Skip to main content
  • Book
  • © 2020

Copula-Based Markov Models for Time Series

Parametric Inference and Process Control

  • 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)

Buy it now

Buying options

eBook USD 49.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 64.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

This is a preview of subscription content, log in via an institution to check for access.

Table of contents (7 chapters)

  1. Front Matter

    Pages i-xvi
  2. Overview of the Book with Data Examples

    • Li-Hsien Sun, Xin-Wei Huang, Mohammed S. Alqawba, Jong-Min Kim, Takeshi Emura
    Pages 1-6
  3. Copula and Markov Models

    • Li-Hsien Sun, Xin-Wei Huang, Mohammed S. Alqawba, Jong-Min Kim, Takeshi Emura
    Pages 7-28
  4. Estimation, Model Diagnosis, and Process Control Under the Normal Model

    • Li-Hsien Sun, Xin-Wei Huang, Mohammed S. Alqawba, Jong-Min Kim, Takeshi Emura
    Pages 29-53
  5. Estimation Under Normal Mixture Models for Financial Time Series Data

    • Li-Hsien Sun, Xin-Wei Huang, Mohammed S. Alqawba, Jong-Min Kim, Takeshi Emura
    Pages 55-72
  6. Bayesian Estimation Under the t-Distribution for Financial Time Series

    • Li-Hsien Sun, Xin-Wei Huang, Mohammed S. Alqawba, Jong-Min Kim, Takeshi Emura
    Pages 73-86
  7. Control Charts of Mean by Using Copula Markov SPC and Conditional Distribution by Copula

    • Li-Hsien Sun, Xin-Wei Huang, Mohammed S. Alqawba, Jong-Min Kim, Takeshi Emura
    Pages 87-99
  8. Copula Markov Models for Count Series with Excess Zeros

    • Li-Hsien Sun, Xin-Wei Huang, Mohammed S. Alqawba, Jong-Min Kim, Takeshi Emura
    Pages 101-127
  9. Back Matter

    Pages 129-131

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


Bibliographic Information

Buy it now

Buying options

eBook USD 49.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 64.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access