简介:AMarkovianriskprocessisconsideredinthispaper,whichisthegener-alizationoftheclassicalriskmodel.ItisproperthatariskprocesswithlargeclaimsismodelledastheMarkovianriskmodel.Insuchamodel,theoccurrenceofclaimsisdescribedbyapointprocess{N(t)}_(t≥0)withN(t)beingthenumberofjumpsduringtheinterval(0,t]foraMarkovjumpprocess.TheruinprobabilityΨ(u)ofacompanyfacingsuchariskmodelismainlystudied.AnintegralequationsatisfiedbytheruinprobabilityfunctionΨ(u)isobtainedandtheboundsfortheconvergencerateoftheruinprobabilityΨ(u)aregivenbyusingageneralizedrenewaltechniquedevelopedinthepaper.