# STAT 732: Large Sample Theory of Statistical Inference | UW–Madison [View on UW Courses](https://uwcourses.com/courses/STAT_732) ## Dataset ### revision e243353dcb7d79b7247ced91d69443ef4c2a6349 ### repository twangodev/uwcourses ### schema version 6 ### importer version 7 ### projection id 52a78527ff09011d88cb04c7d43867d9fbfec2930bf1dd2ec359ebd2844e0b07 ### observed at 2026-09-07T15:55:43.033547+00:00 ### built at 2026-09-10T19:50:42.743001+00:00 ### courses 8951 ### current instructors 5754 ### limited false ### terms * 1272 * 1264 * 1262 * 1254 * 1252 * 1244 * 1242 * 1234 * 1232 * 1224 * 1222 * 1212 * 1204 * 1202 * 1194 * 1192 * 1184 * 1182 * 1174 * 1172 * 1164 * 1162 * 1154 * 1152 * 1144 * 1142 * 1134 * 1132 * 1124 * 1122 * 1114 * 1112 * 1104 * 1102 * 1094 * 1092 * 1084 * 1082 * 1074 * 1072 ### term 1272 ### departments | subject | count | | --------- | ----- | | AAE | 90 | | ABT | 20 | | ACCTIS | 36 | | ACTSCI | 14 | | AFAERO | 10 | | AFRICAN | 87 | | AFROAMER | 71 | | AGROECOL | 21 | | AMERIND | 53 | | ANAT\&PHY | 7 | | ANATOMY | 2 | | ANESTHES | 8 | | ANSCI | 57 | | ANTHRO | 95 | | ART | 125 | | ARTED | 10 | | ARTHIST | 121 | | ASIALANG | 129 | | ASIAN | 109 | | ASIANAM | 28 | | ASTRON | 38 | | ATMOCN | 69 | | BIOCHEM | 51 | | BIOCORE | 10 | | BIOLOGY | 14 | | BIOMDSCI | 18 | | BME | 66 | | BMI | 41 | | BMOLCHEM | 10 | | BOTANY | 69 | | BSE | 44 | | C\&ESOC | 73 | | CBE | 48 | | CHEM | 101 | | CHICLA | 52 | | CIVENGR | 133 | | CLASSICS | 47 | | CNP | 10 | | CNSRSCI | 50 | | COMARTS | 137 | | COMPBIO | 15 | | COMPLIT | 11 | | COMPSCI | 138 | | COUNPSY | 78 | | CRB | 19 | | CS\&D | 71 | | CSCS | 40 | | CURRIC | 193 | | DANCE | 93 | | DERM | 8 | | DS | 88 | | DYSCI | 35 | | ECE | 155 | | ECON | 145 | | EDPOL | 114 | | EDPSYCH | 97 | | ELPA | 70 | | EMA | 53 | | EMERMED | 17 | | ENGL | 206 | | ENTOM | 40 | | ENVIRST | 148 | | EP | 15 | | EPD | 67 | | ESL | 16 | | F\&WECOL | 60 | | FAMMED | 22 | | FINANCE | 50 | | FOLKLORE | 40 | | FOODSCI | 43 | | FRENCH | 63 | | GEN\&WS | 145 | | GENBUS | 72 | | GENECSLR | 17 | | GENETICS | 60 | | GEOG | 113 | | GEOSCI | 83 | | GERMAN | 82 | | GLE | 48 | | GNS | 38 | | GREEK | 27 | | HDFS | 41 | | HEBR-BIB | 13 | | HEBR-MOD | 10 | | HISTORY | 233 | | HISTSCI | 56 | | HONCOL | 13 | | ILS | 43 | | INFOSYS | 9 | | INTEGART | 7 | | INTEGSCI | 22 | | INTER-AG | 18 | | INTER-HE | 11 | | INTER-LS | 22 | | INTEREGR | 16 | | INTLBUS | 21 | | INTLST | 50 | | ISYE | 83 | | ITALIAN | 53 | | JEWISH | 56 | | JOURN | 88 | | KINES | 128 | | LACIS | 26 | | LANDARC | 61 | | LATIN | 24 | | LAW | 120 | | LEGALST | 48 | | LINGUIS | 35 | | LIS | 89 | | LITTRANS | 78 | | LSC | 52 | | M\&ENVTOX | 7 | | MARKETNG | 62 | | MATH | 153 | | MDGENET | 8 | | ME | 130 | | MEDHIST | 43 | | MEDICINE | 60 | | MEDIEVAL | 32 | | MEDPHYS | 39 | | MEDSC-M | 29 | | MEDSC-V | 41 | | MHR | 68 | | MICROBIO | 45 | | MILSCI | 16 | | MM\&I | 22 | | MOLBIOL | 6 | | MS\&E | 59 | | MUSIC | 165 | | MUSPERF | 126 | | NAVSCI | 20 | | NE | 44 | | NEURODPT | 11 | | NEUROL | 7 | | NEURSURG | 4 | | NTP | 11 | | NURSING | 111 | | NUTRSCI | 65 | | OBS\&GYN | 18 | | OCCTHER | 39 | | ONCOLOGY | 14 | | OPHTHALM | 5 | | OTM | 43 | | PATH | 34 | | PATH-BIO | 29 | | PEDIAT | 26 | | PHARMACY | 31 | | PHILOS | 77 | | PHMCOL-M | 11 | | PHMPRAC | 45 | | PHMSCI | 60 | | PHYASST | 37 | | PHYSICS | 88 | | PHYSIOL | 3 | | PHYTHER | 37 | | PLANTSCI | 52 | | PLPATH | 35 | | POLISCI | 192 | | POPHLTH | 58 | | PORTUG | 33 | | PSYCH | 101 | | PSYCHIAT | 22 | | PUBAFFR | 54 | | PUBLHLTH | 23 | | RADIOL | 11 | | REALEST | 41 | | RELIGST | 90 | | RHABMED | 9 | | RMI | 24 | | RP\&SE | 102 | | S\&APHM | 17 | | SCANDST | 73 | | SLAVIC | 89 | | SOC | 149 | | SOCWORK | 87 | | SOILSCI | 46 | | SPANISH | 83 | | SRMED | 21 | | STAT | 94 | | STDYABRD | 52 | | STS | 8 | | SURGERY | 25 | | SURGSCI | 33 | | THEATRE | 91 | | URBRPL | 60 | | UROLOGY | 5 | | ZOOLOGY | 89 | ## course ### run id 20260907T155543-ce3781c4 ### semester 1272 ### observed at 2026-09-07 15:55:43.033547+00:00 ### record version id d6278a7b5f17df05cef336a64b4c397b7a1323601a78e3ea46507e9a3e99f856 ### course id STAT 732 ### course uid course\_a115f821e881e05681802038 ### catalog version id 852f518c247cb7571b9f20cb156ca7e08eae2e0c78e2f2ff91596f71bc4c6e2d ### course number 732 ### subjects * STAT ### title LARGE SAMPLE THEORY OF STATISTICAL INFERENCE ### description Stochastic modes of convergence. Asymptotic theory of normed sums of random variables with applications to asymptotic normality of estimators. Methods for deriving limit distributions of nonlinear statistics. Asymptotic relative efficiencies. Asymptotic confidence regions and tests of hypotheses. Models of non-identically distributed or dependent random variables. ### requirements text STAT 610orMATH/​STAT  709 ### credit offering ids None recorded. ### llm job id enrich-8b774950c2b6adfdc46d1b82 ### llm output id 3c83ce4e35fe46d047ade83e79d1f17b6e9299698e44dcae32017c41a8794057 ### llm model nvidia/Qwen3.6-35B-A3B-NVFP4 ### llm model revision 1355db6a052410cfd62085d94b58866fd0f2c3c5 ### llm task version 14 ### llm search status valid ### llm summary STAT 732 covers large sample theory, focusing on stochastic convergence, asymptotic normality, and limit distributions for statistical inference. ### llm topics * Asymptotic relative efficiencies and models for dependent or non-identically distributed variables. ### llm skills * Deriving limit distributions and constructing asymptotic confidence regions and hypothesis tests. ### llm assumed background * Prerequisites in statistical inference, limit theorems, and large sample theory. ### llm search phrases * asymptotic theory * stochastic convergence * limit distributions * asymptotic normality * statistical inference ### llm requirements status valid ### llm student summary status valid ### llm experience status insufficient\_evidence ### catalog variants None recorded. ### student summary #### context hash 81278e7848f26f0f8d29dcd955396569077e1edd75d1f6eb39a31401bcda8b3b #### course id STAT 732 #### current instructors None recorded. #### difficulty workload None recorded. #### errors None recorded. #### historical context None recorded. #### message No course-specific reviews available #### offered false #### profile