• DocumentCode
    550826
  • Title

    On proofs and generalizations for some formulas in actuarial mathematics

  • Author

    Chen Wanyi

  • Author_Institution
    Coll. of Inf. Tech. Sci., Nankai Univ., Tianjin, China
  • fYear
    2011
  • fDate
    22-24 July 2011
  • Firstpage
    5775
  • Lastpage
    5778
  • Abstract
    In this paper, we try to give some proofs and generalizations for some formulas in actuarial mathematics. At first, we generalize recursive formulas for reserves at fractional durations for frequently collected premiums in a year. Secondly, under the assumption of uniform distribution of deaths in each year of age, strict proofs are provided for relation formulas to actuarial present values of life annuities with single payment or mthly payments in a year.
  • Keywords
    generalisation (artificial intelligence); insurance; recursive functions; risk management; theorem proving; actuarial mathematics; generalizations; life annuities; payment; proofs; recursive formulas; Educational institutions; Electronic mail; Mathematics; TV; Actuarial Mathematics; Net Premium; Reserves;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Control Conference (CCC), 2011 30th Chinese
  • Conference_Location
    Yantai
  • ISSN
    1934-1768
  • Print_ISBN
    978-1-4577-0677-6
  • Electronic_ISBN
    1934-1768
  • Type

    conf

  • Filename
    6001166