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 Array Operations
5 Matrix Operations
6 Sparse Matrix Operations
7 Mixed Operations
8 Compound Arithmetic and Assignment
9 Higher-Order Functions
10 Deprecated Functions
- 10.1 integrate_ode_rk45, integrate_ode_adams, integrate_ode_bdf ODE integrators
11 Conventions for Probability Functions
Discrete Distributions
12 Binary Distributions
13 Bounded Discrete Distributions
14 Unbounded Discrete Distributions
15 Multivariate Discrete Distributions
- 15.1 Multinomial distribution
- 15.2 Multinomial distribution, logit parameterization
Continuous Distributions
16 Unbounded Continuous Distributions
17 Positive Continuous Distributions
18 Positive Lower-Bounded Distributions
19 Continuous Distributions on [0, 1]
- 19.1 Beta distribution
- 19.2 Beta proportion distribution
20 Circular Distributions
- 20.1 Von Mises distribution
21 Bounded Continuous Distributions
- 21.1 Uniform distribution
22 Distributions over Unbounded Vectors
23 Simplex Distributions
- 23.1 Dirichlet distribution
24 Correlation Matrix Distributions
- 24.1 LKJ correlation distribution
- 24.2 Cholesky LKJ correlation distribution
25 Covariance Matrix Distributions
- 25.1 Wishart distribution
- 25.2 Inverse Wishart distribution
Additional Distributions
26 Hidden Markov Models
- 26.1 Stan functions
Appendix
27 Mathematical Functions
References

Stan Functions Reference

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27 Mathematical Functions

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

Beta
Incomplete Beta
Gamma
Digamma