On a sequence of almost deterministic pairwise independent random variables

نویسندگان

چکیده

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

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Pairwise Independent Random Variables

In this lecture we discuss how to derandomize algorithms. We will see a brute force algorithm (enumeration) for derandomization. We will also see that some random algorithms do not need true randomness. Specifically, we will see an example where only pairwise random bits are needed. Next, we will see how we can generate pairwise random values and how this conservation on the amount of randomnes...

متن کامل

A Simple Construction of Almost k-wise Independent Random Variables

We present a simple construction of a small probability space on n bits for which any k bits are almost independent. The number of bits used to specify a point in the sample space is O(log log n + k + log ~), where e is the statistical difference between of the distribution induced on any k bit locations and the uniform distribution. This is asymptotically comparable to the construction recentl...

متن کامل

Almost sure convergence of weighted sums of independent random variables

Let (Ω,F ,P) be a probability space, and let {Xn} be a sequence of integrable centered i.i.d. random variables. In this paper we consider what conditions should be imposed on a complex sequence {bn} with |bn| → ∞, in order to obtain a.s. convergence of P n Xn bn , whenever X1 is in a certain class of integrability. In particular, our condition allows us to generalize the rate obtained by Marcin...

متن کامل

Simple Constructions of Almost k-Wise Independent Random Variables

We present three alternative simple constructions of small proba.­ bility spaces on n bits for which any k bits are almost independent. The number of bits used to specify a point in the sample space is (2 +o(l»(loglog n + log k + log ~), where f is the statistical difference between the distribution induced on any k bit locations and the uni­ form distribution. This is asymptotically comparable...

متن کامل

OBDDs and (Almost) $k$-wise Independent Random Variables

OBDD-based graph algorithms deal with the characteristic function of the edge set E of a graph G = (V,E) which is represented by an OBDD and solve optimization problems by mainly using functional operations. We present an OBDD-based algorithm which uses randomization for the first time. In particular, we give a maximal matching algorithm with O(log |V |) functional operations in expectation. Th...

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

ژورنال

عنوان ژورنال: Proceedings of the American Mathematical Society

سال: 1971

ISSN: 0002-9939

DOI: 10.1090/s0002-9939-1971-0279857-5