TY - JOUR
T1 - The NBUT class of life distributions
AU - Ahmad, Ibrahim A.
AU - Kayid, Mohamed
AU - Li, Xiaohu
PY - 2005/9
Y1 - 2005/9
N2 - A new class of life distributions, namely new better than used in the total time on test transform ordering (NBUT), 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 family of the NBUT distribution 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 occurred. Finally, we discuss testing exponentially against the NBUT aging property.
AB - A new class of life distributions, namely new better than used in the total time on test transform ordering (NBUT), 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 family of the NBUT distribution 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 occurred. Finally, we discuss testing exponentially against the NBUT aging property.
KW - Increasing concave order
KW - K out-of-n systems
KW - Life testing
KW - Mixing
KW - Random minima
KW - Series system
KW - Stochastic order
KW - TTT transform order
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U2 - 10.1109/TR.2005.853277
DO - 10.1109/TR.2005.853277
M3 - Article
AN - SCOPUS:27844512479
SN - 0018-9529
VL - 54
SP - 396
EP - 401
JO - IEEE Transactions on Reliability
JF - IEEE Transactions on Reliability
IS - 3
ER -