# Missing, Nonfinite, Censored, and Truncated Values

`D00-F03-A07` · Financial Mathematics, Statistics, and Data Foundations → Data, Variables, Samples, and Measurement · archetype `record-transform` · difficulty 1/5 · verification **verified**

Full page: https://docs.thefintechbuilder.com/foundations/data-variables-samples-and-measurement/missing-nonfinite-censored-and-truncated-values/
Agent skill: `npx skills add IslamBaraka90/Fintech-Algorithms-Library` — https://docs.thefintechbuilder.com/guides/agent-skill/

## Install and import

```bash
npm install fintech-algorithms
```

```ts
import { missingNonfiniteCensoredAndTruncatedValues } from "fintech-algorithms/foundations/data-variables-samples-and-measurement/missing-nonfinite-censored-and-truncated-values";
```

## Signature

```ts
missingNonfiniteCensoredAndTruncatedValues(input)
```

Tallies the ways a table's `value` column can fail to be an ordinary number, separating missing entries, non-finite ones and censored rows.

## Parameters

| Name | Type | Required | Notes |
| --- | --- | --- | --- |
| `input` | `D00Input` | yes | A plain object. Every F03 topic first reads `rows`, which must be a non-empty array of row objects, and derives the sorted union of every key seen across them before any per-topic branch runs. This topic reads each row's `value` and `censored` fields, and reads `truncationRule` at the top level as a flag for whether a truncation rule was applied at all. |

## Returns

`{ missing: number; nonfinite: number; censored: number; truncated: boolean }`

`missing` counts rows whose `value` is null or undefined, `nonfinite` counts numeric values that are infinite or NaN, and `censored` counts rows whose `censored` field is truthy. `truncated` is simply whether `truncationRule` was supplied and truthy, not a count.

## Errors

- When input is not a plain object — throws TypeError
- When rows is missing, empty, or not an array — throws RangeError

## Complexity

Time `O(r * c)`, space `O(r * c)`.

## Worked example

This is the worked example published in the article, replayed by the test suite on every run. The output cannot drift.

### Input

`input`:

```json
{
  "rows": [
    {
      "entity": "A",
      "timestamp": "2025-01-01T00:00:00Z",
      "value": 10,
      "rating": "low"
    },
    {
      "entity": "A",
      "timestamp": "2025-01-02T00:00:00Z",
      "value": null,
      "rating": "medium",
      "censored": true
    },
    {
      "entity": "B",
      "timestamp": "2025-01-01T00:00:00Z",
      "value": 12,
      "rating": "high"
    }
  ],
  "ordinalColumns": ["rating"],
  "populationSize": 100,
  "frameSize": 80,
  "keyColumns": ["entity", "timestamp"],
  "truncationRule": "values below 5 excluded",
  "measurements": [9.9, 10, 10.1, 10],
  "referenceValue": 10,
  "vintages": [
    {
      "availableAt": "2025-02-01T00:00:00Z",
      "value": 100
    },
    {
      "availableAt": "2025-03-01T00:00:00Z",
      "value": 102
    },
    {
      "availableAt": "2025-04-01T00:00:00Z",
      "value": 101
    }
  ],
  "asOf": "2025-03-15T00:00:00Z",
  "provenance": {
    "source": "teaching.csv",
    "owner": "Fintech Builder",
    "license": "CC-BY-4.0",
    "retrievedAt": "2026-08-10",
    "transformations": ["parse", "validate"]
  }
}
```

### Call

```ts
missingNonfiniteCensoredAndTruncatedValues(input)
```

### Returns

object with 2 fields: missing, nonfinite

```json
{
  "missing": 1,
  "nonfinite": 0
}
```

## Verification and provenance

Tier: **verified** (via input-expected).

The worked example below is the figure published in this algorithm's article, replayed and asserted by the test suite on every build. The arithmetic cannot drift without the build failing.

Both tiers guarantee the signature. Full explanation: https://docs.thefintechbuilder.com/guides/verification/

Generated from the docs.json payload shipped inside fintech-algorithms@0.13.0.
The signature and parameter list are checked against the compiled implementation at build time,
so a description that contradicts the code fails the build rather than reaching this file.

## Links

- Article (how it works, step by step): https://thefintechbuilder.com/foundations/data-variables-samples-and-measurement/missing-nonfinite-censored-and-truncated-values/
- Implementation source: https://github.com/IslamBaraka90/Fintech-Algorithms-Library/blob/main/src/foundations/data-variables-samples-and-measurement/missing-nonfinite-censored-and-truncated-values/impl.ts
- Package on npm: https://www.npmjs.com/package/fintech-algorithms
- Domain index for agents: https://docs.thefintechbuilder.com/foundations/llms.txt
