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Testing Exponentiality Based on Rényi Entropy With Progressively Type-II Censored Data
Renyi Entropy hazard function Monte Carlo simulation order statistics Type-II progressively censored data
2013/4/28
We express the joint R\'enyi entropy of progressively censored order statistics in terms of an incomplete integral of the hazard function, and provide a simple estimate of the joint R\'enyi entropy of...
Using Moving Average Method To Estimate Entropy In Testing Exponentiality For Type-II Censored Data
Entropy Monte Carlo simulation Kullback-Leibler distance mov-ing average method Hazard function.
2012/9/19
In this paper, we introduce a modified test statistic, by applying moving average method and present a new cdf estimator to estimate the joint entropy of the type-II censored data. We also establish a...
The Atkinson Index，the Moran Statistic，and Testing Exponentiality
Asymptotic normality Atkinson index Carleman condition consistency economic inequality exponential distribution Kullback-Leibler distance Moran statistic nonparametric inference parametric inference
2009/3/5
Constructing tests for exponentiality has been an active and fruitful research area, with numerous applications in engineering, biology and other sciences concerned with life-time data. In the present...
EXPONENTIALITY VERSUS GENERALIZED PARETO——A RESISTANT AND ROBUST TEST
generalized Pareto distribution breakdown point resistance robustness broadened situations mixtures
2009/2/26
Using resistant and robust methods we propose the statistic Tn= (FU−M)/(M−FL)
for testing exponentiality versus generalized Pareto, where FU, FL and M are, respectively,
the upper and lo...
On testing exponentiality against RNBRUE alternatives
Life distributions RNBRUE, Moments inequalities
2010/9/15
A moment inequality for the class of renewal new is better than renewal used in expectation (RNBRUE) of ageing distributions is derived. This class is defined based on comparing the residual equilibri...