Existence conditions of the uniformly minimum risk unbiased estimators in extended growth curve models |
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| Institution: | 1. Centro de Estudios en Medición de la Actividad Física (CEMA), Escuela de Medicina y Ciencias de la Salud, Universidad del Rosario, Bogotá, D.C, Colombia.;2. Grupo de Investigación Movimiento Corporal Humano, Facultad de Enfermería y Rehabilitación, Universidad de La Sabana, Chía, Colombia.;3. Grupo GICAEDS. Programa de Cultura Física, Deporte y Recreación, Universidad Santo Tomás, Bogotá, D.C, Colombia.;4. Laboratorio de Ciencias de la Actividad Física, el Deporte y la Salud, Universidad de Santiago de Chile, USACH, Santiago, Chile.;5. Department of Health Sciences, Public University of Navarre, CIBER de Fragilidad y Envejecimiento Saludable (CB16/10/00315), Tudela, Navarre, Spain.;6. Exercise Research Laboratory, Physical Education School, Universidade Federal do Rio Grande do Sul, Porto Alegre, RS, Brazil.;7. Endocrine Section-Applied Physiology Laboratory, University of North Carolina at Chapel Hill, Chapel Hill, USA. |
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| Abstract: | Necessary and sufficient existence conditions are derived for the uniformly minimum risk unbiased estimators of the parameters in extended growth curve models with the general covariance matrix or the uniform covariance structure or the serial covariance structure under convex losses and matrix losses, respectively. |
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