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20202022
most citedAggregate Markov models in life insurance: estimation via the EM algorithm

1 citations · 1 across the 4 of their papers we have counts for

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6 papers

math.ST2022★ 1 cited

Aggregate Markov models in life insurance: estimation via the EM algorithm

Jamaal Ahmad, Mogens Bladt

In this paper, we consider statistical estimation of time-inhomogeneous aggregate Markov models. Unaggregated models, which corresponds to Markov chains, are commonly used in multi…

math.PR2022

Aggregate Markov models in life insurance: properties and valuation

Jamaal Ahmad, Mogens Bladt, Christian Furrer

In multi-state life insurance, an adequate balance between analytic tractability, computational efficiency, and statistical flexibility is of great importance. This might explain t…

math.ST2022

Estimating absorption time distributions of general Markov jump processes

Jamaal Ahmad, Martin Bladt, Mogens Bladt

The estimation of absorption time distributions of Markov jump processes is an important task in various branches of statistics and applied probability. While the time-homogeneous…

q-fin.RM2022

Phase-type representations of stochastic interest rates with applications to life insurance

Jamaal Ahmad, Mogens Bladt

The purpose of the present paper is to incorporate stochastic interest rates into a matrix-approach to multi-state life insurance, where formulas for reserves, moments of future pa…

q-fin.RM2021

Multivariate higher order moments in multi-state life insurance

Jamaal Ahmad

It is well-known that combining life annuities and death benefits introduce opposite effects in payments with respect to the mortality risk on the lifetime of the insured. In a gen…

q-fin.RM2020

Computation of bonus in multi-state life insurance

Jamaal Ahmad, Kristian Buchardt, Christian Furrer

We consider computation of market values of bonus payments in multi-state with-profit life insurance. The bonus scheme consists of additional benefits bought according to a dividen…