. . . By Prof. Niladri Chatterjee | IIT Delhi The course introduces the concept of probability through Kolmogorov’s Axioms. . . . . . . .         Journal of Data Analysis,             . . . . . . . . . . . . . Jing, B.-Y., Shao, Q.-M. and Wang, Q.Y. . . . A Novel Failure Mode and Effects Analysis Method Based on Fuzzy Evidential Reasoning Rules. Please check your email for instructions on resetting your password. . . . An evidence theory based model fusion method for degradation modeling and statistical analysis. . . Email: jinglei [at] andrew [dot] cmu [dot] edu. . . . . How to generate algebras from semi-algebras. . Working off-campus? . . . . 6. . . . . . . * (2012). . . . At the end of semester, you will write a three-page reading summary. . . View 荆炳义高等概率论讲义 - Advanced+Probability+Theory from EE 223 at Nanjing University. . . . trailer << /Size 36 /Prev 86780 /Info 19 0 R /Root 21 0 R >> startxref 0 %%EOF 21 0 obj << /Type /Catalog /Pages 22 0 R >> endobj 22 0 obj << /Type /Pages /Kids [ 23 0 R 1 0 R 7 0 R 13 0 R ] /Count 4 >> endobj 34 0 obj << /Length 35 0 R /S 56 /Filter /FlateDecode >> stream . . . . and probability. . \u8346\u70b3\u4e49\u9ad8\u7b49\u6982\u7387\u8bba\u8bb2\u4e49 - Advanced+Probability+Theory - Advanced Probability Theory Bing-Yi JING Department of Mathematics Hong Kong University, 4 out of 4 people found this document helpful, Hong Kong University of Science and Technology. . and Wood, A. . Exponential empirical likelihood is not Bartlett correctable. . .           Statistics and .                     . . . and Wood, A. . . . . . . . . . . . . Source: Probability theory and related fields. . . . You will pick one topic, do some basic search, and find one or two papers (or book chapters) to read carefully. . . . . An improved evidential DEMATEL identify critical success factors under uncertain environment. . . On normal approximations to U-statistics. Annals of Statistics 22, 1115-1132. Testing for pure-jump processes for high-frequency data. . Physica A: Statistical Mechanics and its Applications. . . and Wang, Q.Y. . those proofs illustrate important techniques and concepts. data. . Jing, B.-Y., Pan, G.M., Shao, Q.M., Zhou, W. (2010). . Saddlepoint approximation for . . . . . . . .            WaVPeak: picking NMR peaks . . Email: jiangwen@nwpu.edu.cn. . . . . . . . . . . . . . . . . . . . . . . . through wavelet transform and volume-based filtering. . 20. The Hong Kong University of Science and Technology, The Hong Kong University of Science and Technology • MAFS 5020, University of Illinois, Urbana Champaign • EE 229, Indian Institute of Science, Bangalore • EE 202, University of Illinois, Urbana Champaign • STAT 433. . . Jing, B.-Y. . . . . An interval‐valued exceedance method in MCDM with uncertain satisfactions. . . . variables. . . . . . . 5. . . . . . . . . . . . . . . Combine Conflicting Evidence Based on the Belief Entropy and IOWA Operator. . . 1. . . (2011). . . . . . On the basis of this idea, the corresponding probability distribution can be obtained and could reflect the original information of the given BPA to the maximum extent. . Annals of Statistics 22, 1115-1132. . . . . . . On the jump activity index for semi-martingales. . %PDF-1.2 %���� . A novel discrete evidence fusion approach by considering the consistency of belief structures. . con�dence intervals and Berry-Esseen theorems for Edgeworth . . . . . Emergency alternative evaluation under group decision makers: a new method based on entropy weight and DEMATEL. A Novel Sensor Dynamic Reliability Evaluation Method and its Application in Multi-Sensor Information Fusion. and Zhou, W. (2004). . . . . . give way. . . One of the key issues in this theory is how to make decision based on a basic probability assignment (BPA). Annals of Probability, 27, 2068-2088. An Emergency Decision-Making Method for Probabilistic Linguistic Term Sets Extended by D Number Theory. Fisher, N., Hall, P., Jing, B.-Y. . . . . . Improved pivotal methods for . 