From f7f2bb747debc62aa36803858a71c920fb02822a Mon Sep 17 00:00:00 2001 From: "Benjamin T. Vincent" Date: Wed, 4 Apr 2018 23:09:13 +0200 Subject: [PATCH] #210 updated docs --- docs/ref/discount_functions.md | 10 ++++++++++ 1 file changed, 10 insertions(+) diff --git a/docs/ref/discount_functions.md b/docs/ref/discount_functions.md index 4639d32a..d2c99331 100644 --- a/docs/ref/discount_functions.md +++ b/docs/ref/discount_functions.md @@ -12,6 +12,7 @@ The 'data generating process' describes the response probability. This consists | Hyperbolic | `1/(1+k*D)` | `*LogK` | `logk` | | Hyperbolic (with magnitude effect) | `1/(1+[exp(m*log(R)+c)]*D)` | `*ME` | `m, c` | | Hyperboloid | `1/[(1+k*D)^S]` | `*Hyperboloid` | `logk, S` | +| HyperboloidB | `1/[1+k*(D^S)]` | `*HyperboloidB` | `logk, S` | | Beta Delta | `beta*delta^D` | `*BetaDelta` | `beta, delta` | In the equations, `D` = delay, and `R` = reward. @@ -59,6 +60,15 @@ Hyperboloid discounting, of the form `1/[(1+kD)^S]`. This is equivalent to expon | `ModelMixedHyperboloid` | - | `logk `, `S`, `alpha`, `epsilon` | `alpha`, `epsilon` | | `ModelHierarchicalHyperboloid` | - | `logk `, `S`, `alpha`, `epsilon` | `logk `, `S`, `alpha`, `epsilon`| +## HyperboloidB +Hyperboloid discounting, of the form `1/[1+k(D^S)]`. + +| Model name | Fixed Effects | Random Effects (by-participant) | Hyper-priors (thus shrinkage to group mean) | +| :--- | :---: | :---: | :---: | +| `ModelSeparateHyperboloidB` | - | `logk`, `S`, `alpha`, `epsilon` | - | +| `ModelMixedHyperboloidB` | - | `logk `, `S`, `alpha`, `epsilon` | `alpha`, `epsilon` | +| `ModelHierarchicalHyperboloidB` | - | `logk `, `S`, `alpha`, `epsilon` | `logk `, `S`, `alpha`, `epsilon`| + ## Beta-Delta The discount factor is `beta*delta^D`, see (Laibson, 1997).