JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2022, Vol. 57 ›› Issue (1): 95-100.doi: 10.6040/j.issn.1671-9352.0.2020.365

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Lifetime behavior of the open censored δ shock model with multiple Bernoulli arrival

JIANG Wei-xin, MA Ming*, LIU Hua   

  1. School of Mathematics and Computer Science, Northwest Minzu University, Lanzhou 730030, Gansu, China
  • Published:2021-12-21

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Abstract: A new censored δ shock model is studied, and the lifetime properties of the discrete open censored δ shock model with renew intervals following non-negative geometric distribution are discussed. In the case of any critical failure value, the lifetime distribution, average lifetime, reliability function and failure rate function of the system are obtained. In order to make the results more intuitive, the relationship between average life and some special parameters is analyzed by using figure and table.

Key words: censored δ shock model, non-negative geometric distribution, lifetime distribution

CLC Number: 

  • O213.2
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[1] YE Jian-hua, MA Ming. Lifetime distribution behavior of discrete open censored δ-shock model [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2015, 50(04): 8-13.
[2] MA Ming. Computation of the integral of lifetime distribution in the δ-shock model and the properties of the M function [J]. J4, 2008, 43(12): 15-19.
[3] CAO Jing,YUE De-quan . The Gnedenko system attended by a repairman with simple vacations [J]. J4, 2008, 43(6): 77-82 .
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