hash 5cb4dabf887cdbcd8c00d5a1312e10828b95c63f30bc3ea76aea199565390d02 #### quick take Recent recorded grades — Spring 2012: 4.00 GPA, 100.0% A/AB (n=9 letter grades); Spring 2018: 3.92 GPA, 96.2% A/AB (n=26 letter grades); Spring 2020: 3.73 GPA, 91.7% A/AB (n=24 letter grades). ```json { "citations": [ { "course_id": "STAT 732", "run_id": "20260907T155543-ce3781c4", "source_record": { "entity_id": "ab8e9d26-04da-3efd-99bd-13fd106f6083", "file": "tables/observations.parquet", "kind": "grades", "source": "madgrades" }, "table": "grades_latest", "term_id": "1124", "type": "grade" }, { "course_id": "STAT 732", "run_id": "20260907T155543-ce3781c4", "source_record": { "entity_id": "ab8e9d26-04da-3efd-99bd-13fd106f6083", "file": "tables/observations.parquet", "kind": "grades", "source": "madgrades" }, "table": "grades_latest", "term_id": "1184", "type": "grade" }, { "course_id": "STAT 732", "run_id": "20260907T155543-ce3781c4", "source_record": { "entity_id": "ab8e9d26-04da-3efd-99bd-13fd106f6083", "file": "tables/observations.parquet", "kind": "grades", "source": "madgrades" }, "table": "grades_latest", "term_id": "1204", "type": "grade" } ] } ``` #### student experience None recorded. #### task hash 74fb0997943e888960bbc9e47db8c4fd12e4292d55c20509d8d89db6a9910f68 #### teaching history None recorded. #### term id 1272 #### term name 2026 Fall #### version 2 ### requirements #### nodes ```json [ { "children": [ "n1", "n2" ], "condition": null, "course": null, "evidence": "STAT 610orMATH/STAT 709", "id": "n0", "kind": "any" }, { "children": [], "condition": null, "course": { "course_number": 610, "minimum_grade": null, "subjects": [ "STAT" ], "timing": "prior" }, "evidence": "STAT 610", "id": "n1", "kind": "course" }, { "children": [], "condition": null, "course": { "course_number": 709, "minimum_grade": null, "subjects": [ "MATH", "STAT" ], "timing": "prior" }, "evidence": "MATH/STAT 709", "id": "n2", "kind": "course" } ] ``` #### notes None recorded. #### root n0 #### status parsed ### instructors None recorded. ### offerings None recorded. ### sections None recorded. ### grade instructors ```json [ { "instructor_uid": "instructor_b12e39754963266e67c2e708", "source": "madgrades", "source_instructor_id": "3404299", "identity_basis": "source_id", "identity_status": "source_identified", "name": "KJELL DOKSUM", "email": null, "first_observed_at": "2026-09-06 23:14:58.172943+00:00", "last_observed_at": "2026-09-07 15:55:43.033547+00:00", "grade_statistics": { "gpa": 3.288, "graded": 137, "counts": [ 38, 39, 39, 14, 4, 2, 1 ], "sections": 15 }, "instructor_url": "/instructors/KJELL_DOKSUM--instructor_b12e39754963266e67c2e708" }, { "instructor_uid": "instructor_8e924d59a99dc4ba0b8501dc", "source": "madgrades", "source_instructor_id": "1426304", "identity_basis": "source_id", "identity_status": "source_identified", "name": "ZHANG CHUNMING", "email": null, "first_observed_at": "2026-09-06 23:14:58.172943+00:00", "last_observed_at": "2026-09-07 15:55:43.033547+00:00", "grade_statistics": { "gpa": 3.521, "graded": 1354, "counts": [ 617, 372, 243, 88, 21, 6, 7 ], "sections": 86 }, "instructor_url": "/instructors/ZHANG_CHUNMING--instructor_8e924d59a99dc4ba0b8501dc" }, { "instructor_uid": "instructor_6ef6ba5b00788b0ab8154cde", "source": "madgrades", "source_instructor_id": "1079018", "identity_basis": "source_id", "identity_status": "source_identified", "name": "JUN SHAO", "email": null, "first_observed_at": "2026-09-06 23:14:58.172943+00:00", "last_observed_at": "2026-09-07 15:55:43.033547+00:00", "grade_statistics": { "gpa": 3.641, "graded": 619, "counts": [ 325, 153, 135, 3, 3, 0, 0 ], "sections": 78 }, "instructor_url": "/instructors/JUN_SHAO--instructor_6ef6ba5b00788b0ab8154cde" }, { "instructor_uid": "instructor_9ccfca7f6342a0641304379e", "source": "madgrades", "source_instructor_id": "4646729", "identity_basis": "source_id", "identity_status": "source_identified", "name": "ANRU ZHANG", "email": null, "first_observed_at": "2026-09-06 23:14:58.172943+00:00", "last_observed_at": "2026-09-07 15:55:43.033547+00:00", "ratings": { "review_count": 8, "quality": 2.5, "difficulty": 3.62, "quality_count": 8, "difficulty_count": 8, "profile_id": "rmp:2127807", "source_url": "https://www.ratemyprofessors.com/professor/2127807", "match_basis": "exact_name", "observed_at": "2026-09-07 16:54:34.137992+00:00", "courses": { "course_2a00c702ff402614a950606e": { "review_count": 8, "quality": 2.5, "difficulty": 3.62, "quality_count": 8, "difficulty_count": 8 } }, "bayesian_quality": 3.328346988247568, "prior_mean": 3.6596857835465957, "prior_weight": 20 }, "grade_statistics": { "gpa": 3.449, "graded": 668, "counts": [ 303, 164, 95, 64, 33, 7, 2 ], "sections": 21 }, "instructor_url": "/instructors/ANRU_ZHANG--instructor_9ccfca7f6342a0641304379e" } ] ``` ### grades ```json [ { "run_id": "20260907T155543-ce3781c4", "semester": "1272", "observed_at": "2026-09-07 15:55:43.033547+00:00", "course_id": "STAT 732", "course_uid": "course_a115f821e881e05681802038", "term_id": "1084", "term_name": "Spring 2008", "instructors": [ "KJELL DOKSUM" ], "a": 8, "ab": 2, "b": 0, "bc": 1, "c": 0, "d": 0, "f": 0, "satisfactory": 0, "unsatisfactory": 0, "credit": 0, "no_credit": 0, "passed": 0, "incomplete": 0, "no_work": 0, "not_reported": 0, "other": 0, "total": 11, "source_aliases": [ "STAT 732" ] }, { "run_id": "20260907T155543-ce3781c4", "semester": "1272", "observed_at": "2026-09-07 15:55:43.033547+00:00", "course_id": "STAT 732", "course_uid": "course_a115f821e881e05681802038", "term_id": "1104", "term_name": "Spring 2010", "instructors": [ "ZHANG CHUNMING" ], "a": 15, "ab": 2, "b": 1, "bc": 0, "c": 0, "d": 0, "f": 0, "satisfactory": 2, "unsatisfactory": 0, "credit": 0, "no_credit": 0, "passed": 0, "incomplete": 0, "no_work": 0, "not_reported": 0, "other": 0, "total": 20, "source_aliases": [ "STAT 732" ] }, { "run_id": "20260907T155543-ce3781c4", "semester": "1272", "observed_at": "2026-09-07 15:55:43.033547+00:00", "course_id": "STAT 732", "course_uid": "course_a115f821e881e05681802038", "term_id": "1124", "term_name": "Spring 2012", "instructors": [ "Jun Shao" ], "a": 9, "ab": 0, "b": 0, "bc": 0, "c": 0, "d": 0, "f": 0, "satisfactory": 0, "unsatisfactory": 0, "credit": 