A Berry-Esseen type inequality for convex bodies with an unconditional basis
نویسندگان
چکیده
منابع مشابه
On a Loomis-whitney Type Inequality for Permutationally Invariant Unconditional Convex Bodies
For a permutationally invariant unconditional convex body K in R we define a finite sequence (Kj)j=1 of projections of the body K to the space spanned by first j vectors of the standard basis of R. We prove that the sequence of volumes (|Kj |)j=1 is log-concave.
متن کاملa cauchy-schwarz type inequality for fuzzy integrals
نامساوی کوشی-شوارتز در حالت کلاسیک در فضای اندازه فازی برقرار نمی باشد اما با اعمال شرط هایی در مسئله مانند یکنوا بودن توابع و قرار گرفتن در بازه صفر ویک می توان دو نوع نامساوی کوشی-شوارتز را در فضای اندازه فازی اثبات نمود.
15 صفحه اولA Berry-Esseen Type Bound for a Smoothed Version of Grenander Estimator
In various statistical model, such as density estimation and estimation of regression curves or hazard rates, monotonicity constraints can arise naturally. A frequently encountered problem in nonparametric statistics is to estimate a monotone density function f on a compact interval. A known estimator for density function of f under the restriction that f is decreasing, is Grenander estimator, ...
متن کاملThe Hadwiger Conjecture for Unconditional Convex Bodies
We investigate the famous Hadwiger Conjecture, focusing on unconditional convex bodies. We establish some facts about covering with homotethic copies for Lp balls, and prove a property of outer normals to unconditional bodies. We also use a projection method to prove a relation between the bounded and unbounded versions of the conjecture. 1 Definitions and Background Definition 1. A convex body...
متن کاملAnalysis of Sequential Decoding Complexity Using the Berry-Esseen Inequality
This study presents a novel technique to estimate the computational complexity of sequential decoding using the Berry-Esseen theorem. Unlike the theoretical bounds determined by the conventional central limit theorem argument, which often holds only for sufficiently large codeword length, the new bound obtained from the Berry-Esseen theorem is valid for any blocklength. The accuracy of the new ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Probability Theory and Related Fields
سال: 2008
ISSN: 0178-8051,1432-2064
DOI: 10.1007/s00440-008-0158-6