02481nmm a2200325 u 4500001001200000003002700012005001700039007002400056008004100080020001800121100003100139245015400170250001700324260005300341300006200394505045700456653003500913653001700948653002300965653002300988653001801011700002701029700003101056041001901087989003601106490003801142856007201180082000801252520089501260EB001956974EBX0100000000000000111987600000000000000.0cr|||||||||||||||||||||210208 ||| eng a97898115966361 aHoshino, Nobuakie[editor]00aPioneering Works on Distribution TheoryhElektronische RessourcebIn Honor of Masaaki Sibuyacedited by Nobuaki Hoshino, Shuhei Mano, Takaaki Shimura a1st ed. 2020 aSingaporebSpringer Nature Singaporec2020, 2020 aVII, 121 p. 22 illus., 1 illus. in colorbonline resource0 aGibbs Base Random Partitions -- Asymptotic and approximate discrete distributions for length of Ewens sampling formula -- An Error Bound for the Normal Approximation to the Length of a Ewens Partition -- Distribution of Number of Levels in [s]-specified Random Permutation -- Properties of General Systems of Orthogonal Polynomials with Symmetric Matrix Argument -- Conjugate Analysis under Jeffreys' Prior with its Implications to Likelihood Inference aStatistical Theory and Methods aStatisticsĀ aProbability Theory aApplied Statistics aProbabilities1 aMano, Shuheie[editor]1 aShimura, Takaakie[editor]07aeng2ISO 639-2 bSpringeraSpringer eBooks 2005-0 aJSS Research Series in Statistics40uhttps://doi.org/10.1007/978-981-15-9663-6?nosfx=yxVerlag3Volltext0 a519 aThis book highlights the forefront of research on statistical distribution theory, with a focus on unconventional random quantities, and on phenomena such as random partitioning. The respective papers reflect the continuing appeal of distribution theory and the lively interest in this classic field, which owes much of its expansion since the 1960s to Professor Masaaki Sibuya, to whom this book is dedicated. The topics addressed include a test procedure for discriminating the (multivariate) Ewens distribution from the Pitman Sampling Formula, approximation to the length of the Ewens distribution by discrete distributions and the normal distribution, and the distribution of the number of levels in [s]-specified random permutations. Also included are distributions associated with orthogonal polynomials with a symmetric matrix argument and the characterization of the Jeffreys prior