Some properties of the log-Laplace distribution

Technical Report · Fri Aug 01 00:00:00 EDT 1980

DOI:https://doi.org/10.2172/5162720· OSTI ID:5162720

Uppuluri, V R.R.

A random variable ..gamma.. is said to have the Laplace distribution or the double exponential distribution whenever its probability density function is given by lambda exp(-lambda absolute value (y)), where -infinity < y < infinity and lambda > 0. The random variable X = exp(..gamma..) is said to have the log-Laplace distribution. With the problem of extrapolation to low doses in dose response curves as a motivation, an axiomatic characterization of the log-Laplace distribution is obtained. 1 figure.

• Research Organization: Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
• DOE Contract Number: W-7405-ENG-26
• OSTI ID: 5162720
• Report Number(s): ORNL/CSD/TM-68; TRN: 80-015571
• Country of Publication: United States
• Language: English

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63 RADIATION, THERMAL, AND OTHER ENVIRON. POLLUTANT EFFECTS ON LIVING ORGS. AND BIOL. MAT.
99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE
ANIMALS
BIOLOGICAL RADIATION EFFECTS
DOSE-RESPONSE RELATIONSHIPS
EXTRAPOLATION
LOW DOSE IRRADIATION
NEOPLASMS
RADIOINDUCTION
STATISTICS
CARCINOGENESIS
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RANDOMNESS
BIOLOGICAL EFFECTS
DISEASES
IRRADIATION
MATHEMATICS
NUMERICAL SOLUTION
PATHOGENESIS
RADIATION EFFECTS
560152* - Radiation Effects on Animals- Animals
990200 - Mathematics &amp; Computers