1 The Mathematics and Statistics of Animal Movement

1.1 Mathematics

1.1.1 Discrete-time random walks

1.1.2 Correlated random walks

1.1.3 Brownian motion

1.1.4 Ornstein-Ulenbeck (OU) process

1.1.5 Stochastic differential equations

1.1.6 Integrated SDEs

1.1.7 Continuous-time CRW

1.2 Statistics

1.2.1 Maximum likelihood inference

1.2.2 Bayesian inference

1.2.3 State-space models

1.2.4 Kalman filter/smoother (KFS)

1.2.5 Practical Bayesian inference

1.2.6 Process imputation