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In the present work we study the distribution of a random sum of random variables which is related to a binary scan statistic for Markov dependent trials.
It was mentioned in [52] without any proof that the previous PDF shown in equation (20) 'is consistent with a random sum of independent RVs': X = ∑ i = 1 M X i (21).
Every day that you launch the app, you earn a random sum of gold in the daily draw.
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The number of representative clusters was chosen based on a comparison of difference between the actual and random sum of squared error (SSEs) in the data against different tested cluster solutions.
It should be emphasized that the above assertion is valid for the random sum of ν i.i.d.i.d
We remark that Baltrūnas et al. [7] obtained an important equivalently precise large deviations result for the random sums of nonnegative subexponential r.v.s.
Such models are of the compound type, namely random sums of independent positive random variables, and a reliable statistical model is available for both.
Some results related to random sums of independent integer-valued random variables are also investigated.
Lin and Stoyanov (2002) and Gut (2003) studied the moment problem for random sums of independently identically distributed (i.i.d).i.d
Using this method it is possible to establish some bounds in the Poisson approximation for sums (or random sums) of independent integer-valued random vectors.
However, the established convergence rates in limit theorems for random sums of this paper are perfect illustrations for powerful applications of the Trotter-distance method in the studies of random-sum limit theorems.
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