A two-parameter lifetime distribution with decreasing failure rate

2008 ◽  
Vol 52 (8) ◽  
pp. 3889-3901 ◽  
Author(s):  
Rasool Tahmasbi ◽  
Sadegh Rezaei
Keyword(s):  
Failure Rate ◽  
Lifetime Distribution ◽  
Decreasing Failure Rate ◽  
Two Parameter

A New Two-Parameter Lifetime Distribution with Increasing Failure Rate

2012 ◽  
Vol 27 (1) ◽  
pp. 1-17 ◽  
Author(s):  
Fatemeh Shahsanaei ◽  
Sadegh Rezaei ◽  
Abbas Pak
Keyword(s):  
Failure Rate ◽  
Lifetime Distribution ◽  
Increasing Failure Rate ◽  
Two Parameter

scholarly journals Parameter estimation for a two-parameter bathtub-shaped lifetime distribution

2012 ◽  
Vol 36 (11) ◽  
pp. 5380-5392 ◽  
Author(s):  
Ammar M. Sarhan ◽  
D.C. Hamilton ◽  
B. Smith
Keyword(s):  
Parameter Estimation ◽  
Lifetime Distribution ◽  
Two Parameter

Is high-altitude mountaineering Russian roulette?

2013 ◽  
Vol 9 (1) ◽  
pp. 1-14 ◽  
Author(s):  
Edward K. Cheng
Keyword(s):  
High Altitude ◽  
Failure Rate ◽  
Rate Model ◽  
Reliability Engineering ◽  
Significant Difference ◽  
Inference Techniques ◽  
Decreasing Failure Rate

AbstractWhether the nature of the risks associated with climbing high-altitude (8000 m) peaks is in some sense “controllable” is a longstanding debate in the mountaineering community. Well-known mountaineers David Roberts and Ed Viesturs explore this issue in their recent memoirs. Roberts views the primary risks as “objective” or uncontrollable, whereas Viesturs maintains that experience and attention to safety can make a significant difference. This study sheds light on the Roberts-Viesturs debate using a comprehensive dataset of climbing on Nepalese Himalayan peaks. To test whether the data is consistent with a constant failure rate model (Roberts) or a decreasing failure rate model (Viesturs), it draws on Total Time on Test (TTT) plots from the reliability engineering literature and applies graphical inference techniques to them.

Stochastic inequalities for an overflow model

1987 ◽  
Vol 24 (3) ◽  
pp. 696-708 ◽  
Author(s):  
Arie Hordijk ◽  
Ad Ridder
Keyword(s):  
Failure Rate ◽  
Lower Bounds ◽  
Approximation Method ◽  
Queueing Networks ◽  
Upper And Lower Bounds ◽  
Phase Type ◽  
Phase Type Distributions ◽  
Decreasing Failure Rate ◽  
General Method

A general method to obtain insensitive upper and lower bounds for the stationary distribution of queueing networks is sketched. It is applied to an overflow model. The bounds are shown to be valid for service distributions with decreasing failure rate. A characterization of phase-type distributions with decreasing failure rate is given. An approximation method is proposed. The methods are illustrated with numerical results.

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