Sum of Random Variables
THE DISTRIBUTION OF THE SUM OF MIXED INDEPENDENT RANDOM VARIABLES PERTAINING TO SPECIAL FUNCTIONS
... the sum of the drought duration and the successive non drought ...of sum of random variables. The distribution of the sum of two independent random variables has been ...
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Asymptotic tail probability of weighted infinite sum of conditionally dependent and consistently varying tailed random variables
... This paper investigates the asymptotic behavior of the tail probability of a weighted infinite sum of random variables with consistently varying tails under two conditional dependence structures. The ...
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An edgeworth expansion for a sum of M Dependent random variables
... WAN SOO RHEE Faculty of Management Sciences The Ohio State University Columbus, Ohio 43210.. of m-dependent random variables with..[r] ...
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Characteristic function approach to the sum of stochastic variables
... Our previous work is motivated by Mantegna and Stanley’s (Mantegna and Stanley, 1994, 1995). We show the general approach of the CF to the sum of random variables to be useful to tracking convergence ...
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Distribution of Geometrically Weighted Sum of Bernoulli Random Variables
... paper is organized as follows. In Section 2 we obtain the characteristic function of X and give an interpretation for the variable X. In Section 3 we derive the distribution function of X and prove some of its ...
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On the characteristic function of a sum of M dependent random variables
... RHEE Faculty of Management Sciences The Ohio State University Columbus, Ohio 43210... We will estimate the bound of.[r] ...
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Continuous random variables
... What is the probability that X = 28 exactly ? As there is an infinite number of real numbers in the interval [10, 60], if c is any number in this interval, Pr( X = c ) must be 0, otherwise the sum of all the ...
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Asymptotic results for conditional measures of association of a random sum
... Abstract. Asymptotic results are obtained for several conditional mea- sures of association. The chosen random variables are the first two order statistics and the total sum within a random ...
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Convex Ordering of Random Variables and its Applications in Econometrics and Actuarial Science
... Example 1 (Approximation of distribution sum of two independent standard normal random variables). Suppose X and Y be independent N(0, 1) random variables. We want to derive lower ...
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APPROXIMATION OF RANDOM SUMS OF RANDOM VARIABLES IN INSURANCE
... of random sums. By random sum we mean a sum of random number of independent and identically distributed random ...this sum is called a compound ...
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The Levy sections theorem: an application to econophysics
... above sum procedures. Though the stationarity assumption for a chain of random variables is not made in the L´evy sections theorem, our sum procedures to obtain S t for an empirical time ...
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Gamma distribution approach in chance constrained stochastic programming model
... of sum of these independent random variables having Gamma distribution and normal distribution, probabilistic constraint obtained via Essen inequality has been made deterministic using the approach ...
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Discrete random variables
... The values of the mean, variance and standard deviation can also be found from first principles, as was done in section 11.2. For example, the following screens show how calculator lists can be used to find the answer to ...
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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 ...
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1. Batch arrival retrial queue with fluctuating modes of service, randomized vacations and orbital search
... the sum of two independent random variables, one of which is the mean number of customers (L) in the batch arrival queue with fluctuating modes of service and orbital search and other is the mean ...
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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. ...
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Probability Distribution of Sum of Two Continuous Variables and Convolution
... Occurrence of resistance of a resistor, with its tolerance can be expressed as a probability distribution. In those circumstances, what would be the resultant distribution describing occurrence of resistances of ...
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Test and asymptotic normality for mixed bivariate measure
... ent identically distributed (iid) from the random variables ( , ) X Y for which the joint probability measure, , is defined in (1). The numbers q and ' q are as- sumed nonnegative integers and known. f is ...
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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 ...
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Some limit properties for a hidden inhomogeneous Markov chain
... Hidden Markov chain is an important branch of Markov chain theory. A classical hidden Markov model was first introduced by Baum and Petrie [1]. It provides a flexible model that is very useful in different areas of applied ...
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