Parametric models of reliability functions
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Abstract
In this work, we study a family of parameters-dependent reliability functions. As a result, it can be represented as a parametric surface, where each point represents a different reliability function R (t ,λ) and can be parameterized by n-real valued variable , where I be an open subset. Then we prove that the reliability manifold N is a parametric model of one-dimensional.
References
Chaturvedi, Sanjay Kumar., Network reliability: measures and evaluation. Jhon Wiley Sons, (2016).
Calin, Ovidiu, Constantin Udrişte., Geometric modeling in probability and statistics. Vol. 121. Berlin, Germany:
Amari, Shunichi., Differential-geometrical methods in statistics. Vol. 28. Springer Science & Business Media, 2012.
Springer, (2014).
Amari, Shunichi., Differential geometrical theory of statistics. Differential geometry in statistical inference. 10, (1987), 19–94.
Tu, Loring W., Manifolds. An Introduction to Manifolds. New York, NY: Springer New York, (2011)
