Zobrazeno 1 - 10
of 45
pro vyhledávání: '"Marco Burkschat"'
Autor:
S. Pitzen, Marco Burkschat
Publikováno v:
Journal of Applied Probability. 57:385-406
Two definitions of Birnbaum’s importance measure for coherent systems are studied in the case of exchangeable components. Representations of these measures in terms of distribution functions of the ordered component lifetimes are given. As an examp
Publikováno v:
Methodology and computing in applied probability 22(1), 173-189 (2019). doi:10.1007/s11009-019-09695-8
Methodology and computing in applied probability 1-17 (2019). doi:10.1007/s11009-019-09695-8
Published by Springer Science + Business Media B.V, Dordrecht [u.a.]
Published by Springer Science + Business Media B.V, Dordrecht [u.a.]
Autor:
Marco Burkschat, Ekaterina Bezgina
Publikováno v:
Journal of Multivariate Analysis. 169:95-109
Necessary and sufficient conditions for multivariate total positivity of order 2 (MTP 2 ) for density functions of some class of exchangeable random variables are obtained. The considered densities occur via symmetrization of particular ordered rando
Publikováno v:
Journal of Mathematical Analysis and Applications. 467:863-873
In this note, the distribution of the lifetime of a coherent system with independent and identically distributed component lifetimes is considered. Conditions yielding unimodality or logconcavity of the density function of the system lifetime are obt
Publikováno v:
Statistics & Probability Letters. 142:1-7
A conditional IFR property for a coherent system with i failed components, and a uniform IFR property, are introduced and studied. The class of mixed systems with the uniform IFR property is characterized. A pair of examples illustrate our findings.
Autor:
Marco Burkschat, Mariusz Bieniek
Publikováno v:
Journal of Applied Probability. 55:473-487
We study the conditions for unimodality of the lifetime distribution of a coherent system when the ordered component lifetimes in the system are described by generalized order statistics. Results for systems with independent and identically distribut
Autor:
Marco Burkschat, Tomasz Rychlik
Publikováno v:
TEST. 27:618-638
We consider coherent systems with components whose exchangeable lifetime distributions come from the failure-dependent proportional hazard model, i.e., the consecutive failures satisfy the assumptions of the generalized order statistics model. For a
Autor:
Marco Burkschat, Jorge Navarro
Publikováno v:
Probability in the Engineering and Informational Sciences. 32:246-274
We consider systems based on sequential order statistics (SOS) with underlying distributions possessing proportional hazard rates (PHRs). In that case, the lifetime distribution of the system can be expressed as a distorted distribution. Motivated by
Publikováno v:
Applied Mathematical Modelling. 40:8156-8174
Type-I censored sequential order statistics are introduced and their distribution is examined. In the case of underlying exponential distributions, the conditional joint and marginal distributions of the normalized spacings given the number of observ
Publikováno v:
Journal of Statistical Computation and Simulation. 86:2036-2052
Distributions of the maximum likelihood estimators (MLEs) in Type-II (progressive) hybrid censoring based on two-parameter exponential distributions have been obtained using a moment generating function approach. Although resulting in explicit expres