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Journal of Mechanical Design, Transactions of the ASME, ISSN 1050-0472, 2015, Volume 137, Issue 3, pp. 31405 - np
A new reliability analysis method is proposed for time-dependent problems with explicit in time limit-state functions of input random variables and input random processes using the total probability... 
SYSTEMS | SUBSET SIMULATION | DESIGN | ENGINEERING, MECHANICAL | Monte Carlo method | Usage | Blades | Analysis | Limit theorems (Probability theory) | Event history analysis | Design and construction | Turbines | Theorems | Computer simulation | Mathematical analysis | Limit states | Reliability analysis | Mathematical models | Random processes | Standards
Journal Article
2004, ISBN 9780521829717, xvi, 124
This book offers a concise survey of basic probability theory from a thoroughly subjective point of view whereby probability is a mode of judgment... 
Probabilities | Judgment
Book
Stochastic Processes and their Applications, ISSN 0304-4149, 02/2013, Volume 123, Issue 2, pp. 651 - 674
...]. More precisely, we prove, without additional assumptions, that the sequence {Fn} actually converges in total variation and that the law of F... 
Wiener chaos | Convergence in distribution | Malliavin calculus | Convergence in total variation | Multiple Wiener–Itô integral | MultipleWiener-Itô integral | CENTRAL LIMIT-THEOREMS | Multiple Wiener-Ito integral | STATISTICS & PROBABILITY | MULTIPLE STOCHASTIC INTEGRALS | Probability | Mathematics
Journal Article
2003, 2nd ed., Universitext, ISBN 3540438718, x, 254
Book
1994, ISBN 9780534192303, viii, 269
Book
1997, ISBN 9810222130, xviii, 414
Book
2000, 1. Aufl., Wiley series in probability and statistics., ISBN 047149464X, xiv, 586
This highly acclaimed text, now available in paperback, provides a thorough account of key concepts and theoretical results, with particular emphasis on... 
Bayesian statistical decision theory | statistical models | Mathematics | Statistical decision
Book
ANNALS OF PROBABILITY, ISSN 0091-1798, 11/2019, Volume 47, Issue 6, pp. 3762 - 3811
Journal Article
2003, 1. Aufl., Wiley series in probability and statistics, ISBN 9780471486954, 478
The use of Bayesian statistics has grown significantly in recent years, and will undoubtedly continue to do so. Applied Bayesian Modellingis the follow-up to... 
Bayesian statistical decision theory | Mathematical statistics | Mathematics
eBook
1977, 4th ed. --, Graduate texts in mathematics, ISBN 9780387902104, Volume 45-46, 2 v.
Book
1996, 2nd ed., ISBN 0534243185, xiii, 503
Book
1988, 2nd ed. --, Springer texts in statistics., ISBN 0387966951, xviii, 467
Book
1978, Volume 28., vi, 174
Book
2011, Mathematical surveys and monographs, ISBN 9780821852859, Volume 171, xiv, 632
Book
1990, 2nd ed., The Duxbury series in statistics and decision sciences., ISBN 9780534916541, xxii, 810
Book
2009, 1. Aufl., ISBN 9780470772690, viii, 268
In a probabilistic model, a rare event is an event with a very small probability of occurrence... 
Mathematics | Limit theorems (Probability theory) | Monte Carlo method | Data processing | System analysis | Digital computer simulation
Book
Bernoulli, ISSN 1350-7265, 08/2016, Volume 22, Issue 3, pp. 1839 - 1893
Journal Article
Stochastic Processes and their Applications, ISSN 0304-4149, 06/2015, Volume 125, Issue 6, pp. 2190 - 2205
.... An old and celebrated result of Prohorov (1952) asserts that Sn converges in total variation to the standard Gaussian distribution if and only if Sn0 has an absolutely continuous component for some integer n0≥1... 
Invariance principle | Absolute continuity | Convergence in law | Convergence in total variation | INEQUALITIES | CONVERGENCE | STATISTICS & PROBABILITY | CENTRAL-LIMIT-THEOREM | Probability | Mathematics
Journal Article
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