Abstract
In this chapter, we review some fundamental mathematical tools often used in development of probability and statistics theory, especially for the quantile (residual life) function, such as almost sure convergence, strong law of large numbers (SLLN), empirical processes, quantile processes, counting process martingale, Brownian motion, Brownian bridge, and the check function.
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Jeong, JH. (2014). Introduction. In: Statistical Inference on Residual Life. Statistics for Biology and Health. Springer, New York, NY. https://doi.org/10.1007/978-1-4939-0005-3_1
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DOI: https://doi.org/10.1007/978-1-4939-0005-3_1
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