Kai Wang Ng

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The study of precise large deviations for random sums is an important topic in insurance and finance. In this paper, we extend recent results of Tang (2006) and Liu (2009) to random sums in various situations. In particular, we establish a precise large deviation result for a nonstandard renewal risk model in which innovations, modelled as real-valued(More)
In this paper we consider the probabilities of …nite-and in…nite-time absolute ruin in the renewal risk model with constant premium rate and constant force of interest. In the particular case of compound Poisson model, explicit asymptotic expressions for the …nite-and in…nite-time absolute ruin probabilities are given. For the general renewal risk model, we(More)
  • Kai Wang Ng
  • 2011
} be two distinct partitions of the sample space, or equivalently two sets of events satisfying three properties: (i) each event is non-void, (ii) events in the same set are mutually exclusive (i.e. P (H j ∪ H k) = P (H j) + P (H k) for j = k), and (iii) each set is collectively exhaustive, (i.e. P (∪ m i=1 H j) = 1). The Bayes formula in general form is,
Diarrhoea-associated Haemolytic uraemic syndrome (HUS) is a disease that affects the kidneys and other organs. Motivated by the annual number of cases of HUS collected in Birmingham and Newcastle of England, respectively, from 1970 to 1989, we consider Bayesian changepoint analysis with specific attention to Poisson changepoint models. For changepoint(More)