Upper and lower bounds for a serial dilution test.
A Poisson-binomial model estimates the concentration of a target microbe from a serial dilution test. The maximum likelihood procedure gives an equation whose solution equals the estimate of the concentration. This paper gives bounds for the solution to this equation that require only minimal calculations.
Blodgett
Robert J
RJ
U.S. Food and Drug Administration, HFS-705, Rm 2D-011, 5100 Paint Branch Pkwy, College Park, MD 20740, USA. Robert.Blodgett@cfsan.fda.gov
D002623:Chemistry Techniques, Analytical / Q000379:methods*; D007201:Indicator Dilution Techniques; D016013:Likelihood Functions; D008828:Microbiological Techniques / Q000379:methods*; D015233:Models, Statistical; D016012:Poisson Distribution; D015203:Reproducibility of Results; D013223:Statistics as Topic