Unbiased method for signal estimation in electron energy loss spectroscopy, concentration measurements and detection limits in quantitative microanalysis: Methods and programs

摘要: Abstract We present an unbiased method for the estimation of background in EELS spectra. It looks maximum likelihood a power law model whose two dependent parameters A and R are estimated together with their variances covariance. Applying usual rules error propagation, core-loss characteristic signals thier estimated. Confidence intervals relevant atomic concentrations then established. Special attention is paid to first- second-kind risks when detection limits attained: they respectively correspond risk stating that concentration positive actually it zero, zero positive. special algorithm, based on chi-square test, developed giving weighted mean successive estimations same unknown. This test can select significant data from set experimental results. also algorithm which estimates effective angle collection β∗ case convergent beam experiments. These methods algorithms used five programs, written DEC-FORTRAN 77. programs be obtained, upon request, author.