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[PDF] Top 20 Further results and applications on continuous random variables

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Further results and applications on continuous random variables

Further results and applications on continuous random variables

... a continuous random variable ( CRV, for short) with support an interval (a, b) ,−∞ ≤ a < b ≤ ∞, f is proba- bility density function ( pdf, for short) of X , g and h are two continuous functions ... See full document

7

Continuous random variables

Continuous random variables

... discrete random variables, their associated central values and measures of spread, and their ...of continuous random ...discrete variables and continuous variables is that ... See full document

30

Inequalities with applications to some k analog random variables

Inequalities with applications to some k analog random variables

... different results under similar conditions, even though it is repeated a large number of times, is termed a random ...a random experiment is called a random variable or simply a ...dom ... See full document

14

Fractional integral inequalities for continuous random variables

Fractional integral inequalities for continuous random variables

... It is well known that the integral inequalities play a fundamental role in the theory of differential equations and applied sciences. Significant development in this theory has been achieved for the last two decades. For ... See full document

8

Some estimations on continuous random variables involving fractional calculus

Some estimations on continuous random variables involving fractional calculus

... the applications of fractional calculus on probability ...of continuous random variables. Some recent results on classical random variable bound estimations are also ... See full document

10

Imputation of continuous variables missing at random using the method of simulated scores

Imputation of continuous variables missing at random using the method of simulated scores

... We briefly discuss the implications and consequences of the two propositions; proofs and a more detailed discussion can be found in Calzolari and Neri (2002). Working on the structural form system (1) has the advantage ... See full document

7

Large deviations for random sums of differences between two sequences of random variables with applications to risk theory

Large deviations for random sums of differences between two sequences of random variables with applications to risk theory

... To formulate our main results, we firstly introduce some notations and assumptions. Let Q(u) = – log B(u), u ≥ , be the hazard function of the distribution B. We assume that there exists a nonnegative function q ... See full document

9

A New Proof of Inequality for Continuous Linear Functionals

A New Proof of Inequality for Continuous Linear Functionals

... a continuous linear functional which annihilates all polynomials of degree at most k − 1 for some positive integer ...Related results and further applications of the inequality are also ... See full document

9

Some Applications of the Distribution of the Maximum on Independent Normal Random Variables

Some Applications of the Distribution of the Maximum on Independent Normal Random Variables

... normal random variables and some of its applications in the electricity power industry in the area of peak load estimation and in genetic selection for animal ...asymptotic results for extreme ... See full document

16

Some probability inequalities for a class of random variables and their applications

Some probability inequalities for a class of random variables and their applications

... acceptable random variables are presented in Section , and the complete con- vergence for it is obtained in Section ...Our results are based on some moment conditions, while the main results ... See full document

7

On Complete Convergence for Arrays of Rowwise  Mixing Random Variables and Its Applications

On Complete Convergence for Arrays of Rowwise Mixing Random Variables and Its Applications

... independent random variables, complete convergence has been extensively investigated see, ...dependent random variables has been ...Some results also generalize some previous known ... See full document

12

Further research on complete moment convergence for moving average process of a class of random variables

Further research on complete moment convergence for moving average process of a class of random variables

... of random sequence under the assumption that the random variables satisfy the Rosenthal type maximal inequality and the weak mean dominating ...main results, Sections  and  provide some ... See full document

11

An almost sure central limit theorem of products of partial sums for ρ  mixing sequences

An almost sure central limit theorem of products of partial sums for ρ mixing sequences

... -mixing random variables include NA and r*-mixing random variables, which have a lot of applications, their limit properties have aroused wide interest recently, and a lot of ... See full document

13

Strong convergence results for arrays of rowwise pairwise NQD random variables

Strong convergence results for arrays of rowwise pairwise NQD random variables

... NQD random variables is a family of very wide scope, which contains a pairwise independent random variable sequence and a negatively orthant dependent (NOD) ran- dom variable sequence as special ... See full document

8

Strong convergence results for weighted sums of ρ˜ mixing random variables

Strong convergence results for weighted sums of ρ˜ mixing random variables

... a random sample are weighted sums of independent and identically distributed random ...with applications in mathematical ...to further study the strong laws for these weighted sums of ρ-mixing ... See full document

11

A Grüss type inequality and its applications

A Grüss type inequality and its applications

... main results (Theorems ...some applications for the moments of discrete random variables, for guessing mappings considered in [3, 4], and for Ozeki’s inequality related to [6, 7, ... See full document

12

Further nonlinear integral inequalities in two independent variables on time scales and their applications

Further nonlinear integral inequalities in two independent variables on time scales and their applications

... During the few years, a lot of research related to studies and the extension of some fundamental integral inequalities used in the theory of differential and integral equations on time scales. For example, we refer the ... See full document

6

Exponential Inequalities for Positively Associated Random Variables and Applications

Exponential Inequalities for Positively Associated Random Variables and Applications

... associated random variables being ...corresponding results in ...independent random variables under the Hartman-Wintner law of the iterated logarithm and improves the relevant result ... See full document

11

Maximal Inequalities for Dependent Random Variables and Applications

Maximal Inequalities for Dependent Random Variables and Applications

... In this paper, we give a sufficient condition under which 1.2 and 1.3 hold. Our results partially improve those of Hu et al. 1, 2. The technique used in our proof is the well- known method of subsequences. Note that ... See full document

10

Further study of complete convergence for weighted sums of PNQD random variables

Further study of complete convergence for weighted sums of PNQD random variables

... PNQD random variables are obtained. Our results generalize and improve those on complete convergence theorems previously obtained by Baum and Katz ... See full document

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