On a Life Distribution Family Based on Total Time on
Test on Average: NBUTA
by A. N. Ahmed, H. M. Hewedi, E. A. Rakha and E. M..
A new class of life distributions, namely new
better than used in the total time on test on average
transform ordering (TTTA), is introduced. The
relationship of this class to other classes of life
distributions, and closure properties under some
reliability operations, are discussed. We provide a
simple argument based on stochastic orders that the
class is closed under the formation of series systems in
case of independent identically distributed components.
Behavior of this class is developed in terms of the
monotonicity of the residual life of k -out-of n systems
given the time at which the (n-k)-th failure has
Finally, we discuss testing exponentially against the
Increasing concave order, k out-of n systems,
life testing, mixing, random minima, series system,
stochastic order, transform order
A. N. Ahmed, email@example.com
H. M. Hewedi, firstname.lastname@example.org
E. A. Rakha, email@example.com
E. M. Shokry, firstname.lastname@example.org
Chaganty, N. Rao, email@example.com
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