Sparse Covers for Sums of Indicators

نویسندگان

  • Constantinos Daskalakis
  • Christos H. Papadimitriou
چکیده

A Poisson Binomial Distribution of order n is the discrete probability distribution of the sum of n independent indicator random variables. The distribution is parameterized by a vector (pi) n i=1 ∈ [0, 1]n of probabilities, and is denoted PBD(p1, . . . , pn). In this paper we establish that the set Sn of all Poisson Binomial distributions of order n admits certain useful covers with respect to the total variation distance dTV (·, ·) between distributions. Namely

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

A generalized Prony method for reconstruction of sparse sums of eigenfunctions of linear operators

We derive a new generalization of Prony’s method to reconstruct M-sparse expansions of (generalized) eigenfunctions of linear operators from only O(M) suitable values in a deterministic way. The proposed method covers the wellknown reconstruction methods for M-sparse sums of exponentials as well as for the interpolation of M-sparse polynomials by using special linear operators in C(R). Further,...

متن کامل

Spatial Analysis of Central Zagros Forest Fragmentations for Conservation and Restoration Purposes (A Case Study: Posht kuh Forests, Fereydoonshahr, Isfahan Province)

In the current study, conservation strategies were employed for the spatial analysis of forest fragmentation and field assessment approaches in a forest landscape of Central Zagros, in the western part of Isfahan province, Iran. Vegetation and soil properties were accordingly studied in 15 forest sites with various densities including dense, semi-sparse and sparse-forests with 839.2 km2. In the...

متن کامل

Rademacher Chaos: Tail Estimates Vs Limit Theorems

We study Rademacher chaos indexed by a sparse set which has a fractional combinatorial dimension. We obtain tail estimates for finite sums and a normal limit theorem as the size tends to infinity. The tails for finite sums may be much larger that the tails of the limit.

متن کامل

The interpolation Problem for k-Sparse Sums of Eigenfunctions of Operators

In [DG 891, the authors show that many results concerning the problem of efficient interpolation of k-sparse multivariate polynomials can be formulated and proved in the general setting of k-sparse sums of characters of abelian monoids. In this note we describe another conceptual framework for the interpolation problem. In this framework, we consider R-algebras of functions &i, . . . , &” on an...

متن کامل

Strong Laws for Weighted Sums of Negative Dependent Random Variables

In this paper, we discuss strong laws for weighted sums of pairwise negatively dependent random variables. The results on i.i.d case of Soo Hak Sung [9] are generalized and extended.

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:
  • CoRR

دوره abs/1306.1265  شماره 

صفحات  -

تاریخ انتشار 2013