# STAT 610: Introduction to Statistical Inference | UW–Madison

[View on UW Courses](https://uwcourses.com/courses/STAT_610)

## Dataset

### revision

e243353dcb7d79b7247ced91d69443ef4c2a6349

### repository

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### schema version

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### importer version

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### built at

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### current instructors

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### limited

false

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### term

1272

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## course

### run id

20260907T155543-ce3781c4

### semester

1272

### observed at

2026-09-07 15:55:43.033547+00:00

### record version id

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### course id

STAT 610

### course uid

course\_2c47f118c8b20b84e9ca9d5d

### catalog version id

b7766901848025946c7a6870e9377a7536b64e7060b6e6aef185f2ea52069714

### course number

610

### subjects

* STAT

### title

INTRODUCTION TO STATISTICAL INFERENCE

### description

Conditioning, distribution theory, approximation to distributions, modes of convergence, limit theorems, statistical models, parameter estimation, comparision of estimators, confidence sets, theory of hypothesis tests, introduction to Bayesian inference and nonparametric estimation.

### requirements text

Graduate/professional standing or declared in Statistics VISP

### credits min

4

### credits max

4

### credit offering ids

* 1272:932:018478

### llm job id

enrich-8b774950c2b6adfdc46d1b82

### llm output id

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### llm model

nvidia/Qwen3.6-35B-A3B-NVFP4

### llm model revision

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### llm task version

14

### llm search status

valid

### llm summary

STAT 610 introduces statistical inference, covering distribution theory, limit theorems, parameter estimation, hypothesis testing, Bayesian inference, and nonparametric estimation.

### llm topics

* Distribution theory, convergence, and limit theorems.
* Statistical models, estimation, and confidence sets.
* Theory of hypothesis tests.
* Bayesian inference and nonparametric estimation.

### llm skills

* Parameter estimation techniques.
* Comparing statistical estimators.
* Constructing confidence sets.
* Theory of hypothesis tests.
* Introduction to Bayesian inference.
* Nonparametric estimation methods.

### llm assumed background

* Graduate standing or declaration in the Statistics VISP program.

### llm search phrases

* statistical inference graduate course
* STAT 610 distribution theory
* parameter estimation confidence sets
* Bayesian inference nonparametric estimation

### llm requirements status

valid

### llm student summary status

valid

### llm experience status

valid

### catalog variants

None recorded.

### student summary

#### context hash

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#### course id

STAT 610

#### current instructors

```json
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    "message": "No course-specific reviews available",
    "name": "Jun Shao",
    "review_status": "no_course_reviews",
    "rmp_instructor_id": null,
    "summary": [
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        "text": "Recent recorded grades — Fall 2021: 3.53 GPA, 70.6% A/AB (n=17 letter grades); Fall 2022: 3.60 GPA, 76.2% A/AB (n=21 letter grades); Spring 2024: 3.59 GPA, 72.7% A/AB (n=11 letter grades)."
      }
    ]
  }
]
```

#### difficulty workload

Historical reviews of Wei-Yin Loh: Assignments and exams are described as too tricky, with a useless textbook even for open-book exams, potentially causing students to quit before mid-term.

```json
{
  "citations": [
    {
      "instructor_name": "Wei-Yin Loh",
      "review_date": "2019-11-01 05:59:19 +0000 UTC",
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```

#### errors

None recorded.

#### historical context

Jun Shao is the current instructor. Historical reviews for Wei-Yin Loh describe an amiable professor who shares stories and teaches from first principles, but note that homework and exams are tricky and the textbook is useless.

