Comments on `A New Test for Mean Residual Life Times' by Ahmad

Biometrika ◽  
1993 ◽  
Vol 80 (2) ◽  
pp. 473
Author(s):  
Yoshiki Kumazawa
Stats ◽  
2019 ◽  
Vol 2 (2) ◽  
pp. 247-258 ◽  
Author(s):  
Pedro L. Ramos ◽  
Francisco Louzada

A new one-parameter distribution is proposed in this paper. The new distribution allows for the occurrence of instantaneous failures (inliers) that are natural in many areas. Closed-form expressions are obtained for the moments, mean, variance, a coefficient of variation, skewness, kurtosis, and mean residual life. The relationship between the new distribution with the exponential and Lindley distributions is presented. The new distribution can be viewed as a combination of a reparametrized version of the Zakerzadeh and Dolati distribution with a particular case of the gamma model and the occurrence of zero value. The parameter estimation is discussed under the method of moments and the maximum likelihood estimation. A simulation study is performed to verify the efficiency of both estimation methods by computing the bias, mean squared errors, and coverage probabilities. The superiority of the proposed distribution and some of its concurrent distributions are tested by analyzing four real lifetime datasets.


2003 ◽  
Vol 55 (1) ◽  
pp. 217-226 ◽  
Author(s):  
David M. Bradley ◽  
Ramesh C. Gupta

1990 ◽  
Vol 31 (1) ◽  
pp. 307-307
Author(s):  
A. A. Alzaid

2012 ◽  
Vol 41 (6) ◽  
pp. 1105-1115 ◽  
Author(s):  
M. Khorashadizadeh ◽  
A. H. Rezaei Roknabadi ◽  
G. R. Mohtashami Borzadaran

2006 ◽  
Vol 35 (8) ◽  
pp. 1513-1523 ◽  
Author(s):  
Asok K. Nanda ◽  
Subarna Bhattacharjee ◽  
S. S. Alam

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