which arises from commitments in the Action Programme for the New Millennium, sets out the Government’s policy objectives and proposals regarding the role of private health insurance in the overall healthcare system, the regulation of the health insurance market, and the corporate structure and status of the Voluntary Health Insurance Board Download the Report here

Statistical tests for scaling in the inter-event times of earthquakes in California

We explore in depth the validity of a recently proposed scaling law for earthquake inter-event time distributions in the case of the Southern California, using the waveform cross-correlation catalog of Shearer et al. Two statistical tests are used: on the one hand, the standard two-sample Kolmogorov-Smirnov test is in agreement with the scaling of the distributions. On the other hand, the one-sample Kolmogorov-Smirnov statistic complemented with Monte Carlo simulation of the inter-event times, as done by Clauset et al., supports the validity of the gamma distribution as a simple model of the scaling function appearing on the scaling law, for rescaled inter-event times above 0.01, except for the largest data set (magnitude greater than 2). A discussion of these results is provided.

Private Medical Insurance in Ireland

Private Medical Insurance in Ireland On 17 January 2007 The Minister for Health and Children announced that she had appointed a three person group comprising Colm Barrington (chair), Seamus Creedon and Dorothea Dowling (the Group) to carry out a business appraisal of the private medical insurance (PMI) market in Ireland and to report back to her on the subject by 31 March 2007. The Ministerâ?Ts announcement included the following terms of reference for the Group: Click here to download PDF 351kb

Supplementary Report of the HIA to the Minister for Health, in accordance with Section 7E(1)(b) of the Health Insurance Acts, 1994-2009 (Redacted Version)

The purpose of this Supplementary Report is to advise on how the budgetary measures impact on the conclusions in relation to tax credits and stamp duty included in the Authority’s November 2011 Report. in doing so, we will assess the direct impacts and we will discuss some scenarios. However, the Authority’s advice in this area relies on projections of the health insurance market and, in light of the above, there is considerable uncertainty surrounding any projections of how claims inflation or the market size may develop, even in the short and medium terms. Supplementary Report of the HIA to the Minister for Health, in accordance with Section 7E(1)(b) of the Health Insurance Acts, 1994-2009 (Redacted Version) Click here to download PDF 3.2mb

Report of the HIA to the Minister for Health, in accordance with Section 7E(1)(b) of the Health Insurance Acts, 1994-2009 (Redacted Version)

The Authority has been asked by the Minister for Health to prepare a Report under Section 7E (1) (b) of the Health Insurance Acts 1994-2009 (“the Health Insurance Acts”). For the purposes of the legislation, the relevant period is 1 July 2010 to 30 June 2011. The basis of the Report is specified in the legislation   Click here to download PDF 7.3mb Click here to download the supplementary document PDF 3.2mb

Review of Measures to Reduce Costs in the Private Health Insurance Market 2013

Independent Report to the Minister for Health and Health Insurance Council Click here to download PDF 179KB  

Report to the Minister for Health from the Health Insurance Authority (Redacted) on an evaluation and analysis of returns for 1 July 2012 to 30 June 2013 including advice on risk equalisation credits

Report to the Minister for Health from the Health Insurance Authority (Redacted) on an evaluation and analysis of returns for 1 July 2012 to 30 June 2013 including advice on risk equalisation credits Click here to download PDF 11MB

Call for Submissions: White Paper on Universal Health Insurance - Supporting Documents

  The Department of Health has published a White Paper on Universal Health Insurance. The White Paper sets out in detail the elements of the proposed Universal Health Insurance model for Ireland. As such, it provides detail on the overall design of the model, the proposed system for deciding on the standard package of services and the financing mechanisms for the system. This is a most fundamental reform of the health system and we recognise the importance of consulting extensively and inclusively with all interested parties.  It is important to seek your views on the policy as it is set out in the White Paper, and we view this as a valuable opportunity for citizens to contribute to the development of policy on the future of their health system.  Therefore, we would like to hear from any individual, group, organisation or other body that wishes to contribute to the consultation on the White Paper. In particular, but not limited to, we would welcome your views on the following issues: A consultation document setting out a number of key questions under each of the above headings has been developed and can be downloaded here. There is an opportunity at the end of the document for views or comments on other aspects of the White Paper to be provided. Alternatively, additional views or comments can be sent as an email or hard copy to the addresses below. It is intended to establish a separate independent Expert Commission to examine the issues around the basket of services to be provided under UHI and within the overall health system. The Minister will announce details of the Commission in the near future. Therefore, it would be useful if the submissions on the White Paper refrained from commenting in detail on the services to be provided under UHI. Views on the basket of services will be sought by the Commission when it commences its consultation process. The White Paper can be downloaded here, and two further supporting documents Background Policy Paper on Designing the Future Health Basket and Background Policy Paper on Raising Resources for Universal Health Insurance, which informed the development of the White Paper are also available for download. Links to other supporting documentation that informed the White Paper are also provided below. Submissions can be submitted: By E-mail to: uhiwhitepaper@health.gov.ie By Post to: UHI White Paper UHI UnitDepartment of HealthRoom 7.26Hawkins HouseHawkins StreetDublin 2 The closing date for submissions is close of business 28th May 2014 and will be strictly adhered to. All submissions received will be subject to the Freedom of Information Acts 1997 & 2003 and may be released in response to a Freedom of Information request. Download the consultation document (MS Word) (From the website of the Health Research Board) Integration of health and wellbeing services with general health services The integration of health and social care services

The Path to Universal Healthcare: White Paper on Universal Health Insurance

  The Government is committed to ending the unfair, unequal and inefficient two-tier health system and to introducing a single-tier system, supported by universal health insurance The Government will achieve a single-tier system via a multi-payer model of universal health insurance (UHI), in line with the Programme for Government (PfG), involving competing private health insurers and a State-owned VHI. UHI will be gradually rolled out over several years, with full implementation by 2019 at the latest. Click here to download the White Paper (PDF, 1.5mb) Read the UHI Explained document (PDF, 200kb). See the stakeholder briefing (PDF, 400kb)