Statistical Analysis for Constant-stress Partially Accelerated Life Test with Interval Censored Data

doi:10.13371/j.cnki.chin.q.j.m.2019.01.001

Chinese Quarterly Journal of Mathematics ›› 2019, Vol. 34 ›› Issue (1): 1-13.doi: 10.13371/j.cnki.chin.q.j.m.2019.01.001

School of Mathematics and Physics, Jingchu University of Technology. College of Applied Sciences,Beijing University of Technology

Accepted:2018-05-08 Online:2019-03-30 Published:2020-10-06
About author:LONG Bing(1973-),male, native of Jingmen, Hubei, an associate professor of Jingchu University of Technology, engages in reliability and application; ZHANG Zhong-zhan(1963-), male, native of Cangzhou, Hebei, a professor of Beijing University of Technology, engages in application of probability and statistics.
Supported by:
Supported by National Natural Science Foundation of China(11271039)；

Abstract

Abstract: In this paper, a statistical analysis method is proposed to research life characteristics of products based on the partially accelerated life test. We discuss the statistical analysis for constant-stress partially accelerated life tests with Lomax distribution based on interval censored samples. The EM algorithm is used to obtain the maximum likelihood estimations(MLEs) and interval estimations for the shape parameter and acceleration factor.The average relative errors(AREs), mean square errors(MSEs), the confidence intervals for the parameters, and the influence of the sample size are discussed. The results show that the AREs and MSEs of the MLEs decrease with the increase of sample size. Finally, a simulation sample is used to estimate the reliability under different stress levels.

Key words: Interval censored samples, Partially accelerated life test, Accelerated factor;EM algorithm, Fisher information matrix

CLC Number:

O213.2

LONG Bing, ZHANG Zhong-zhan. Statistical Analysis for Constant-stress Partially Accelerated Life Test with Interval Censored Data[J]. Chinese Quarterly Journal of Mathematics, 2019, 34(1): 1-13.

[1]	LONG Qin-yi, XU Li-ping. Estimates of the Parameter and Reliability Function for the Topp-Leone Distribution under Type-I Left Censoring [J]. Chinese Quarterly Journal of Mathematics, 2023, 38(1): 97-110.
[2]	LIU Shuo. A Hovey Triple Arising from a Frobenius Pair [J]. Chinese Quarterly Journal of Mathematics, 2021, 36(2): 176-187.
[3]	GUAN Daniel. On Some Recent Progress in Complex Geometry\|the Area Related to Homogeneous Manifolds [J]. Chinese Quarterly Journal of Mathematics, 2020, 35(2): 111-144.
[4]	LIU Jiang-jun, QU Zhen, HU Gang. A Regularity Criterion Via the Pressure On the Three-dimensional Micropolar Fluid Equations in Besov Space [J]. Chinese Quarterly Journal of Mathematics, 2020, 35(1): 46-55.
[5]	WANG Ya-min, SAI Peng-fei. Common Fixed Point Theorems for Generalized Cyclic Contraction Pairs in 62-metric Spaces [J]. Chinese Quarterly Journal of Mathematics, 2020, 35(1): 63-76.
[6]	MAO Song, SHI Yi-min. Likelihood Inference under Generalized Hybrid Censoring Scheme with Competing Risks [J]. Chinese Quarterly Journal of Mathematics, 2016, 31(2): 178-188.
[7]	WANG Feng-xiao. Preservation Property of NBUCA Life Distributions [J]. Chinese Quarterly Journal of Mathematics, 2015, 30(2): 206-210.
[8]	HOU Hua-lei, JIANG Yao-wei, SHI Yi-min. Parameter Estimations in BurrXII Model Using Masked Data [J]. Chinese Quarterly Journal of Mathematics, 2011, 26(2): 251-255.
[9]	HAN Ming. E-Bayesian Estimation of the Products Reliability when Testing Reveals no Failure [J]. Chinese Quarterly Journal of Mathematics, 2009, 24(3): 407-414.
[10]	WANG Yu. Parameter Estimations of the TFR Model Under Exponential Distribution at a Normal Stress [J]. Chinese Quarterly Journal of Mathematics, 2009, 24(2): 234-238.
[11]	WANG Rong-hua, FEI He-liang . Statistical Analysis for the Birnbaum-Saunders Fatigue Life Distribution under Multiply Type-ⅡCensoring [J]. Chinese Quarterly Journal of Mathematics, 2006, 21(1): 15-27.
[12]	WANG Rong-hua, FEI He-liang. Statistical Analysis for the Birnbaum-Saunders Fatigue Life Distribution under Type-Ⅱ Bilateral Censoring and Multiply Type-II Censoring [J]. Chinese Quarterly Journal of Mathematics, 2004, 19(2): 126-132.
[13]	LONG Qin-yi, XU Li-ping. Estimates of the Parameter and Reliability Function for the Topp-Leone Distribution under Type-I Left Censoring#br# [J]. Chinese Quarterly Journal of Mathematics, 0, (): 1-14.

Statistical Analysis for Constant-stress Partially Accelerated Life Test with Interval Censored Data

PDF (PC)

Knowledge

Abstract

Cite this article

share this article

References

Related Articles 13

Recommended Articles

Metrics

Comments