PoissRatioCdf
PoissRatioCdf computes the cumulative distribution function (cdf) and/or the probability mass function (pmf) of the random variable X which is proportional to the ratio of two independent Poisson random variables, X = constant * (Y_lambdaNum / Y_lambdaDen), where constant is given constant, Y_lambdaNum is a random variable with Poisson distribution with parameter lambdaNum, and Y_lambdaDen follows the 1-displaced Poisson distribution (shifted by 1 to the right), with parameter lambdaDen, respectively.
The cumulative distribution function is given by
cdf = Prob( X <= x) = Prob(constant * (Y_lambdaNum / Y_lambdaDen) <= x).
This could be a useful modeling concentration measurements based on spectrometric methods. For more details on the method and its application for evaluation of the concentration measurements based on PTR-MS (Proton Transfer Reaction Mass Spectrometry) see e.g. Arendacka etal. (JBR 2008).
References:
ARENDACKÁ, B. - SCHWARZ, K. - ŠTOLC JR, S. - WIMMER, G. - WITKOVSKÝ, V.: Variability issues in determining concentration of isoprene in human breath by PTR-MS. Journal of Breath Research 2, 2008, 037007 (8pp), doi:10.1088/1752-7155/2/3/037007.
The PoissRatioCdf distribution icludesthe following m-files:
PoissRatioCdf.m, PoissRatioPmf.m, PoissRatioStat.m, SetValuesX.m
Revised: 14-Nov-2009 15:36:29
Contact Address:
Viktor Witkovsky
Institute of Measurement Science
Slovak Academy of Sciences
Dubravska cesta 9
84104 Bratislava, Slovakia
witkovsky@savba.sk
http://www.um.sav.sk/en/
引用格式
Viktor Witkovsky (2024). PoissRatioCdf (https://www.mathworks.com/matlabcentral/fileexchange/25843-poissratiocdf), MATLAB Central File Exchange. 检索来源 .
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