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On calculation of moments of ladder heights
Lithuanian Mathematical Journal, 2006zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On a Method of Calculating Moments of Ladder Heights
Theory of Probability and Its Applications, 1986Translation from Teor. Veroyatn. Primen. 30, No.3, 535-538 (Russian) (1985; Zbl 0575.60050).
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Exact expressions for moments of ladder heights
Doklady Mathematics, 2008Let \((S_n)_{n\geq 0}\) be a zero-delayed random walk with i.i.d. increments. The paper provides explicit expressions for \(\operatorname{E}Z^m\), \(m\in\mathbb{N}\), where \(Z\) is the first ladder height. These expressions take different forms depending on whether \(\operatorname{E}S_10\).
S V Nagaev
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Problems in Calculating Moments and Distribution Functions of Ladder Heights
Journal of Mathematical Sciences, 2016The problem of approximate calculation of distribution functions of ladder heights is considered in the context of the finite number of its known moments. This problem is solved by means of the Chebyshev continued fractions method. The midpoint is finding the terms of fraction of the nth convergents of continued fractions. The moments are calculated by
Tatiana Lazovskaya, S V Nagaev
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The ascending ladder height distribution for a certain class of dependent random walks
Statistica Neerlandica, 1993A random walk {Sn} with Sn= (Xl ‐ Yl) +…+ (Xn ‐ Yn) is considered where the Xn Yn are non‐negative random variables, the Yn are exponentially distributed with rate δ and the Xn have common distribution function B. It is shown that the expression δ(1 ‐ S (x)) for the density of the ascending ladder height distribution of (Sn), which is well‐known for i ...
Asmussen, Søren, Schmidt, V.
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The View from the Heights of Arnstein's Ladder: Resident Engagement by Community Foundations
National Civic Review, 2013G. Albert Ruesga, Barry Knight
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On the local behaviour of ladder height distributions
Journal of Applied Probability, 1994There is a well-known connection between the asymptotic behaviour of the tail of the distribution of the increasing ladder height and the integrated tail of the step distribution of a random walk which either drifts to –∞, or oscillates and whose decreasing ladder height has finite mean.
Bertoin, J., Doney, R. A.
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An insensitivity property of ladder height distributions
Journal of Applied Probability, 1992This paper considers the undershoot of a general continuous-time risk process with dependent increments under a certain initial level. The increments are given by the locations and amounts of claims which are described by a stationary marked point process.
Frenz, Michael, Schmidt, Volker
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Conditions for Finite Ladder Height and Delay Moments
Operations Research, 1984We provide simple proofs for several known results: conditions for finite ladder height moments are obtained in a unified way for random walks under both the oscillating and drift cases. The random walk conditions are used to obtain conditions for finite delay moments for the GI/G/1 queue.
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The technique for determining time for rescuing people from height with the help of an aerial ladder
Fire and Emergencies: prevention, elimination, 2022Purpose. The article provides an analysis of people rescue procedure from height during a fire with the help of an aerial ladder, defines the speed characteristics for people to descend the ladder, analyzes the factors that influence the speed of descent, and offers the technique for determining time for rescuing people from height. Methods. To develop
M.V. SIBIRYAKOV +2 more
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