Bounds on Mahalanobis norms and their applications
β Scribed by D.R. Jensen
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 611 KB
- Volume
- 264
- Category
- Article
- ISSN
- 0024-3795
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Let a := (a(Ξ±)) Ξ±βZ s be a finitely supported sequence of r Γ r matrices and M be a dilation matrix. The subdivision sequence {(a n (Ξ±)) Ξ±βZ s : n β N} is defined by a 1 = a and Let 1 β€ p β€ β and f = (f 1 , . . . , f r ) T be a vector of compactly supported functions in L p (R s ). The stability is
Given finite dimensional real or complex Banach spaces, E and F, with norms Ξ½ : E β R and ΞΌ : F β R, we denote by N ΞΌΞ½ the least upper bound norm induced on L(E, F ). Some results are given on the extremal structures of B, the unit ball of N ΞΌΞ½ , of its polar B β’ , and of B , which is the polar of t
Basic methods are given to evaluate or estimate the median for various probability distributions. These methods are then applied to determine the precise median of several nontrivial distributions, including weighted selection and the sum of heterogeneous Bernoulli trials conditioned to lie within a