عنوان

Partitions, hypergeometric systems, and Dirichlet processes in statistics /

شابک

4431558861

شابک

443155887X

شابک

4431558888

شابک

9784431558866

شابک

9784431558873

شابک

9784431558880

شابک اشتباه

9784431558866

عنوان اصلي

Partitions, hypergeometric systems, and Dirichlet processes in statistics /

نام عام مواد

[Book]

نام نخستين پديدآور

Shuhei Mano.

محل نشرو پخش و غیره

Tokyo :

نام ناشر، پخش کننده و غيره

Springer,

تاریخ نشرو بخش و غیره

[2018]

نام خاص و کميت اثر

1 online resource

عنوان فروست

SpringerBriefs in statistics

متن يادداشت

Chapter 1. Introduction -- Chapter 2. Random combinatorial models -- Chapter 3. Statistical inferences -- Chapter 4. Examples.

بدون عنوان

0

متن يادداشت

This book focuses on statistical inferences related to various combinatorial stochastic processes. Specifically, it discusses the intersection of three subjects that are generally studied independently of each other: partitions, hypergeometric systems, and Dirichlet processes. The Gibbs partition is a family of measures on integer partition, and several prior processes, such as the Dirichlet process, naturally appear in connection with infinite exchangeable Gibbs partitions. Examples include the distribution on a contingency table with fixed marginal sums and the conditional distribution of Gibbs partition given the length. The A-hypergeometric distribution is a class of discrete exponential families and appears as the conditional distribution of a multinomial sample from log-affine models. The normalizing constant is the A-hypergeometric polynomial, which is a solution of a system of linear differential equations of multiple variables determined by a matrix A, called A-hypergeometric system. The book presents inference methods based on the algebraic nature of the A-hypergeometric system, and introduces the holonomic gradient methods, which numerically solve holonomic systems without combinatorial enumeration, to compute the normalizing constant. Furher, it discusses Markov chain Monte Carlo and direct samplers from A-hypergeometric distribution, as well as the maximum likelihood estimation of the A-hypergeometric distribution of two-row matrix using properties of polytopes and information geometry. The topics discussed are simple problems, but the interdisciplinary approach of this book appeals to a wide audience with an interest in statistical inference on combinatorial stochastic processes, including statisticians who are developing statistical theories and methodologies, mathematicians wanting to discover applications of their theoretical results, and researchers working in various fields of data sciences.

منبع سفارش / آدرس اشتراک

Springer Nature

شماره انبار

com.springer.onix.9784431558880

شماره استاندارد بين المللي کتاب و موسيقي

9784431558866

موضوع مستند نشده

Dirichlet forms.

موضوع مستند نشده

Hypergeometric functions.

موضوع مستند نشده

Mathematical statistics.

موضوع مستند نشده

Partitions (Mathematics)

موضوع مستند نشده

Dirichlet forms.

موضوع مستند نشده

Hypergeometric functions.

موضوع مستند نشده

Mathematical & statistical software.

موضوع مستند نشده

Mathematical statistics.

موضوع مستند نشده

MATHEMATICS-- Applied.

موضوع مستند نشده

MATHEMATICS-- Probability & Statistics-- General.

موضوع مستند نشده

Partitions (Mathematics)

موضوع مستند نشده

Probability & statistics.

موضوع مستند نشده

MAT-- 003000

موضوع مستند نشده

MAT-- 029000

موضوع مستند نشده

PBT

موضوع مستند نشده

PBT

شماره

ويراست

شماره رده

نشانه اثر

مستند نام اشخاص تاييد نشده

Mano, Shuhei

تاريخ عمليات

20200823200107.0

قواعد فهرست نويسي ( بخش توصيفي )

pn

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y