Stan Functions Reference
Overview
Built-In Functions
1 Void Functions
- 1.1 Print statement
- 1.2 Reject statement
2 Integer-Valued Basic Functions
3 Real-Valued Basic Functions
4 Complex-Valued Basic Functions
5 Array Operations
6 Matrix Operations
7 Sparse Matrix Operations
8 Mixed Operations
9 Compound Arithmetic and Assignment
10 Higher-Order Functions
11 Deprecated Functions
- 11.1 integrate_ode_rk45, integrate_ode_adams, integrate_ode_bdf ODE integrators
12 Conventions for Probability Functions
Discrete Distributions
13 Binary Distributions
14 Bounded Discrete Distributions
15 Unbounded Discrete Distributions
16 Multivariate Discrete Distributions
- 16.1 Multinomial distribution
- 16.2 Multinomial distribution, logit parameterization
Continuous Distributions
17 Unbounded Continuous Distributions
18 Positive Continuous Distributions
19 Positive Lower-Bounded Distributions
20 Continuous Distributions on [0, 1]
- 20.1 Beta distribution
- 20.2 Beta proportion distribution
21 Circular Distributions
- 21.1 Von Mises distribution
22 Bounded Continuous Distributions
- 22.1 Uniform distribution
23 Distributions over Unbounded Vectors
24 Simplex Distributions
- 24.1 Dirichlet distribution
25 Correlation Matrix Distributions
- 25.1 LKJ correlation distribution
- 25.2 Cholesky LKJ correlation distribution
26 Covariance Matrix Distributions
- 26.1 Wishart distribution
- 26.2 Inverse Wishart distribution
Additional Distributions
27 Hidden Markov Models
- 27.1 Stan functions
Appendix
28 Mathematical Functions
References

Stan Functions Reference

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28 Mathematical Functions

This appendix provides the definition of several mathematical functions used throughout the manual.

Beta
Incomplete Beta
Gamma
Digamma