000 01967cam a2200265 i 4500
008 101217t20112011nju b 001 0 eng
020 _a9780470688199
040 _aSDU
050 0 0 _aQA276
_bN576 D 2011
100 1 _aNg, Kai Wang,
_9193212
245 1 0 _aDirichlet and Related Distributions :
_bTheory, Methods and Applications /
_cKai Wang Ng, Guo-Liang Tian, Man-Lai Tang.
260 _aHoboken, N.J. :
_bWiley,
_c2011.
300 _a310 p.
490 0 _aWiley series in probability and statistics
505 _aHKBU library
518 _aYT2025 M10
520 _a"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"--
650 0 _aDistribution (Probability theory)
650 0 _aDirichlet problem.
_9193214
650 7 _aMATHEMATICS / Probability & Statistics / General
700 1 _aTian, Guo-Liang,
_eauthor.
_9193216
700 1 _aTang, Man-Lai,
_eauthor.
_9193217
900 _a= C.1 SDU
942 _cGBE
_2lcc
999 _c103991
_d103991