01967cam a2200265 i 4500 101217t20112011nju b 001 0 eng 9780470688199 SDU QA276 N576 D 2011 Ng, Kai Wang, 193212 Dirichlet and Related Distributions : Theory, Methods and Applications / Kai Wang Ng, Guo-Liang Tian, Man-Lai Tang. Hoboken, N.J. : Wiley, 2011. 310 p. Wiley series in probability and statistics HKBU library YT2025 M10 "This book provides a comprehensive review on the Dirichlet distribution including its basic properties, marginal and conditional distributions, cumulative distribution and survival functions. The authors provide insight into new materials such as survival function, characteristic functions for two uniform distributions over the hyper-plane and simplex distribution for linear function of Dirichlet components estimation via the expectation-maximization gradient algorithm and application. Two new families of distributions (GDD and NDD) are explored, with emphasis on applications in incomplete categorical data and survey data with non-response. Theoretical results on inverted Dirichlet distribution and its applications are featured along with new results that deal with truncated Dirichlet distribution, Dirichlet process and smoothed Dirichlet distribution. The final chapters look at results gathered for Dirichlet-multinomial distribution, Generalized Dirichlet distribution, Liouville distribution, generalized Liouville distribution and matrix-variate Dirichlet distribution"-- Distribution (Probability theory) Dirichlet problem. 193214 MATHEMATICS / Probability & Statistics / General Tian, Guo-Liang, author. 193216 Tang, Man-Lai, author. 193217 = C.1 SDU GBE lcc 103991 103991 0 0 lcc 0 QA0276 N576 D2011 0 CGB 284067 SDU SDU GEN3 2025-10-07 2 0 QA276 N576 D 2011 1000377990 2025-10-07 00:00:00 C.1 2025-10-07 GBE