Statistics

Program Overview

Statistical Sciences involves the study of random phenomena and encompasses a broad range of scientific, industrial, and social processes. As data become ubiquitous and easier to acquire, particularly on a massive scale, models for data are becoming increasingly complex. The past several decades have witnessed a vast impact of statistical methods on virtually every branch of knowledge and empirical investigation.

​There are also opportunities for study and research in the fields of (a) Statistical Theory and Applications and (b) Probability, leading to the Master of Science and Doctor of Philosophy degrees, and (c) Actuarial Science and Mathematical Finance, leading to the Doctor of Philosophy degree. Please visit the departmental website for further details about the fields offered, the research being conducted, and the course offerings.

​The department has substantial computing facilities available and operates a statistical consulting service for t​he University’s research community. Programs of study may involve association with other departments such as Computer Science, Economics, Engineering, Mathematics, Public Health Sciences, and the Rotman School of Management. The department maintains an active seminar series and strongly encourages graduate student participation.

MSc and PhD students have supervisors that are chosen for them. They have the option to change supervisors one year later if they choose to do so.

 


Quick Facts

Domestic International
Application payment deadline PhD:

15-Nov-2019

MSc:

15-Jan-2020

PhD:

15-Nov-2019

MSc:

15-Jan-2020

Supporting documents deadline PhD:

30-Nov-2019

MSc:

22-Jan-2020

PhD:

30-Nov-2019

MSc:

22-Jan-2020

Minimum admission average MSc:

mid-B in final year of bachelor’s

PhD:

B+ average in Master’s

 

MSc:

mid-B in final year of bachelor’s

PhD:

B+ average in Master’s

 

Direct entry option from bachelor's to PhD? PhD:

Yes (minimum A-minus average in bachelor’s degree)

PhD:

Yes (minimum A-minus average in bachelor’s degree)

Is a supervisor identified before or after admission? MSc, PhD:

Before

:
MSc, PhD:

Before

If a supervisor is identified after admission (as per question above), is admission conditional upon securing a supervisor? MSc, PhD:

No

MSc, PhD:

No

Is a supervisor assigned by the graduate unit or secured by the applicant? MSc, PhD:

Graduate Unit

MSc, PhD:

Graduate Unit

Program length (full-time only) MSc:

3 sessions

PhD:

4 years; 5 years if entering directly from bachelor’s

MSc:

3 sessions

PhD:

4 years; 5 years if entering directly from bachelor’s


Master of Science​​

Program Description

Students in the MSc program can conduct research in the fields of (a) Statistical Theory and Applications or (b) Probability. The program offers numerous courses in theoretical and applied aspects of Statistical Sciences, which prepare students for pursuing a PhD program or directly entering the data science workforce.

The MSc program can be taken on a full-time or part-time basis. Program requirements are the same for the full-time and part-time options.
 

Fields:
Statistical Theory and Applications​;
Probability

Minimum Admission Requirements

  • Admission to the MSc program is competitive, and applicants are admitted under the General Regulations of the School of Graduate Studies. Admission requirements for the Statistical Theory and Applications field and the Probability field are identical. Successful applicants have:

    • ​​​An appropriate bachelor's degree from a recognized university in a related field such as statistics, actuarial science, mathematics, economics, engineering, or any discipline where there is a significant quantitative component. Studies must include significant exposure to statistics, computer science, and mathematics, including coursework in advanced calculus, computational methods, linear algebra, probability, and statistics.

    • An average grade equivalent to at least a University of Toronto mid-B in the final year or over senior courses.

    • Three letters of reference.

    • A curriculum vitae.

  • Applicants whose primary language is not English and who graduated from a university where the language of instruction and examination was not English must demonstrate proficiency in English. See General Regulations section 4.3 for requirements.

Program Requirements

  • Both the Statistical Theory and Applications field and the Probability field have the same program requirements. All programs must be approved by the Associate Chair for Graduate Studies.

  • Students must complete a total of 4.0 full-course equivalents (FCEs), of which 2.0 must be chosen from the list below:

    • ​​STA 2101H Methods of Applied Statistics I.

    • STA 2201H Methods of Applied Statistics II

    • STA 2111H Probability Theory I

    • STA 2211H Probability Theory II

    • STA 2112H Mathematical Statistics I

    • STA 2212H Mathematical Statistics II.

