2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/130605We consider a spiked population model, proposed by Johnstone, whose population eigenvalues are all unit except for a few fixed eigenvalues. The question is to determine how the sample eigenvalues depend on the non-unit population ones when both sample size and population size become large. This paper completely determines the almost sure limits for a general class of samples.24 pages, 6 figuresStatistics TheoryProbability15A52, 60F15, 62H99text