Description
Return inclusiveTail=strictTail+endpointMass, requiring both inputs within zero through one and their sum no greater than one.
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 inclusiveTail=strictTail+endpointMass, requiring both inputs within zero through one and their sum no greater than one.
When to use this tool
Use Discrete Tail Endpoint Inclusion 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 strictTail, endpointMass. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read inclusiveTail. Use the output convention below.
Return inclusiveTail=strictTail+endpointMass, requiring both inputs within zero through one and their sum no greater than one.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| strictTail | Strict Tail | Required. Finite number; minimum 0; maximum 1. |
| endpointMass | Endpoint Mass | Required. Finite number; minimum 0; maximum 1. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| inclusiveTail | Inclusive Tail | Required. Finite number. |
{
"input": {
"strictTail": 0.25,
"endpointMass": 0.125
},
"output": {
"inclusiveTail": 0.375
}
}Limitations and assumptions
- The strict tail and endpoint atom must refer to the same boundary and nonoverlapping events. No CDF or support is reconstructed.
- 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
- Beta Density Endpoint Power Test
Classify the Beta density at zero from its positive first shape parameter, holding the second shape positive.
- Discrete Cdf Inverse Flat Step Policy
Find the first cdf entry greater than mass if strict, otherwise greater than or equal to mass.