Variables, Random
Cauchy approximation for sums of independent random variables
... [19] C. Stein, A bound for the error in the normal approximation to the distribution of a sum of dependent random variables, Proceedings of the Sixth Berkeley Symposium on Mathematical Statistics and ...
12
On the exponential inequality for acceptable random variables
... the random variables are called negatively upper orthant dependent (NUOD), negatively lower orthant dependent (NLOD), and negatively orthant dependent (NOD), respec- tively (see, for example, ...
10
A note on discrete degenerate random variables
... degenerate random variables, namely the degenerate binomial and degenerate Poisson random ...binomial random variables with parameter n, p in (11) and deduced their expectations in ...
8
The Complete Convergence of Exchangeable Random Variables
... independent random variables, but in many practical problems, samples are not independent, or the function of independent sample is not independent, or the verification of independent is more ...dependent ...
5
On the product and ratio of Bessel random variables
... The distributions of products and ratios of random variables are of interest in many areas of the sciences. In this paper, the exact distributions of the product | XY | and the ratio | X/Y | are derived ...
13
Recurring Mean Inequality of Random Variables
... The theory of means and their inequalities is fundamental to many fields including mathematics, statistics, physics, and economics.This is certainly true in the area of probability and statistics. There are large amounts ...
6
Summability of Double Independent Random Variables
... The analysis of double sequences of random variables via four-dimensional matrix transformations begins with the following theorem. However, it should be noted that the relationship between our main theorem ...
12
Sign Test for Fuzzy Random Variables
... This paper extends the sign test to the case where data are observations of fuzzy random variables, and the hy- potheses are imprecise rather than crisp. In this ap- proach, first a new notion of fuzzy ...
19
Distribution of the Maximum and Minimum of a Random Number of Bounded Random Variables
... In this paper we studied a general scheme for the distribution of the maximum or minimum of a random number of i.i.d. random variables with compact support. While some of the distributions obtained ...
12
Dominated Convergence for Fuzzy Random Variables
... fuzzy random variables with new meter and some extended results of monotone convergence theorem and dominated convergence theorem for fuzzy random variables are ...
8
Uniform Integrability for Fuzzy Random Variables
... fuzzy random variables was introduced as a natural generalization of random set in order to represent associations between the outcomes of random experiment and non-statistical in exact ...
8
Sums of independent random variables and regular variation
... non-degenerate random variables (this being the situation in the theory of domains of attraction, stochastic compactness and partial attraction treated in Chapters 2 and 3 of this thesis) but we hope to ...
179
Singularity analysis for heavy tailed random variables
... Second, we explore consequences for probabilistic limit laws and prove three the- orems on precise large and moderate deviations for sums of independent identically distributed (i.i.d.) random variables ...
41
Some conclusions of the exchangeable random variables and the independent identical distribution random variables
... independent random variables, but in many practical problems, samples are not independent, or the function of independent sample is not independent, or the verification of independence is more ...dependent ...
6
Conditional acceptability of random variables
... Complete convergence results are well known for independent random variables (see, e.g., Gut []). The classical results of Hsu, Robbins, Erdős, Baum, and Katz were extended to certain dependent sequences. ...
18
APPROXIMATION OF RANDOM SUMS OF RANDOM VARIABLES IN INSURANCE
... The paper deals with approximations of random sums. By random sum we mean a sum of random number of independent and identically distributed random variables. Distribution of this sum is ...
6
Continuous random variables
... continuous random variable can be used to calculate probabilities, to make predictions or plan for future ...continuous random variables to determine the probabilities of specified events occurring ...
30
Distributions of Ratios: From Random Variables to Random Matrices
... gamma variables, its ratio to an independent Gamma is also given there, using ...Generalized-F variables is given in [11], using Appell function F D ...to random matrices in the following ...
12
MOMENTS OF RANDOM VARIABLES BASED ON BERNOULLI TRIALS
... The use of Bernoulli trials often appears in ecological, epidemiological and agricultural research where events happen over space and time. The affliction of a disease, for instance, to human dwellings, agricultural ...
8
On Complex Random Variables
... multivariate random variable of Z is a complex multivariate normal variable of dimension n if all nondegenerate complex linear combination of Z have a complex univariate normal ...
10