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Statistical Inference on Residual LifeIntroduction

Statistical Inference on Residual Life: Introduction [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.] http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png

Statistical Inference on Residual LifeIntroduction

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Publisher
Springer New York
Copyright
© Springer Science+Business Media New York 2014
ISBN
978-1-4939-0004-6
Pages
1 –18
DOI
10.1007/978-1-4939-0005-3_1
Publisher site
See Chapter on Publisher Site

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.]

Published: Dec 14, 2013

Keywords: Empirical Process; Residual Life; Counting Process; Brownian Bridge; Cumulative Hazard Function

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