Results 221 to 230 of about 440,858 (262)

Weak Convergence of Random Sums

Theory of Probability & Its Applications, 2002
The authors prove various limit theorems for sums of a random number of independent random variables. Throughout, the number of variables is independent of the summands themselves.
Kruglov, V. M., Zhang, Bo
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Discounting Certain Random Sums

Scandinavian Actuarial Journal, 1990
Abstract The distribution of the present value of a random sum under random timing is considered. A characterization for the associated characteristic function is established under certain conditions.
T. P. Artikis, A. G. Malliaris
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Random Phasor Sums

2020
In this chapter we examine the first-order statistical properties of the amplitude and phase of various kinds of random phasor sums. By “first-order” we mean the statistical properties at a point in space or, for time-varying speckle, in space–time.
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Almost Odd Random Sum-Free Sets

Combinatorics, Probability and Computing, 1998
We show that if S1 is a strongly complete sum-free set of positive integers, and if S0 is a finite sum-free set, then, with positive probability, a random sum-free set U contains S0 and is contained in S0∪S1. As a corollary we show that, with positive probability, 2 is the only even element of a random sum-free set.
Calkin, Neil J., Cameron, P. J.
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Sums of Random Variables

2002
The command “Let X be …” empowers the mathematical modeller. The use of a single symbol X to represent the main object of interest, and the use of good notation in an analysis, are often a long stride towards the solution. In modelling random phenomena, we may find that X is either naturally the sum of other quantities Y 1,Y 2,…,Y n , or can be ...
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Regular Methods of Summing Random Terms

Theory of Probability & Its Applications, 1986
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Random sums of random variables and vectors: Including infinite means and unequal length sums

Lithuanian Mathematical Journal, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Omey, Edward, Vesilo, Rein
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Weak convergence of random sums and maximum random sums under nonrandom norming

Journal of Mathematical Sciences, 1996
Necessary and sufficient conditions are obtained for the weak convergence of random sums and maximum random sums of i.i.d. random variables. Limit distributions for these sums are described. Let \(v\), \(N_n\), \(X_n\), \(n=1,2,\dots\), be random variables defined on a probability space \((\Omega,{\mathcal A},P)\), where \(v\) is positive with ...
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