```json
{
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```

#### offered

true

#### profile hash

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#### quick take

Historical reviews for Wei-Yin Loh describe a friendly instructor who uses unique problem-solving views, but warn that homework and exams are tricky and the textbook is useless.

```json
{
  "citations": [
    {
      "instructor_name": "Wei-Yin Loh",
      "review_date": "2019-11-01 05:59:19 +0000 UTC",
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```

Recent recorded grades — Fall 2024: 3.52 GPA, 69.0% A/AB (n=29 letter grades); Spring 2025: 3.33 GPA, 65.4% A/AB (n=26 letter grades); Fall 2025: 3.29 GPA, 62.5% A/AB (n=24 letter grades).

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```

#### student experience

Historical reviews of Wei-Yin Loh: The professor is amiable and shares stories, but missing several classes may lead to failure due to the course's demanding nature.

```json
{
  "citations": [
    {
      "instructor_name": "Wei-Yin Loh",
      "review_date": "2019-11-01 05:59:19 +0000 UTC",
      "review_id": "bfc955770c1ee7d4dd0ed4c3",
      "run_id": "20260907T155543-ce3781c4",
      "source_instructor_id": "rmp:371080",
      "source_review_id": "UmF0aW5nLTMyMzQ0OTM3",
      "source_url": "https://www.ratemyprofessors.com/professor/371080",
      "type": "review"
    }
  ]
}
```

#### task hash

74fb0997943e888960bbc9e47db8c4fd12e4292d55c20509d8d89db6a9910f68

#### teaching history

JUN SHAO is recorded teaching in Spring 2015, Fall 2021, Fall 2022, Spring 2024. Recorded history may be incomplete and does not establish a future schedule.

```json
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```

#### term id

1272

#### term name

2026 Fall

#### version

2

### requirements

#### nodes

```json
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    "course": null,
    "evidence": "Graduate/professional standing or declared in Statistics VISP",
    "id": "n0",
    "kind": "condition"
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]
```

#### notes

None recorded.

#### root

n0

#### status

parsed

### instructors

| instructor\_uid                      | source     | source\_instructor\_id | identity\_basis | identity\_status   | name       | email               | first\_observed\_at              | last\_observed\_at               | instructor\_url          |
| ------------------------------------ | ---------- | ---------------------- | --------------- | ------------------ | ---------- | ------------------- | -------------------------------- | -------------------------------- | ------------------------ |
| instructor\_abeac1469597629693634b82 | enrollment | jshao                  | netid           | source\_identified | Jun Shao   | SHAO\@STAT.WISC.EDU | 2026-09-07 15:55:43.033547+00:00 | 2026-09-07 15:55:43.033547+00:00 | /instructors/JUN\_SHAO   |
| instructor\_5beba5d1403668fc5d2f1fec | enrollment | xlei35                 | netid           | source\_identified | Xiaoyu Lei | XLEI35\@WISC.EDU    | 2026-09-07 15:55:43.033547+00:00 | 2026-09-07 15:55:43.033547+00:00 | /instructors/XIAOYU\_LEI |

### offerings

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### sections

```json
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```

### grade instructors

```json
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    "name": "MICHAEL NEWTON",
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    "first_observed_at": "2026-09-06 23:14:58.172943+00:00",
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### grades

