Estimación bayesiana múltiple de un parámetro
ISSN: 0041-0241
Any de publicació: 1981
Volum: 32
Número: 2
Pàgines: 95-115
Tipus: Article
Altres publicacions en: Trabajos de estadística e investigación operativa
Resum
The problem to be analyzed in this paper deals with the finding of n values x1, x2, ..., xn Î R which minimize the function: E [míni=1,...,n c (? - xi)] where ? is a one-dimensional random variable with known distribution function f and c is a measurable and positive function. First, conditions on c in order to ensure the existence of a solution to this problem are determined. Next, necessary conditions to be satisfied by the point (x1, x2, ..., xn) in which the function attains the minimum are looked for. Finally, conditions on f are given to guarantee the uniqueness of the point which verifies the necessary conditions for minimum, when the function c is c(y) = |y| and c(y) = y2