Cramer-chernoff

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August undefined, 2024

WebAug 1, 1985 · An inequality due to Chernoff is generalized and a related Cramer-Rao type of inequality is studied. Discover the world's research. 20+ million members; 135+ million publications; Web摘要. laksa是2024新加坡科技设计大学的博后提出的一种基于链的权益证明协议,laksa通过设计支持大量节点，并提供概率安全保证，客户端通过基于其区块链视图计算事务恢复的概率来做出提交决策,轻量级委员会投票将节点之间的交互降至最低，从而产生比竞争算力要更简单、更健壮、更可扩展的协议。

Markov’s inequality and the Cramér-Chernoff bounding method

Webﬁrst estimate of this kind can be traced back to Cramer’s paper [´ 6], which deals with variables possessing a density and exponential moments. In [5] Chernoff relaxed the ﬁrst assumption. Bahadur [2] ﬁnally gave a proof without any assumption on the law of X1. Coming from statistical mechanics, Lanford imported the subadditivity argument WebW Gregory Chernoff 1 , Harvey Cramer, Stephanie Su-Huang. Affiliation 1 Chernoff Plastic Surgery and Laser Center, 830 Second Street, Santa Rosa, CA 95404, USA. [email protected]; PMID: 17700980 DOI: 10.1007/s00266-006-0218-1 … bt what is my account number

A Short Proof of Cramer’s Theorem in´ - University of Chicago

Web切尔诺夫限，也称为切尔诺夫不等式，是由赫尔曼-切尔诺夫而命名的。对于随机变量定义的通用切尔诺夫不等式可以用马尔可夫不等式来证明。其存在绝对误差和相对误差。在稀 … WebFrom (1), the Cramer-Chernoff method (´ Boucheron et al., 2013) derives Hoeffding’s in-equality as follows. For any >0, P Xn i=1 Z i n i=1 EZ i > ! exp 2 2 P n i=1 (b i a i)2/4 . (2) Similar bounds apply to the lower deviation P n i=1 Z i P n i=1 EZ i < as well as the two-sided deviation P n i=1 Z i P n i=1 EZ i > , with an additional ... WebDec 1, 2001 · The application of the Cramér-Chernoff method to derive concentration inequalities for (1.0.3) in the context of Markov processes is well established, and this work is based on [47], [35], [12 ... btwhatsgood

Solved 2. (2+6+6 pts) Using Cramer-Chernoff bounds, solve

pr.probability - Reverse Chernoff bound - Theoretical Computer Science

Webvariables has been given by Kolmogorov (1929), Cramer (1938), Chernoff (1952), Bahadur and Ranga Rao (1960) and Bennett (1962), but the sam-ples in Markov chains are … WebKaren Chernoff, M.D., specializes in Pediatric Dermatology at Weill Cornell Medicine in New York. Schedule an appointment today by calling (646) 962-3376 (DERM). experimental research historyIn probability theory, a Chernoff bound is an exponentially decreasing upper bound on the tail of a random variable based on its moment generating function or exponential moments. The minimum of all such exponential bounds forms the Chernoff or Chernoff-Cramér bound, which may decay … See more The generic Chernoff bound for a random variable $${\displaystyle X}$$ is attained by applying Markov's inequality to $${\displaystyle e^{tX}}$$ (which is why it sometimes called the exponential Markov or exponential … See more The bounds in the following sections for Bernoulli random variables are derived by using that, for a Bernoulli random variable $${\displaystyle X_{i}}$$ with probability p of being equal to 1, One can encounter … See more Rudolf Ahlswede and Andreas Winter introduced a Chernoff bound for matrix-valued random variables. The following version of the inequality can be found in the work of Tropp. Let M1, ..., Mt be independent matrix valued random … See more When X is the sum of n independent random variables X1, ..., Xn, the moment generating function of X is the product of the individual moment generating functions, giving that: See more Chernoff bounds may also be applied to general sums of independent, bounded random variables, regardless of their distribution; this is known as Hoeffding's inequality. The proof follows a similar approach to the other Chernoff bounds, but applying See more Chernoff bounds have very useful applications in set balancing and packet routing in sparse networks. The set balancing problem arises while designing statistical experiments. Typically while designing a statistical experiment, given the features … See more The following variant of Chernoff's bound can be used to bound the probability that a majority in a population will become a minority in a sample, or vice versa. Suppose there is a general population A and a sub-population B ⊆ A. Mark the relative size of the … See more btwhd1

"WebMar 6, 2024 · In probability theory, a Chernoff bound is an exponentially decreasing upper bound on the tail of a random variable based on its moment generating function or exponential moments.The minimum of all such exponential bounds forms the Chernoff or Chernoff-Cramér bound, which may decay faster than exponential (e.g. sub-Gaussian). … " - Cramer-chernoff

Markov’s inequality and the Cramér-Chernoff bounding method

A Short Proof of Cramer’s Theorem in´ - University of Chicago

Cramer-chernoff

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