Shocks runs and random sums
Web1 Jun 2001 · Shock Shocks, runs and random sums Authors: F. Mallor Universidad Pública de Navarra Edward Omey KU Leuven Abstract In this paper we study random variables … Web11 Sep 2012 · A shock occurs with probability 𝑝 in each period 𝑛 = 1, 2, …. The period should be understood as hour, day, and so forth. The magnitude of the shock which occurs in period 𝑗 is a random variable denoted by 𝐵 𝑗. Assume that such a system fails if and only if the sum of the magnitudes of cumulative shocks exceed, the level 𝑘 for 𝑘 > 0.
Shocks runs and random sums
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Web28 Sep 2024 · One of the main random variables is the number of components affected by successive shocks. Phase-type distributions have been used to model the intervals … Web16 Aug 2024 · For the products that are exposed to random shocks in the field use, the continuous degradation processes of the products are often affected by random shocks. …
Web1 Dec 2006 · Multivariate subexponential distributions and random sums of random vectors. Let F ( x ) denote a distribution function in R d and let F *n ( x ) denote the nth convolution power of F ( x ). In this paper we discuss the asymptotic behaviour of 1 - F *n ( x ) as x tends to ∞ in a certain prescribed way. It turns out that in many cases 1 - F *n ... WebShocks, Runs, and Random Sums: Asymptotic Behavior of the Tail of the Distribution Function
Web1 Feb 2012 · Shock models are of special interest in applied probability and reliability theory. In these models, the system is assumed to subject to shocks that occur randomly over time and they are usually defined with the help of renewal processes whose interarrival times represent the times between successive shocks. Web30 Nov 2024 · A k-out-of-n system reliability is being investigated in which all components have identical characteristics and are exposed to dependent failure processes degradation and random shock stress. In this paper, we look at two competing failures are nonfatal due to gradual degradation and the sudden increment in the degradation caused by random …
Web1 Nov 2024 · Typically, there are five different types of random shock models: (i) extreme shock model: a device fails when the size of any shock is beyond a specified threshold value, (ii) cumulative shock model: when the accumulated damage of shocks is beyond a critical level, a device fails, (iii) m-shock model: a device experiences failure after m …
WebConsider all $m$-tuples of non-negative integers, which we call $(n_{1},n_{2}\ldots n_{m})$ which sum to $k$. Find the sum of the products $x_{n_{1}}x_{n_{2}}\ldots x_{n_{m}}$ over … gallery hexoWebF. Mallor and E. Omey, “Shocks, runs and random sums: Asymptotic behavior of the distribution function,” (2001) (to appear). F. Mallor, E. Omey, and J. Santos, “Lifetime of series systems subject to shocks,” J. Dependability Quality Management (2003) (to appear). gallery hiderWebShocks, runs and random sums 439 Typical critical regions are R = [0, u], R = (u, oo) or R = (u, v], where v > u > 0. The random variable N(k, R) counts the number of experiments until … gallery high fired ceramicWeb1 Jan 2003 · Shock models in system reliability are usually defined by the time between two consecutive shocks, the damage caused by a shock, the system failure and the … gallery hide appWeb22 May 2013 · In the general setup of shock models, the system is assumed to subject shocks that occur randomly over time and they are usually defined by the help of renewal … black camo sweatpants for womenWeb1 Jan 2013 · Shocks, runs and random sums Journal of Applied Probability, 38 ( 2001), pp. 438 - 448 View in Scopus Google Scholar [4] G.J. Wang, Y.L. Zhang A shock model with two-type failures and optimal replacement policy International Journal of Systems Science, 36 ( 2005), pp. 209 - 214 CrossRef View in Scopus Google Scholar [5] J-M. Bai, Z-H. Li, X-B. Kong black camo reflective brilliantWebShocks, runs and random sums441 and N(k,R)−N(k−1,R)=D1+N∗(k,R)1{A/∈R}. (2.5) From(2.4)itfollowsthatY(k,R)=DY(k− 1,R)+B+Y∗(k,R)1{A/∈R}. Usingthe... gallery highlight selected item