An application of compound Poisson modelling to biological dosimetry

In this paper, the rth-order univariate Hermite distributions are proposed to model the number of dicentrics in biological dosimetry. These families of distributions are introduced from compound Poisson process modelling. Regression models appropriate for analysing the number of dicentrics as a function of doses of radiation are presented, and an example of application is also given.

[1]  P. Sen.  Asymptotic Properties of Maximum Likelihood Estimators Based on Conditional Specification , 1979 .

[2]  R K Sachs,et al.  DNA damage caused by ionizing radiation. , 1992, Mathematical biosciences.

[3]  D. Lloyd,et al.  Radiation induced chromosome aberrations and the poisson distribution , 1979, Radiation and environmental biophysics.

[4]  S. Wolff.  Radiation-Induced Chromosome Aberrations , 1974 .

[5]  A. W. Kemp,et al.  Analysis with Standard Contagious Distributions , 1982 .

[6]  P. Puig.  Characterizing Additively Closed Discrete Models by a Property of Their Maximum Likelihood Estimators, With an Application to Generalized Hermite Distributions , 2003 .

[7]  Mario López,et al.  Medical management of the acute radiation syndrome. , 2011, Reports of practical oncology and radiotherapy : journal of Greatpoland Cancer Center in Poznan and Polish Society of Radiation Oncology.

[8]  Pedro Puig,et al.  Count Data Distributions , 2006 .

[9]  A. W. Kemp,et al.  An alternative derivation of the Hermite distribution , 1966 .

[10]  Daryl J. Daley,et al.  An Introduction to the Theory of Point Processes , 2013 .

[11]  D. Newman,et al.  A new family of point processes which are characterized by their second moment properties , 1970, Journal of Applied Probability.

[12]  M. Westcott,et al.  Generalized multivariate Hermite distributions and related point processes , 1993 .

[13]  J R Savage,et al.  A brief survey of aberration origin theories. , 1998, Mutation research.

[14]  J. Barquinero,et al.  Effect of americium‐241 α‐particles on the dose–response of chromosome aberrations in human lymphocytes analysed by fluorescence in situ hybridization , 2004, International journal of radiation biology.

[15]  S. Nelson.  A stochastic model of the effects of ionizing radiation on mammalian cellsin vitro , 1984 .

[16]  S J Nelson.  A stochastic model of the effects of ionizing radiation on mammalian cells in vitro. , 1984, Bulletin of mathematical biology.

[17]  D. Lloyd,et al.  Chromosome aberrations induced in human lymphocytes by D-T neutrons. , 1984, Radiation research.

[18]  K. Liang,et al.  Asymptotic Properties of Maximum Likelihood Estimators and Likelihood Ratio Tests under Nonstandard Conditions , 1987 .

[19]  J Neyman,et al.  A structural model of radiation effects in living cells. , 1976, Proceedings of the National Academy of Sciences of the United States of America.

[20]  S. Katti.  Analysis With Standard Contagious Distributions , 1982 .

[21]  Pedro Puig,et al.  Characterization of count data distributions involving additivity and binomial subsampling , 2007, 0708.4177.

[22]  C D Kemp,et al.  Some properties of the 'hermite' distribution. , 1965, Biometrika.

[23]  James Armitage,et al.  Medical Management of the Acute Radiation Syndrome: Recommendations of the Strategic National Stockpile Radiation Working Group , 2004, Annals of Internal Medicine.

[24]  D Harder,et al.  Statistical interpretation of the overdispersed distribution of radiation-induced dicentric chromosome aberrations at high LET. , 1981, Radiation research.

[25]  W Merkle,et al.  Statistical methods in regression and calibration analysis of chromosome aberration data , 1983, Radiation and environmental biophysics.

[26]  M. Sasaki,et al.  RADIATION-INDUCED CHROMOSOME ABERRATIONS IN MAN. , 1963, Radiology.