[PDF] Top 20 Some probability inequalities for a class of random variables and their applications

... symmetric random variables also holds when the random variables are not symmet- ric but condition ...acceptable random variables under condition ...acceptable random ... See full document

... [4]. Some applications for END sequence have been ...dependent random variables with heavy ...dependent random variables with heavy ...independent random variables ... See full document

... the class of conditionally acceptable random variables as a general- ization of the class of acceptable random variables studied previously by Giuliano Antonini et ...potential ... See full document

... The inverse moments can be applied in many practical applications. For example, they appear in Stein estimation and Bayesian poststratification see Wooff 1 and Pittenger 2, evaluating risks of estimators and powers ... See full document

... a random experiment is called a random variable or simply a ...dom variables are usually denoted by capital letters X, Y and Z, while the values associated to them by corresponding small letters x, y ... See full document

... by 3.7. Combining 3.9–3.11, we can get 3.8 by Lemma 3.4. The proof is completed. Remark 3.6. 1 Let us compare Theorem 3.5 with 4, Theorem 3.6. Our result drops the strict stationarity of the positively associated ... See full document

... obtain some inequalities for the expectation, E (X ), and cumulative distribution function F (x) of a random variable having the probability density function f : [a, b] → R which is assumed to ... See full document

... independent random variables with assumptions of uni- form boundedness or some, quite relaxed, control on their ...dependent variables is more ... See full document

... the probability that a runner wins in an n-player running ...the probability distribution of the minimum of n independent normal random ...the probability distribution of Y, the minimum of n ... See full document

... the probability theory, new integral inequalities are established for the fractional expectation and the fractional variance for continuous random ...These inequalities gener- alize ... See full document

... Definition 2.1 see 8. Let x, y, z be an ordered parameter group of nonnegative real numbers. The group is said to belong to the first-class distribution and is denoted by x, y, z ∈ I if conditions x ∈ 0, 1, y ∈ ... See full document

... such inequalities are studied by an iteration argument, and the estimation formulas are expressed by a complicated power series which are some- times not very convenient for ...Henry-type ... See full document

... The result of Hsu-Robbins-Erdös’ strong law is a fundamental theorem in probability theory and has been intensively investigated in several directions by many authors in the past decades. One of the most important ... See full document

... obtain some inequalities for the expectation E (X ) and cumulative distribution function F ( · ) of a random variable having the probability distribution function f : [a, b] → R .... ... See full document

... In this paper, we obtain the upper exponential bounds for the tail probabilities of the quadratic forms for negatively dependent subgaussian random variables. In particular the law of iterated logarithm for ... See full document

... variables satisfying 1.1. A sufficient condition will be given under which 1.2 and 1.3 hold. We first state and prove one of our main results. The proof is based on the well known method of subsequences. Our proof ... See full document

... the random multiarmed bandits problem and so ...high probability bounds on the deviation of weighted averages of empirical means of sets of independent random variables from their ... See full document

... utilizing some inequalities for linearly negative quadrant dependent random variables, we discuss the uniformly asymptotic normality of sample quantiles for linearly negative quadrant ... See full document

... Based on Lemma 3.1, we are now in a position to propose the following generalized and unified new projection-contraction iterative algorithm for solving the problem (1.1). Algorithm 3.2. Let D be a nonempty subset of a ... See full document

... finite random variable sequence X X 1 , 2 , L , X n is ...distributed random variable sequence is the simplest exchangeable random variable ...made some results (see ...distributed ... See full document