Statistical Inference for Coherent Systems from Partial Information and in Resampling Techniques in Survival Analysis

My PhD research focuses on special rehabilitation firms (they are specialised to employ disabled people) and their employees. Two questionnaires for the above mentioned firms and their employees were created in order to gather information on their activities as well as to explore the relationship between the firms and their employees. Altogether 1030 employees and 109 employers filled in the questionnaires. The current study shows the results of this survey. It can be stated that this paper shows the risk of finding a workplace after a certain time period. According to the latest trends I analyse the labour market situation of people living with disabilities with survival analysis. The survival analysis is able to manage partial information, as well. After summarizing all claims of participants we can make an impression in this area and demonstrate the problems for the labour market generally. I use the Log-rank, Breslow and Tahane-Ware probe.

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On component failure in coherent systems with applications to maintenance strategies

Advances in Applied Probability ◽

10.1017/apr.2020.37 ◽

2020 ◽

Vol 52 (4) ◽

pp. 1197-1223

Author(s):

M. Hashemi ◽

M. Asadi

Keyword(s):

Partial Information ◽

Optimal Strategies ◽

Coherent System ◽

Coherent Systems ◽

Component Failure ◽

Distributed Components ◽

The Status ◽

Optimal Maintenance ◽

Maintenance Policies ◽

Signature Vector

AbstractProviding optimal strategies for maintaining technical systems in good working condition is an important goal in reliability engineering. The main aim of this paper is to propose some optimal maintenance policies for coherent systems based on some partial information about the status of components in the system. For this purpose, in the first part of the paper, we propose two criteria under which we compute the probability of the number of failed components in a coherent system with independent and identically distributed components. The first proposed criterion utilizes partial information about the status of the components with a single inspection of the system, and the second one uses partial information about the status of component failure under double monitoring of the system. In the computation of both criteria, we use the notion of the signature vector associated with the system. Some stochastic comparisons between two coherent systems have been made based on the proposed concepts. Then, by imposing some cost functions, we introduce new approaches to the optimal corrective and preventive maintenance of coherent systems. To illustrate the results, some examples are examined numerically and graphically.

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