Description
Return conditionalMass=mass/retainedMass, requiring zero through one for both inputs, positive retainedMass, and mass no greater than retainedMass.
Event probabilities and probability masses lie between zero and one. Marginals, intersections, conditioning events, and endpoint atoms describe different quantities. A probability bound or local consistency check can constrain a model without specifying its complete distribution or dependence structure.
Return conditionalMass=mass/retainedMass, requiring zero through one for both inputs, positive retainedMass, and mass no greater than retainedMass.
When to use this tool
Use Truncated Discrete Mass Renormalization Term when you need the stated event identity, boundary policy, distribution component, or local feasibility check.
How to use the tool and how it works
- Enter mass, retainedMass. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read conditionalMass. Use the output convention below.
Return conditionalMass=mass/retainedMass, requiring zero through one for both inputs, positive retainedMass, and mass no greater than retainedMass.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| mass | Mass in a consistent unit for the stated model. | Required. Finite number; minimum 0; maximum 1. |
| retainedMass | Retained Mass | Required. Finite number; minimum 0; maximum 1; strictly above 0. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| conditionalMass | Conditional Mass | Required. Finite number. |
{
"input": {
"mass": 0.2,
"retainedMass": 0.5
},
"output": {
"conditionalMass": 0.4
}
}Limitations and assumptions
- The event must belong to the retained support for this conditional interpretation. No support membership or full distribution is checked.
- Inputs must satisfy both the field types and the cross-field conditions above. Invalid input causes an error; a successful false flag or documented placeholder is a different result.
- Numeric calculations use binary floating point unless exact decimal-integer arithmetic is explicitly stated. No hidden measurement tolerance or decimal rounding is added; nonfinite or out-of-contract results are rejected. Signed zero is exported as zero.
Alternative or Complementary methods
Use a full probability table or distribution when a local mass, bound, or identity is insufficient. Specify dependence, conditioning, support order, and endpoint policy before combining terms.
References
Similar or alternative tools
- Binomial Mass Mode Tie Boundary
Return lowerMode=clamp(ceil(a)-1,0,trials), upperMode=min(trials,floor(a)), and tied when a is an integer from one through trials.
- Censored Event Boundary Mass
Distinguish P(X<t) from P(X<=t) using supplied left-limit and endpoint CDF values.