This　paper　studies　the　strong　consistency　of　some　estimators　for　an　errors-in-variables　regression　model.　We　first　provide　an　extension　of　Meister＇s　theorem.　Then,　the　same　problem　is　dealt　with　under　the　Fourier-oscillating　noises.　Finally,　we　prove　two　strong　consistency　theorems　for　wavelet　estimators　corresponding　to　non-oscillating　and　Fourier-oscillating　noises.