作者 | L.C.G.Rogers,D.Williams 著 |
出版社 | |
出版时间 | 2003-01-01 |
特色:
Longago(orsoitseemstoday),Chungwroteonpage196ofhisbook[1]:'Onewondersifthepresenttheoryofstochasticprocessesisnotstilltoodifficultforapplications.'Advancesinthetheorysincethattimehavebeenphenomenal,butthesehavebeenaccompaniedbyanincreaseinthetechnicaldifficultyofthesubjectsobewilderingastogiveaquaintcharmtoChung'suseoftheword'still'.Meyerwritesintheprefacetohisdefinitiveaccountofstochasticintegraltheory:'...ilfaut...uncoursdesixmoissurlesdefinitions.Quepeutonyfaire?'IhavethoughtupasintuitiveapictureofthesubjectasIcan,writtenitdownatspeed,andrefusedtobeluredbackbypiety(orevenbywit!)tocancelhalfaline.'First'intuition,whichiswhatyouneedwhenyouarelearningthesubject,israw,roughandready;and,asyouhaveguessed,Imaketheexcusethatitdemandsacompatiblestyleandlackofpolish.NotethatIwrote'firstintuition'.Consideranexample.Meyer'sconceptofarightprocessisexactlyrightforMarkovprocesstheory,buttheconceptistheresultofalongevolution.Tounderstanditproperly,youneedahighlydevelopedintuition,andthattakestimetoacquire.Thedifficultywiththebestadvancedliteratureisthatitsauthorshavetoomuchintuition;nevermakethemistakeofthinkingotherwise.