A stochastic approach to predicting competition squash match‐play

References

• Alain , C. and Sarrazin , C. 1990 . Study of decision‐making in squash competition: A computer simulation approach . Canadian Journal of Sport Sciences , 15 : 193 – 200 .
   PubMedGoogle Scholar
• Clarke , S.R. 1979 . Tie point strategy in American and International squash and badminton . Research Quarterly , 50 : 729 – 734 .
   Web of Science ®Google Scholar
• Clarke , S.R. and Norman , J.M. 1979 . Comparison of North American and International squash scoring system ‐analytic results . Research Quarterly , 50 : 723 – 728 .
   Web of Science ®Google Scholar
• Croucher , J.S. 1986 . The conditional probability of winning games in tennis . Research Quarterly for Exercise and Sport , 57 : 23 – 26 .
   Web of Science ®Google Scholar
• Eom , H.J. and Schutz , R.W. 1992 . Transition play in team performance of volleyball: A log‐linear analysis . Research Quarterly for Exercise and Sport , 63 : 261 – 269 .
   PubMed Web of Science ®Google Scholar
• Fleiss , J.L. 1981 . Statistical Methods for Rates and Proportion , 2nd edn. , New York : John Wiley .
   Google Scholar
• Hannan , E.L. 1976 . “ An analysis of different serving strategies in tennis ” . In Management Science in Sports , Edited by: Machol , R.E. , Ladany , S.P. and Morrison , D.G. Vol. 4 , 125 – 135 . Amsterdam : North‐Holland .
   Google Scholar
• Hughes , M.D. and McGarry , T. The development of three dimensional graphics to illustrate data presentation from a computerised notational analysis of squash . Paper presented at the 9th Eurographics UK Conference . April , Sheffield.
   Google Scholar
• Hughes , M.D. , Franks , I.M. and Nagelkerke , P. 1989 . A video‐system for the quantitative motion analysis of athletes in competitive sport . Journal of Human Movement Studies , 17 : 217 – 227 .
   Google Scholar
• Morris , C. 1977 . “ The most important point in tennis ” . In Optimal Strategies in Sports , Edited by: Ladany , S.P. and Machol , R.E. Vol. 5 , 131 – 140 . Amsterdam : North‐Holland .
   Google Scholar
• Naumienko , E.Z. and Naumienko , B.J. 1986 . Simulations of behavior in competitive situations . Simulations and Games , 17 : 301 – 319 .
   Google Scholar
• Norman , J.M. 1985 . Dynamic programming in tennis ‐ when to use a fast serve . Journal of the Operational Research Society , 36 : 75 – 77 .
   Web of Science ®Google Scholar
• Pollard , G.H. 1985 . A statistical investigation of squash . Research Quarterly for Exercise and Sport , 56 : 144 – 150 .
   Web of Science ®Google Scholar
• Pollard , G.H. 1987 . A new tennis scoring system . Research Quarterly for Exercise and Sport , 58 : 229 – 233 .
   Web of Science ®Google Scholar
• Renick , J. 1976 . Optimal strategy at decision points in singles squash . Research Quarterly , 47 : 562 – 568 .
   PubMed Web of Science ®Google Scholar
• Renick , J. 1977 . Tie point strategy in badminton and International squash . Research Quarterly , 48 : 492 – 498 .
   PubMed Web of Science ®Google Scholar
• Sanderson , F.H. and Way , K.I.M. 1977 . The development of an objective method of game analysis in squash rackets . British Journal of Sports Medicine , 11 : 188
   PubMedGoogle Scholar
• Sarrazin , C. , Lacombe , D. , Alain , C. and Joly , J. 1983 . Simulation study of a decision‐making model of squash competition. Phase One: The analysis of the protocol . Human Movement Science , 4 : 279 – 306 .
   Web of Science ®Google Scholar
• Sarrazin , C. , Alain , C. and Lacombe , D. 1986 . Simulation study of a decision‐making model of squash competition. Phase Two: Testing the model through the use of computer simulation . Human Movement Science , 5 : 373 – 391 .
   Web of Science ®Google Scholar
• Schutz , R.W. 1970a . Stochastic processes: Their nature and use in the study of sport and physical activity . Research Quarterly , 41 : 205 – 213 .
   PubMed Web of Science ®Google Scholar
• Schutz , R.W. 1970b . A mathematical model for evaluating scoring systems with specific reference to tennis . Research Quarterly , 41 : 552 – 561 .
   PubMed Web of Science ®Google Scholar
• Schutz , R.W. 1980 . Sport and mathematics: A definition and delineation . Research Quarterly for Exercise and Sport , 51 : 37 – 49 .
   PubMed Web of Science ®Google Scholar
• Schutz , R.W. and Kinsey , W.J. 1977 . Comparison of North American and International squash scoring systems — a computer simulation . Research Quarterly , 48 : 248 – 251 .
   PubMed Web of Science ®Google Scholar
• Stanislaw , H. 1986 . Test of computer validity: What do they measure? . Simulation and Games , 17 : 173 – 191 .
   Web of Science ®Google Scholar
• Watson , D.W. 1970 . On scoring in games . Mathematical Gazette , 54 : 110 – 113 .
   Google Scholar
• Wright , M.B. 1988 . Probabilities and decision rules for the game of squash rackets . Journal of the Operational Research Society , 39 : 91 – 99 .
   Web of Science ®Google Scholar
• To whom all correspondence should be addressed.
   Google Scholar