论文信息 - Validity of fitting a first-order Markov chain model to data

Validity of fitting a first-order Markov chain model to data

Summary. The paper describes a way of testing whether, given a sequence of data, there is a Markov chain of first order that is a likely model to fit it. The test, which was suggested by geometry, is applied to a sequence of moderate length of sporting data, for which a Markov model had once been claimed.

M. H. Eggar | M. Eggar

[1] Sarah Bendall,et al. 85.12 Markov chains in cricket revisited , 2001 .

[2] A. Pettitt. A Non‐Parametric Approach to the Change‐Point Problem , 1979 .

[3] M. Kendall,et al. The advanced theory of statistics , 1945 .

[4] J. R. Gillett,et al. 75.7 A Markov Chain in Cricket (MCC , 1991 .

[5] M. Bartlett. The frequency goodness of fit test for probability chains , 1951, Mathematical Proceedings of the Cambridge Philosophical Society.

[6] Robin Wilson,et al. Graphs an Introductory Approach , 1990, The Mathematical Gazette.

[7] Daniel A. Henderson,et al. Fitting Markov chain models to discrete state series such as DNA sequences , 1999 .

[8] Stephen E. Fienberg,et al. Discrete Multivariate Analysis: Theory and Practice , 1976 .

[9] Paul G. Hoel,et al. A TEST FOR MARKOFF CHAINS , 1954 .

[10] Chris Chatfield,et al. The Analysis of Time Series , 1990 .

[11] Chris Chatfield,et al. The Analysis of Time Series: An Introduction , 1981 .