// multi-utility computation suite · offline · instant · precise
┌──────────────────────────┐
│ [c] calcalyst_ │
│ computation suite │
└──────────────────────────┘
// select a module to initialize
/ search↵ open firstesc close
// adsenseEMPTY_LEADER_SLOT728×90
// keyboard shortcuts
/focus search
Escclear search · close calc
Enteropen first result
↑↓navigate list
?toggle this panel
// adsenseMOBILE_ANCHOR_SLOT320×50
// keyboard_shortcuts
/focus search
↑↓navigate module list
Enter
open first result from search
open highlighted
compute when module is open
compute when focused in a field
Escclose module · clear selection
⌫
math.bayesian-update-beta Calculator
Updates a Beta distribution prior with observed successes and failures to compute the posterior Beta distribution parameters and posterior mean. Beta-Bernoulli updating is the canonical Bayesian conjugate model — used in A/B testing, click-through rate estimation, and reliability analysis.
Inputs
Prior Alpha
Reference formula or conversion factor shown for context.
Prior Beta
Reference formula or conversion factor shown for context.
Observed Successes
Reference formula or conversion factor shown for context.
Observed Failures
Reference formula or conversion factor shown for context.
Results
posterior mean
Arithmetic average — sum divided by count. Simple and familiar, but pulled by outliers. If your data contains extreme values, the median may be more representative.
posterior mode
The most frequently occurring value.
posterior std deviation
Standard deviation -- the average spread of values around the mean. In a normal distribution: 68% within 1 SD, 95% within 2 SD.
posterior Beta(α, β)
Reference formula or conversion factor shown for context.