TY - BOOK AU - Nair, N. Unnikrishanan. AU - Sankaran, P. G. AU - Balakrishnan, N. TI - Quantile-based Reliability Analysis SN - 9780817683603 PY - 2013/// CY - New York: PB - Brikhauser, KW - Nanomonotone KW - Stochastic orders KW - Test transforms N1 - References 361-384p.; Index 385-390p.; Author Index 391-397p N2 - Quantile-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 ER -