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Non-Parametric and Semi-Parametric Inference for One-Shot Devices under Accelerated life-test

   Department of Mathematical Sciences

  ,  Applications accepted all year round  Funded PhD Project (Students Worldwide)

About the Project

One-shot devices, for example, automobile airbags, electro-explosive devices, munitions and rockets, are products or equipments that can be used only once. A nature characteristic of one-shot devices is that they get destroyed immediately after their use, and therefore their actual lifetimes are never observable. The only information observed is the condition whether they are functional or not at the time when they are used. The information obtained under a normal test is quite limited, especially for one-shot device. Accelerated life-test (ALT), developed by increasing the stress levels, is widely used to increase the failure. This project aims to develop some semi-parametric and non-parametric models for one-shot device data under ALTs, so that the inference obtained will be more robust.

For more information about doctoral scholarship and PhD programme at Xi’an Jiaotong-Liverpool University (XJTLU), please visit




The candidate should have a first class or upper second class honours degree, or a master’s degree (or equivalent qualification), in Mathematics or Statistics.  Evidence of good spoken and written English is essential. The candidate should have an IELTS score of 6.5 or above, if the first language is not English. This position is open to all qualified candidates irrespective of nationality.


The student will be awarded a PhD degree from the University of Liverpool (UK) upon successful completion of the program.

How to apply

Interested applicants are advised to email (XJTLU principal supervisor’s email address) the following documents for initial review and assessment (please put the project title in the subject line).

  • CV
  • Two reference letters with company/university letterhead
  • Personal statement outlining your interest in the position
  • Proof of English language proficiency (an IELTS score of 6.5 or above)
  • Verified school transcripts in both Chinese and English (for international students, only the English version is required)
  • Verified certificates of education qualifications in both Chinese and English (for international students, only the English version is required) 
  • PDF copy of Master Degree dissertation (or an equivalent writing sample) and examiners reports available

Informal enquiries may be addressed to Professor/Dr. Xiaojun Zhu (), whose personal profile is linked below,


Funding Notes

The PhD studentship is available for three years’ subject to satisfactory progress by the student. The award covers tuition fees for three years (currently equivalent to RMB 80,000 per annum) and provides a monthly stipend of 5,000 RMB as a contribution to living expenses. It also provides up to RMB 16,500 to allow participation at international conferences during the period of the award. It is a condition of the award that holders of XJTLU PhD scholarships carry out 300-500 hours of teaching assistance work per year.

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