8,392 research outputs found
Forecasting Leading Death Causes in Australia using Extended CreditRisk
Recently we developed a new framework in Hirz et al (2015) to model
stochastic mortality using extended CreditRisk methodology which is very
different from traditional time series methods used for mortality modelling
previously. In this framework, deaths are driven by common latent stochastic
risk factors which may be interpreted as death causes like neoplasms,
circulatory diseases or idiosyncratic components. These common factors
introduce dependence between policyholders in annuity portfolios or between
death events in population. This framework can be used to construct life tables
based on mortality rate forecast. Moreover this framework allows stress testing
and, therefore, offers insight into how certain health scenarios influence
annuity payments of an insurer. Such scenarios may include improvement in
health treatments or better medication. In this paper, using publicly available
data for Australia, we estimate the model using Markov chain Monte Carlo method
to identify leading death causes across all age groups including long term
forecast for 2031 and 2051. On top of general reduced mortality, the proportion
of deaths for certain certain causes has changed massively over the period 1987
to 2011. Our model forecasts suggest that if these trends persist, then the
future gives a whole new picture of mortality for people aged above 40 years.
Neoplasms will become the overall number-one death cause. Moreover, deaths due
to mental and behavioural disorders are very likely to surge whilst deaths due
to circulatory diseases will tend to decrease. This potential increase in
deaths due to mental and behavioural disorders for older ages will have a
massive impact on social systems as, typically, such patients need long-term
geriatric care.Comment: arXiv admin note: text overlap with arXiv:1505.0475
Actuarial Applications and Estimation of Extended~CreditRisk
We introduce an additive stochastic mortality model which allows joint
modelling and forecasting of underlying death causes. Parameter families for
mortality trends can be chosen freely. As model settings become high
dimensional, Markov chain Monte Carlo (MCMC) is used for parameter estimation.
We then link our proposed model to an extended version of the credit risk model
CreditRisk. This allows exact risk aggregation via an efficient numerically
stable Panjer recursion algorithm and provides numerous applications in credit,
life insurance and annuity portfolios to derive P\&L distributions.
Furthermore, the model allows exact (without Monte Carlo simulation error)
calculation of risk measures and their sensitivities with respect to model
parameters for P\&L distributions such as value-at-risk and expected shortfall.
Numerous examples, including an application to partial internal models under
Solvency II, using Austrian and Australian data are shown.Comment: 34 pages, 5 figure
Higgs mass prediction in the MSSM at three-loop level in a pure context
The impact of the three-loop effects of order on the
mass of the light CP-even Higgs boson in the MSSM is studied in a pure
context. For this purpose, we implement the results of
Kant et al. into the C++ module Himalaya and link it to FlexibleSUSY, a
Mathematica and C++ package to create spectrum generators for BSM models. The
three-loop result is compared to the fixed-order two-loop calculations of the
original FlexibleSUSY and of FeynHiggs, as well as to the result based on an
EFT approach. Aside from the expected reduction of the renormalization scale
dependence with respect to the lower order results, we find that the three-loop
contributions significantly reduce the difference from the EFT prediction in
the TeV-region of the SUSY scale . Himalaya can be linked also to other
two-loop codes, thus allowing for the elevation of these
codes to the three-loop level.Comment: 32 pages, 8 figures, 1 table [version submitted to EPJC
Intrinsic Dynamic Shape Prior for Fast, Sequential and Dense Non-Rigid Structure from Motion with Detection of Temporally-Disjoint Rigidity
While dense non-rigid structure from motion (NRSfM) has been extensively studied from the perspective of the reconstructability problem over the recent years, almost no attempts have been undertaken to bring it into the practical realm. The reasons for the slow dissemination are the severe ill-posedness, high sensitivity to motion and deformation cues and the difficulty to obtain reliable point tracks in the vast majority of practical scenarios. To fill this gap, we propose a hybrid approach that extracts prior shape knowledge from an input sequence with NRSfM and uses it as a dynamic shape prior for sequential surface recovery in scenarios with recurrence. Our Dynamic Shape Prior Reconstruction (DSPR) method can be combined with existing dense NRSfM techniques while its energy functional is optimised with stochastic gradient descent at real-time rates for new incoming point tracks. The proposed versatile framework with a new core NRSfM approach outperforms several other methods in the ability to handle inaccurate and noisy point tracks, provided we have access to a representative (in terms of the deformation variety) image sequence. Comprehensive experiments highlight convergence properties and the accuracy of DSPR under different disturbing effects. We also perform a joint study of tracking and reconstruction and show applications to shape compression and heart reconstruction under occlusions. We achieve state-of-the-art metrics (accuracy and compression ratios) in different scenarios
Fast rate estimation of an unitary operation in SU(d)
We give an explicit procedure based on entangled input states for estimating
a operation with rate of convergence when sending
particles through the device. We prove that this rate is optimal. We also
evaluate the constant such that the asymptotic risk is . However
other strategies might yield a better const ant .Comment: 8 pages, 1 figure Rewritten version, accepted for publication in
Phys. Rev. A. The introduction is richer, the "tool section" on group
representations has been suppressed, and a section proving that the 1/N^2
rate is optimum has been adde
Architecture and noise analysis of continuous variable quantum gates using two-dimensional cluster states
Due to its unique scalability potential, continuous variable quantum optics
is a promising platform for large scale quantum computing and quantum
simulation. In particular, very large cluster states with a two-dimensional
topology that are suitable for universal quantum computing and quantum
simulation can be readily generated in a deterministic manner, and routes
towards fault-tolerance via bosonic quantum error-correction are known. In this
article we propose a complete measurement-based quantum computing architecture
for the implementation of a universal set of gates on the recently generated
two-dimensional cluster states [1,2]. We analyze the performance of the various
quantum gates that are executed in these cluster states as well as in other
two-dimensional cluster states (the bilayer-square lattice and quad-rail
lattice cluster states [3,4]) by estimating and minimizing the associated
stochastic noise addition as well as the resulting gate error probability. We
compare the four different states and find that, although they all allow for
universal computation, the quad-rail lattice cluster state performs better than
the other three states which all exhibit similar performance
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