Generalized Lebesgue Spaces and Application to Statistics

  title={Generalized Lebesgue Spaces and Application to Statistics},
  author={Huaiyu Zhu},
Statistics requires consideration of the “ideal estimates ” d fined through the posterior mean of fractional powers of finite measures. In this paper we stud y L1= , the linear space spanned by th power of finite measures, 2 (0; 1). It is shown thatL1= generalizes the Lebesgue function spaceL1= ( ), and shares most of its important properties: It is a uniform ly convex (hence reflexive) Banach space with L1=(1 ) as its dual. These results are analogous to classical counterparts but do not… CONTINUE READING

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