13
Views
4
CrossRef citations to date
0
Altmetric
Regular articles

Mathematical properties of the risk equation when variability is present

&
Pages 348-355 | Published online: 02 Dec 2008

References

  • Aitchison , J. and Brown , J.A.C. 1957 . The Lognormal Distribution , Cambridge, , England : Cambridge University Press .
  • Benjamin , J.R. and Cornell , C.A. 1970 . Probability, Statistics, and Decisions for Civil Engineers , New York : McGraw Hill .
  • Bogen , K.T. 1994 . A note on compounded conservatism . Risk Anal. , 14 ( 4 ) : 379 – 381 .
  • Burmaster , D.E. and Harris , R.H. 1993 . The magnitude of compounding conservatisms in Superfund risk assessments . Risk Anal. , 13 ( 2 ) : 131 – 143 .
  • Burmaster , D.E. and Thompson , K.M. 1995a . The need for new methods to backcalculate soil cleanup targets in interval and probabilistic risk assessments . Human Ecol. Risk Assess. , 1 ( 1 ) : 89 – 100 .
  • Burmaster , D.E. and Thompson , K.M. 1995b . Backcalculating cleanup targets in probabilistic risk assessments when the acceptability of cancer risk is defined under different risk management policies . Human Ecol. Risk Assess. , 1 ( 1 ) : 110 – 120 .
  • Crow , E.L. and Shimizu , K. , eds. 1988 . Lognormal Distributions, Theory and Applications , New York : Marcel Dekker .
  • Cullen , A.C. 1994 . Measures of compounding conservatism in probabilistic risk assessment . Risk Anal. , 14 ( 4 ) : 389 – 393 .
  • Evans , M. , Hastings , N. and Peacock , B. 1993 . Statistical Distributions , Second Edition , New York : John Wiley & Sons .
  • Feller , W. 1968 . An Introduction to Probability Theory and Its Applications , Volume I , New York : John Wiley & Sons .
  • Feller , W. 1971 . An Introduction to Probability Theory and Its Applications , Volume II , New York : John Wiley & Sons .
  • Hattis , D.B. and Burmaster , D.E. 1994 . Assessment of variability and uncertainty distributions for practical risk assessments . Risk Anal. , 14 ( 5 ) : 713 – 730 .
  • Morgan , J.T.M. 1984 . Elements of Simulation , London : Chapman and Hall .
  • Ott , W.R. 1995 . Environmental Statistics and Data Analysis , Boca Raton, FL : Lewis Publishers .
  • Ott , W.R. 1990 . A physical explanation of the lognormality of pollutant concentrations . J. Air Waste Manage. Assoc. , 40 : 1378 et seq.
  • Rubinstein , R.Y. 1981 . Simulation and the Monte Carlo Method , New York : John Wiley & Sons .
  • Springer , M.D. 1979 . The Algebra of Random Variables , New York : John Wiley & Sons .
  • USEPA (U.S. Environmental Protection Agency) . 1992 . Guidelines for Exposure Assessment . Federal Register , 57 29 May : 22888 et seq., 1992
  • P.O. Box 382669 Harvard Square Station, Cambridge, MA 02238–2569; Tel: (617) 864–4300; Fax: (617) 864–9954; e‐mail: [email protected]
  • 245 Summer Street, Boston, MA 02210; Tel: (617) 589–1765; Fax: (617) 589–2922; e‐mail: [email protected]

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.