000 01875nam a2200289Ia 4500
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005 20251222155951.0
008 220909b |||||||| |||| 00| 0 eng d
020 _a9780817683603
037 _cTextbook
040 _aCSL
_beng
_cCSL
041 _aeng
084 _aB281, Q3;1 TB
_qCSL
100 _aNair, N. Unnikrishanan.
_eauthor.
_9858761
245 0 _aQuantile-based Reliability Analysis
260 _aNew York:
_bBrikhauser,
_c2013.
300 _axx, 397p.
_b: ill.
500 _aReferences 361-384p.; Index 385-390p.; Author Index 391-397p.
520 _aQuantile-Based Reliability Analysis presents a novel approach to reliability theory using quantile functions in contrast to the traditional approach based on distribution functions. Quantile functions and distribution functions are mathematically equivalent ways to define a probability distribution. However, quantile functions have several advantages over distribution functions. First, many data sets with non-elementary distribution functions can be modeled by quantile functions with simple forms. Second, most quantile functions approximate many of the standard models in reliability analysis quite well. Consequently, if physical conditions do not suggest a plausible model, an arbitrary quantile function will be a good first approximation. Finally, the inference procedures for quantile models need less information and are more robust to outliers.
650 _a Nanomonotone
_9858762
650 _a Stochastic orders
_9858763
650 _aTest transforms
_9858764
700 _aSankaran, P. G.
_eco-author.
_9858765
700 _aBalakrishnan, N.
_eco-author.
_9858766
942 _hB281, Q3;1 TB
_cTB
_2CC
_n0
999 _c13705
_d13705