0000001838 00000 n . . . . An Attitudinal Nonlinear Integral and Applications in Decision Making. . Self-normalized Cramer-type . Wang, Q.Y. 0000009118 00000 n (1999). A novel dynamic weight allocation method for multisource information fusion, International Journal of Intelligent Systems. International Journal of Systems Science. . . . . . . . . . . . . More details about the reading project can be found in the Guide to Reading Project. . . . . . Generating random variables with prescribed distributions. 0000000593 00000 n Jing, B.-Y. . . . . . . . . Jing, B.Y., Li, Z.P., Pan, G.M., Zhou W. (2016). . . . . . . Enter your email address below and we will send you your username, If the address matches an existing account you will receive an email with instructions to retrieve your username, I have read and accept the Wiley Online Library Terms and Conditions of Use. . . . . . By Prof. Niladri Chatterjee | IIT Delhi The course introduces the concept of probability through Kolmogorov’s Axioms. . . . Biometrika, 82, 561-74. . . . (1994). Estimating the jump activity (2003). . 2. . . . . . . Lecture time and location: TuThu 12-1:20, Wean 4623. . . .             2010-present          Science in . . Student's t-statistic with no moment conditions. . . China,                   and services, please consent to our updated Privacy Policy. . On blocking rules for the bootstrap and dependent data. MATH 5431: Advanced Mathematical Statistics I Course outline Instructor: Bing-Yi JING [email protected], 2358 7458. . . Reading Project: 10% of your total grade will be based on a reading project. . Annals of Statistics, 32, 2679{2711. . . . x��T�rA����y�V����4$�Uy܂1YY\R����s�U2C,����>}�����)����$6Hs��0�����rI`>A���yvS��� �9�C. and Zhang, Z. . . . . . . . At the end of semester, you will write a three-page reading summary. . . .  2012-present               . (1994). . σ-fields, measures, probabilities, extension and uniqueness of probabilities. . . . . . Jing, B.-Y., Kong, X.B., Liu, Z. . . Hall, P. and Jing, B.-Y. . . . Negation of Basic Probability Assignment: Trends of Dissimilarity and Dispersion. . . . . . ADVANCED PROBABILITY THEORY Second Edition, Revised and Expanded JANOS GALAMBOS Temple University Philadelphia, Pennsylvania Marcel Dekker, Inc. New York*Basel• Hong Kong . . . . . . Jing, B.-Y., Kong, X.B., Liu, Z. (2012). In this paper, a novel method about the probability transformation based on a correlation coefficient of belief functions is proposed. Advanced Probability Theory 4 lectures. . Journal of the American Statistical Association, 104, 1124-1232. (2003). . . and Zhou, W. (2009). . . for marginal and conditional probabilities of transformed Authors: Borkar, Vivek S. Free Preview. 21. Jing, B.-Y., Feuerverger, A. and Robinson, J. Email: darenw [at] andrew [dot] cmu [dot] edu, Office hours: Wednesday 4-5 location TBD. . . . . 2.10.6 Further decomposition of a continuous d.f. . . . . . . . . D-ANP: a multiple criteria decision making method for supplier selection. . . 15. . . . . . .         Canadian Journal of Statistics,   . Probability, Theory and Examples, 4th Ed., by R. Durrett. . Annals of Probability, 37, 2174-2199. . . Journal of Royal Statistical Society, Series B, 58, 727-737. . Mostly, the proofs will . . . All of the challenging new material in this course will involve limiting operations (epsilon-delta, subsequences, etc). . . . . . . Annals of Statistics, 24, 365-369. . . . . . . . Integration and limits, convergence theorems, Radon-Nikodym derivatives. . . . . . . . . . , v. 136, (4), 2006, DEC, p. 541-559 Year: 2006 Estimation by method of moment under two-sample location-scale model with random censorship . . . . . .    2010-present . . . and Robinson, J. . . . . . . . . . If you have questions, corrections or suggestions for improvements in the text, please let me know. . . . . . . . Jing, B.-Y. . Advanced Probability Theory. . . . . . But we will try to prove some of the most important theorems when . . Annals of Probability, 31, 2167-2215. . . . . The correlation coefficient is a new measurement, which can effectively measure the correlation between BPAs. Journal of the American Statistical Association, 91, 1062-1070. . . . . Currently, a feasible scheme is transforming a BPA to a distribution of probabilities. .