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Copula-Based Markov Models for Time Series

Parametric Inference and Process Control

  • Book
  • © 2020

Overview

  • Serves as introductory textbook on the analysis of time series data for students majoring in statistics and related fields
  • Includes numerous real-world data examples as well as R codes for implementation
  • Discusses times series data, from basic theories to real-world applications

Part of the book series: SpringerBriefs in Statistics (BRIEFSSTATIST)

Part of the book sub series: JSS Research Series in Statistics (JSSRES)

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Table of contents (7 chapters)

Keywords

About this book

This book provides statistical methodologies for time series data, focusing on copula-based Markov chain models for serially correlated time series. It also includes data examples from economics, engineering, finance, sport and other disciplines to illustrate the methods presented. An accessible textbook for students in the fields of economics, management, mathematics, statistics, and related fields wanting to gain insights into the statistical analysis of time series data using copulas, the book also features stand-alone chapters to appeal to researchers.

As the subtitle suggests, the book highlights parametric models based on normal distribution, t-distribution, normal mixture distribution, Poisson distribution, and others. Presenting likelihood-based methods as the main statistical tools for fitting the models, the book details the development of computing techniques to find the maximum likelihood estimator. It also addresses statistical process control, as well as Bayesian and regression methods. Lastly, to help readers analyze their data, it provides computer codes (R codes) for most of the statistical methods.

Authors and Affiliations

  • Graduate Inst. of Statistics, National Central University, Taoyuan, Taiwan

    Li-Hsien Sun

  • National Chiao Tung University, Hsinchu, Taiwan

    Xin-Wei Huang

  • Qassim University, Unayzah, Saudi Arabia

    Mohammed S. Alqawba

  • Division of Science and Math, Uniersity of Minnesota at Morris, MORRIS, USA

    Jong-Min Kim

  • Chang Gung University, Taoyuan, Taiwan

    Takeshi Emura

About the authors





Li-Hsien Sun,  National Central University


Xin-Wei Huang, National Chiao Tung University



Mohammed S. Alqawba, Qassim University



Jong-Min Kim, University of Minnesota at Morris



Takeshi Emura, Chang Gung University


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