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    "term_id": "1184",
    "term_name": "Spring 2018",
    "instructors": [
      "Derek Bean",
      "ZHANG CHUNMING"
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    "a": 24,
    "ab": 27,
    "b": 9,
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    "c": 0,
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    "unsatisfactory": 0,
    "credit": 0,
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    "total": 62,
    "source_aliases": [
      "STAT 610"
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  {
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    "course_id": "STAT 610",
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    "term_name": "Fall 2018",
    "instructors": [
      "Nicolas Garcia Trillos",
      "ZHANG CHUNMING"
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    "a": 37,
    "ab": 18,
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    "bc": 3,
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    "total": 78,
    "source_aliases": [
      "STAT 610"
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  },
  {
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    "semester": "1272",
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    "course_id": "STAT 610",
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    "term_id": "1194",
    "term_name": "Spring 2019",
    "instructors": [
      "ANRU ZHANG"
    ],
    "a": 18,
    "ab": 14,
    "b": 2,
    "bc": 0,
    "c": 0,
    "d": 0,
    "f": 0,
    "satisfactory": 0,
    "unsatisfactory": 0,
    "credit": 0,
    "no_credit": 0,
    "passed": 0,
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    "total": 34,
    "source_aliases": [
      "STAT 610"
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  },
  {
    "run_id": "20260907T155543-ce3781c4",
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    "term_id": "1202",
    "term_name": "Fall 2019",
    "instructors": [
      "ANRU ZHANG"
    ],
    "a": 39,
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    "b": 8,
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    "total": 81,
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  {
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    "term_name": "Spring 2020",
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      "ANRU ZHANG"
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  {
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    "term_name": "Fall 2020",
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      "Nicolas Garcia Trillos"
    ],
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  {
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    "term_name": "Fall 2021",
    "instructors": [
      "Jun Shao",
      "Nicolas Garcia Trillos"
    ],
    "a": 35,
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    "total": 50,
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  },
  {
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    ],
    "a": 21,
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  {
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      "Joshua Cape",
      "Jun Shao"
    ],
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  {
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      "PANDUAN AN"
    ],
    "a": 16,
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  },
  {
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    "term_name": "Fall 2023",
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      "Alejandra Quintos Lima",
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    ],
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  {
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  {
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    "term_name": "Spring 2025",
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  {
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    "term_name": "Fall 2025",
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  },
  {
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    "term_id": "1264",
    "term_name": "Spring 2026",
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      "ZHANG CHUNMING"
    ],
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    "source_aliases": [
      "STAT 610"
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  }
]
```

### statistics

#### gpa

3.573

#### graded

990

#### counts

* 414
* 360
* 184
* 24
* 4
* 1
* 3

### grade conflicts

None recorded.

### evidence

#### history

* [/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/history/course\_2c47f118c8b20b84e9ca9d5d-0.json](https://uwcourses.com/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/history/course_2c47f118c8b20b84e9ca9d5d-0.json)

#### traces

* [/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/traces/course\_2c47f118c8b20b84e9ca9d5d-0.json](https://uwcourses.com/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/traces/course_2c47f118c8b20b84e9ca9d5d-0.json)

#### reviews

* [/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/reviews/course\_2c47f118c8b20b84e9ca9d5d-0.json](https://uwcourses.com/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/reviews/course_2c47f118c8b20b84e9ca9d5d-0.json)

#### meetings

* [/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/meetings/course\_2c47f118c8b20b84e9ca9d5d-0.json](https://uwcourses.com/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/meetings/course_2c47f118c8b20b84e9ca9d5d-0.json)

#### results

* [/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/results/course\_2c47f118c8b20b84e9ca9d5d-0.json](https://uwcourses.com/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/results/course_2c47f118c8b20b84e9ca9d5d-0.json)

### revision

e243353dcb7d79b7247ced91d69443ef4c2a6349

## instructor Trends

```json
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  },
  {
    "uid": "instructor_047948177658c2ff48eaa84f",
    "name": "ALEJANDRA QUINTOS LIMA",
    "count": 18,
    "terms": [
      {
        "term": "1242",
        "count": 18,
        "sections": 1,
        "gpa": 3.2222222222222223
      }
    ]
  }
]
```

## following

| code                 | title                                                 |
| -------------------- | ----------------------------------------------------- |
| BMI/STAT 643         | CLINICAL TRIAL DESIGN, IMPLEMENTATION, AND ANALYSIS   |
| BMI/STAT 727         | THEORY AND METHODS OF LONGITUDINAL DATA ANALYSIS      |
| ECON/GENBUS/STAT 775 | BAYESIAN STATISTICS                                   |
| STAT 732             | LARGE SAMPLE THEORY OF STATISTICAL INFERENCE          |
| STAT 760             | MULTIVARIATE ANALYSIS I                               |
| STAT 780             | INTRODUCTION TO QUANTUM DATA SCIENCE                  |
| STAT 841             | NONPARAMETRIC STATISTICS AND MACHINE LEARNING METHODS |
