The Problem of Shot Selection in Basketball

@article{Skinner2012ThePO,
  title={The Problem of Shot Selection in Basketball},
  author={Brian Skinner},
  journal={PLoS ONE},
  year={2012},
  volume={7}
}
In basketball, every time the offense produces a shot opportunity the player with the ball must decide whether the shot is worth taking. In this article, I explore the question of when a team should shoot and when they should pass up the shot by considering a simple theoretical model of the shot selection process, in which the quality of shot opportunities generated by the offense is assumed to fall randomly within a uniform distribution. Within this model I derive an answer to the question… 

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References

SHOWING 1-10 OF 24 REFERENCES

The hot hand in basketball: On the misperception of random sequences

Generality of the matching law as a descriptor of shot selection in basketball.

TLDR
Shot-selection matching varied systematically for players who were members of successful versus unsuccessful teams, competed at different levels of collegiate play, and served as regulars versus substitutes, suggesting that the matching law is a robust descriptor of basketball shot selection, although the mechanism that produces matching is unknown.

The Price of Anarchy in Basketball

Optimizing the performance of a basketball offense may be viewed as a network problem, wherein each play represents a “pathway" through which the ball and players may move from origin (the in-bounds

The hot hand exists in volleyball and is used for allocation decisions.

TLDR
It is concluded that for volleyball the hot hand exists, coaches and playmaker are able to detect it, and playmakers tend to use it "adaptively," which results in more hits for a team.

Allocative and Dynamic Efficiency in NBA Decision Making

This paper examines the optimality of the shooting decisions of National Basketball Association (NBA) players using a rich data set of shot outcomes. The decision to shoot is a complex problem that

A Starting Point for Analyzing Basketball Statistics

TLDR
The aim of this paper is to bring to a peer-reviewed journal the generally accepted basics of the analysis of basketball, thereby providing a common starting point for future research in basketball.

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

Basketball on Paper: Rules and Tools for Performance Analysis

Journey "inside the numbers" for an exceptional set of statistical tools and rules that can help explain the winning, or losing, ways of a basketball team. Basketball on Paper doesn't diagram plays

Reinforcement learning in professional basketball players

TLDR
Using the sequences of field goal attempts made by professional basketball players, it is shown that the outcome of even a single field goal attempt has a considerable effect on the rate of subsequent 3 point shot attempts, in line with standard models of reinforcement learning.

Quantifying the Performance of Individual Players in a Team Activity

TLDR
A network approach is developed that provides a powerful quantification of the contributions of individual players and of overall team performance in the European Cup 2008 soccer tournament.