A family of test statistics for trend change in mean residual life with unknown turning point using censored data

作者：Na Myung Hwan^*

来源：Journal of the Korean Statistical Society, 2012, 41(3): 333-339.

DOI：10.1016/j.jkss.2011.11.002

• Exponential test
• IDMRL alternative
• Randomly censored data
• Asymptotic distribution
• Durbin%26apos
• s approximation method

In this paper, we develop a family of test statistics for testing exponentiality against increasing then decreasing mean residual life alternatives to accommodate the randomly censored data when neither the change point nor the proportion is known. We establish the asymptotic null distribution of test statistics. Monte Carlo simulations are conducted to investigate the speed of convergence of test statistics to the asymptotic null distribution and study the performance of test statistics by the power of tests.

• 出版日期2012-9