Safe leads and lead changes in competitive team sports.

@article{Clauset2015SafeLA,
  title={Safe leads and lead changes in competitive team sports.},
  author={Aaron Clauset and M Kogan and Sidney Redner},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  year={2015},
  volume={91 6},
  pages={
          062815
        }
}
We investigate the time evolution of lead changes within individual games of competitive team sports. Exploiting ideas from the theory of random walks, the number of lead changes within a single game follows a Gaussian distribution. We show that the probability that the last lead change and the time of the largest lead size are governed by the same arcsine law, a bimodal distribution that diverges at the start and at the end of the game. We also determine the probability that a given lead is… 

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References

SHOWING 1-10 OF 52 REFERENCES

Random Walk Picture of Basketball Scoring

We present evidence, based on play-by-play data from all 6087 games from the 2006/07– 2009/10 seasons of the National Basketball Association (NBA), that basketball scoring is well described by a

Environmental structure and competitive scoring advantages in team competitions

This work applies a novel generative model of scoring dynamics to roughly 10 million team competitions drawn from an online game to quantify the relationship between the structure within a competition and its scoring dynamics, while controlling the impact of chance.

A Brownian Motion Model for the Progress of Sports Scores

Abstract The difference between the home and visiting teams' scores in a sports contest is modeled as a Brownian motion process defined on t ∈ (0, 1), with drift μ points in favor of the home team

Scoring dynamics across professional team sports: tempo, balance and predictability

Using a comprehensive data set of scoring events in nearly a dozen consecutive seasons of college and professional (American) football, professional hockey, and professional basketball, several common patterns in scoring dynamics are identified.

Lessons from Sports Statistics

Abstract The author reviews and comments on his work in sports statistics, illustrating with problems of estimation in baseball's World Series and with a model for the distribution of the number of

Inter-arrival Times of Goals in Ice Hockey

Previous studies have attempted to model goal scoring in sports such as ice hockey as simple Poisson processes. Others (Thomas, 2006) have shown that events within the game of ice hockey are better

Inter-arrival Times of Goals in Ice Hockey

It is demonstrated that a similarly defined Semi-Markov process model is well-suited to describe the times between goals scored in NHL hockey, and it is shown that the scoring of a goal has the effect of shortening the remainder of the game by roughly 20 seconds.

Understanding baseball team standings and streaks

Can one understand the statistics of wins and losses of baseball teams? Are their consecutive-game winning and losing streaks self-reinforcing or can they be described statistically? We apply the

Anomalous diffusion and long-range correlations in the score evolution of the game of cricket.

Analysis of the time evolution of the scores of the game of cricket suggests that competition among agents may be a mechanism leading to anomalous diffusion and long-range correlation.

Space–time coordination dynamics in basketball: Part 2. The interaction between the two teams

Analysis of the space–time coordination dynamics of two basketball teams during competition demonstrated in-phase stabilities in both the longitudinal and lateral directions, with more stability in the longitudinal than lateral direction.
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