Some properties for the discrete Laplace transform order of residual life

2019 ◽  
Vol 13 (2) ◽  
Author(s):  
Nassr Al-Maflehi ◽  
Mohammedelameen Eissa Qurashi
Keyword(s):  
Laplace Transform ◽  
Residual Life ◽  
Laplace Transform Order

A note on stochastic comparisons of excess lifetimes of renewal processes

2001 ◽  
Vol 38 (03) ◽  
pp. 747-753 ◽  
Author(s):  
Félix Belzunce ◽  
Eva M. Ortega ◽  
José M. Ruiz
Keyword(s):  
Laplace Transform ◽  
Renewal Process ◽  
Renewal Processes ◽  
Stochastic Comparisons ◽  
The Laplace Transform ◽  
Interarrival Times ◽  
Laplace Transform Order ◽  
Series Systems ◽  
New Better Than Used ◽  
Better Than

In this paper we provide new results about stochastic comparisons of the excess lifetime at different times of a renewal process when the interarrival times belong to several ageing classes. We also provide a preservation result for the new better than used in the Laplace transform order ageing class for series systems.

scholarly journals Moments Inequalities for NBRUL Distributions with Hypotheses Testing Applications

2018 ◽  
Vol 47 (1) ◽  
pp. 95-104 ◽  
Author(s):  
Rashad Mohamed El-Sagheer ◽  
Mohamed A. W. Mahmoud ◽  
Walid B. H. Etman
Keyword(s):  
Laplace Transform ◽  
Failure Rate ◽  
Higher Order ◽  
Hypotheses Testing ◽  
Practical Applications ◽  
Gamma Distributions ◽  
The Mean ◽  
Laplace Transform Order ◽  
Test For Exponentiality ◽  
Better Than

In this paper, moment inequalities for the new better than renwal used in Laplace transform order ( NBRUL ) class of ageing distributions are derived. This inequalities demonstrate that if the mean life is finite, then all higher order moments exist. A new test for exponentiality versus NBRUL can be constructed using thes inequalities. Pitman's asymptotic efficiencies and critical values of the proposed test are calculated and tabulated. The powers of this test are estimated for some famously alternatives distributions in reliability such as Linear failure rate,Weibull and gamma distributions. Finally, examples in different areas are used as a practical applications of the proposed test.

Testing Exponentiality Against Overall Decreasing Life in Laplace Transform Order

2017 ◽  
Vol 7 (1) ◽  
pp. 19-24 ◽  
Author(s):  
Mohamed A. W. Mahmoud ◽  
Rashad M. EL-Sagheer ◽  
Walid B. H. Etman
Keyword(s):  
Laplace Transform ◽  
Laplace Transform Order

A note on stochastic comparisons of excess lifetimes of renewal processes

2001 ◽  
Vol 38 (3) ◽  
pp. 747-753 ◽  
Author(s):  
Félix Belzunce ◽  
Eva M. Ortega ◽  
José M. Ruiz
Keyword(s):  
Laplace Transform ◽  
Renewal Process ◽  
Renewal Processes ◽  
Stochastic Comparisons ◽  
The Laplace Transform ◽  
Interarrival Times ◽  
Laplace Transform Order ◽  
Series Systems ◽  
New Better Than Used ◽  
Better Than

In this paper we provide new results about stochastic comparisons of the excess lifetime at different times of a renewal process when the interarrival times belong to several ageing classes. We also provide a preservation result for the new better than used in the Laplace transform order ageing class for series systems.

Testing Exponentiality Aganist New Better Than Renwal Used in Laplace Transform Order

2016 ◽  
Vol 5 (2) ◽  
pp. 279-285
Author(s):  
M. A. W. Mahmoud ◽  
Rashad M. EL-Sagheer ◽  
Walid B. H. Etman
Keyword(s):  
Laplace Transform ◽  
Laplace Transform Order ◽  
Better Than
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