0, "no_credit": 0, "passed": 0, "incomplete": 0, "no_work": 0, "not_reported": 0, "other": 0, "total": 9, "source_aliases": [ "STAT 732" ] }, { "run_id": "20260907T155543-ce3781c4", "semester": "1272", "observed_at": "2026-09-07 15:55:43.033547+00:00", "course_id": "STAT 732", "course_uid": "course_a115f821e881e05681802038", "term_id": "1184", "term_name": "Spring 2018", "instructors": [ "ANRU ZHANG" ], "a": 24, "ab": 1, "b": 0, "bc": 1, "c": 0, "d": 0, "f": 0, "satisfactory": 0, "unsatisfactory": 0, "credit": 0, "no_credit": 0, "passed": 0, "incomplete": 0, "no_work": 0, "not_reported": 0, "other": 0, "total": 26, "source_aliases": [ "STAT 732" ] }, { "run_id": "20260907T155543-ce3781c4", "semester": "1272", "observed_at": "2026-09-07 15:55:43.033547+00:00", "course_id": "STAT 732", "course_uid": "course_a115f821e881e05681802038", "term_id": "1204", "term_name": "Spring 2020", "instructors": [ "ZHANG CHUNMING" ], "a": 13, "ab": 9, "b": 2, "bc": 0, "c": 0, "d": 0, "f": 0, "satisfactory": 1, "unsatisfactory": 0, "credit": 0, "no_credit": 0, "passed": 0, "incomplete": 0, "no_work": 0, "not_reported": 0, "other": 0, "total": 25, "source_aliases": [ "STAT 732" ] } ] ``` ### statistics #### gpa 3.852 #### graded 88 #### counts * 69 * 14 * 3 * 2 * 0 * 0 * 0 ### grade conflicts None recorded. ### evidence #### history * [/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/history/course\_a115f821e881e05681802038-0.json](https://uwcourses.com/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/history/course_a115f821e881e05681802038-0.json) #### traces * [/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/traces/course\_a115f821e881e05681802038-0.json](https://uwcourses.com/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/traces/course_a115f821e881e05681802038-0.json) #### results * [/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/results/course\_a115f821e881e05681802038-0.json](https://uwcourses.com/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/results/course_a115f821e881e05681802038-0.json) ### revision e243353dcb7d79b7247ced91d69443ef4c2a6349 ## context ### all #### term #### gpa 3.852272727272727 #### count 88 #### university ##### size 2330 ##### gpa Percentile 72 ##### count Percentile 47 ##### median Count 95 ##### histogram | range | count | current | | ------- | ----- | ------- | | 0.0–0.4 | 0 | false | | 0.4–0.8 | 0 | false | | 0.8–1.2 | 0 | false | | 1.2–1.6 | 0 | false | | 1.6–2.0 | 0 | false | | 2.0–2.4 | 0 | false | | 2.4–2.8 | 14 | false | | 2.8–3.2 | 282 | false | | 3.2–3.6 | 731 | false | | 3.6–4.0 | 1303 | true | #### departments ```json [ { "subject": "STAT", "comparison": { "size": 40, "gpaPercentile": 82, "countPercentile": 38, "medianCount": 112, "histogram": [ { "range": "0.0–0.4", "count": 0, "current": false }, { "range": "0.4–0.8", "count": 0, "current": false }, { "range": "0.8–1.2", "count": 0, "current": false }, { "range": "1.2–1.6", "count": 0, "current": false }, { "range": "1.6–2.0", "count": 0, "current": false }, { "range": "2.0–2.4", "count": 0, "current": false }, { "range": "2.4–2.8", "count": 0, "current": false }, { "range": "2.8–3.2", "count": 5, "current": false }, { "range": "3.2–3.6", "count": 16, "current": false }, { "range": "3.6–4.0", "count": 19, "current": true } ] } } ] ``` ### terms #### 1084 ##### term 1084 ##### gpa 3.772727272727273 ##### count 11 ##### departments | subject | comparison | | ------- | ---------- | | STAT | | #### 1104 ##### term 1104 ##### gpa 3.888888888888889 ##### count 18 ##### departments | subject | comparison | | ------- | ---------- | | STAT | | #### 1124 ##### term 1124 ##### gpa 4 ##### count 9 ##### departments | subject | comparison | | ------- | ---------- | | STAT | | #### 1184 ##### term 1184 ##### gpa 3.923076923076923 ##### count 26 ##### departments | subject | comparison | | ------- | ---------- | | STAT | | #### 1204 ##### term 1204 ##### gpa 3.7291666666666665 ##### count 24 ##### departments | subject | comparison | | ------- | ---------- | | STAT | | ### benchmarks #### all ##### school ###### size 2330 ###### gpa 3.6055254741054066 ###### top Share 78.46763838755174 ###### count 95 ##### STAT ###### size 40 ###### gpa 3.5665967783589934 ###### top Share 76.42329340997694 ###### count 112 #### terms ##### 1084 ###### school ###### size 720 ###### gpa 3.3670742938849725 ###### top Share 63.42064564712246 ###### count 70 ###### STAT ###### size 11 ###### gpa 3.1916703213972117 ###### top Share 53.20854008345764 ###### count 60 ##### 1104 ###### school ###### size 793 ###### gpa 3.384661458923085 ###### top Share 64.6614752434143 ###### count 66 ###### STAT ###### size 11 ###### gpa 3.2176332921053334 ###### top Share 53.16837069213127 ###### count 89 ##### 1124 ###### school ###### size 821 ###### gpa 3.406589342026613 ###### top Share 66.35774230127205 ###### count 67 ###### STAT ###### size 14 ###### gpa 3.2125467513502213 ###### top Share 52.75719815805796 ###### count 73.5 ##### 1184 ###### school ###### size 1010 ###### gpa 3.47925290354517 ###### top Share 70.86270937115944 ###### count 68 ###### STAT ###### size 25 ###### gpa 3.460210558661105 ###### top Share 70.42953406269322 ###### count 70 ##### 1204 ###### school ###### size 1012 ###### gpa 3.703747431523761 ###### top Share 84.59811226304916 ###### count 65.5 ###### STAT ###### size 27 ###### gpa 3.6537351147420534 ###### top Share 80.87794592686507 ###### count 56 ## instructor Trends ```json [ { "uid": "instructor_8e924d59a99dc4ba0b8501dc", "name": "ZHANG CHUNMING", "count": 42, "terms": [ { "term": "1104", "count": 18, "sections": 1, "gpa": 3.888888888888889 }, { "term": "1204", "count": 24, "sections": 1, "gpa": 3.7291666666666665 } ] }, { "uid": "instructor_9ccfca7f6342a0641304379e", "name": "ANRU ZHANG", "count": 26, "terms": [ { "term": "1184", "count": 26, "sections": 1, "gpa": 3.923076923076923 } ] }, { "uid": "instructor_b12e39754963266e67c2e708", "name": "KJELL DOKSUM", "count": 11, "terms": [ { "term": "1084", "count": 11, "sections": 1, "gpa": 3.772727272727273 } ] }, { "uid": "instructor_6ef6ba5b00788b0ab8154cde", "name": "JUN SHAO", "count": 9, "terms": [ { "term": "1124", "count": 9, "sections": 1, "gpa": 4 } ] } ] ``` ## following None recorded.