
Exponential and Hypoexponential Distributions: Some Characterizations
The (general) hypoexponential distribution is the distribution of a sum ...
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Construction Methods for Gaussoids
The number of ngaussoids is shown to be a double exponential function i...
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On Asymptotically Tight Tail Bounds for Sums of Geometric and Exponential Random Variables
In this note we prove bounds on the upper and lower probability tails of...
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Continuous scaled phasetype distributions
We study random variables arising as the product of phasetype distribut...
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Multivariate Matrix Mittag–Leffler distributions
We extend the construction principle of multivariate phasetype distribu...
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Roman Domination of the Comet, Double Comet, and Comb Graphs
One of the wellknown measurements of vulnerability in graph theory is d...
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Equipartitions with Wedges and Cones
A famous result about mass partitions is the so called HamSandwich theo...
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Asymptotics of running maxima for φsubgaussian random double arrays
The article studies the running maxima Y_m,j=max_1 ≤ k ≤ m, 1 ≤ n ≤ j X_k,n  a_m,j where {X_k,n, k ≥ 1, n ≥ 1} is a double array of φsubgaussian random variables and {a_m,j, m≥ 1, j≥ 1} is a double array of constants. Asymptotics of the maxima of the double arrays of positive and negative parts of {Y_m,j, m ≥ 1, j ≥ 1} are studied, when {X_k,n, k ≥ 1, n ≥ 1} have suitable "exponentialtype" tail distributions. The main results are specified for various important particular scenarios and classes of φsubgaussian random variables.
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