  • The remaining 2.0 FCEs may be selected from:

    • ​​​any Department of Statistical Sciences 2000-level course or higher

    • any 1000-level course or higher in another graduate unit at the University of Toronto with sufficient statistical, computational, probabilistic, or mathematical content

    • one 0.5 FCE as a reading course

    • one 0.5 FCE as a research project

    • a maximum of 1.0 FCE from any STA 4500-level modular course (each are 0.25 FCE)​.

  • All programs must be approved by the Associate Chair for Graduate Studies. Students must meet with the Associate Chair to ensure that their program meets the requirements and is of sufficient depth.

  • Part-time students are limited to taking 1.0 FCE during each session. In exceptional cases, the Associate Chair for Graduate Studies may approve 1.5 FCEs in a given session.

Program Length

3 sessions full-time (typical registration sequence: F/W/S);
6 sessions part-time

Time Limit

3 years full-time;
6 years part-time

​​Doctor of Philosophy​

Program Description

Students in the PhD program can conduct research in the fields of (a) Statistical Theory and Applications or (b) Probability or (c) Actuarial Science and Mathematical Finance. The research conducted in the department is vast and covers a diverse set of areas in theoretical and applied aspects of Statistical Sciences. Students have the opportunity to work in multidisciplinary areas and team up with researchers in, for example, Biostatistics, Computer Science, Economics, Engineering, and the Rotman School of Management. The main purpose of the program is to prepare students for pursuing advanced research both in academia and in research institutes.

Applicants may enter the PhD program via one of two routes: 1) following completion of an appropriate master’s degree or 2) direct entry after completing an appropriate bachelor’s degree.
 

Fields:
Statistical Theory and Applications;
Probability

PhD Program

Minimum Admission Requirements

  • Admission to the PhD program is competitive, and applicants are admitted under the General Regulations of the School of Graduate Studies.

  • Applicants may be accepted with a master's degree in statistics from a recognized university with at least a B+ average. Applicants with degrees in biostatistics, computer science, economics, engineering, mathematics, physics, or any discipline where there is a significant quantitative component will be also be considered.

  • Three letters of recommendation.

  • A curriculum vitae.

  • A letter of intent or personal statement outlining goals for graduate studies.

  • Applicants whose primary language is not English and who graduated from a university where the language of instruction and examination was not English must demonstrate proficiency in English. See General Regulations section 4.3 for requirements.

Program Requirements

Course Requirements
  • During Year 1, students are required to complete the following 3.0 full-course equivalents (FCEs):

    • ​​​STA 2111H Probability Theory I

    • STA 2211H Probability Theory II

    • STA 2101H Methods of Applied Statistics I

    • STA 2201H Methods of Applied Statistics II

    • STA 3000Y Advanced Theory of Statistics.

Comprehensive Examination Requirements
  • At the end of Year 1, students must attempt the following comprehensive examinations:

    • ​​​​Probability

    • Theoretical Statistics

    • Applied Statistics.

      All three examinations must be passed by the end of Year 2.

Thesis Requirements

Conducting original research is the most important part of doctoral work. The thesis document must constitute significant and original contribution to the field. Students will have yearly meetings with a committee of no less than three faculty members to assess their progress. The completed thesis must be presented and defended within the Department of Statistical Sciences in addition to being presented and defended at the School of Graduate Studies.
 

Residency Requirements

Students must also satisfy a two-year residency requirement, whereby students must be on campus full-time and consequently in geographical proximity to be able to participate fully in the University activities associated with the program.
 

Program Length

4 years

Time Limit

6 years
 

PhD Program (Direct-Entry)

Minimum Admission Requirements

  • Admission to the PhD program is competitive, and applicants are admitted under the General Regulations of the School of Graduate Studies.

  • Applicants may be accepted via direct entry with a bachelor's degree in statistics from a recognized university with at least an A– average. The department also encourages applicants from biostatistics, computer science, economics, engineering, mathematics, physics, or any discipline where there is a significant quantitative component.

  • Three letters of recommendation.

  • A curriculum vitae.

  • A letter of intent or personal statement outlining goals for graduate studies.

  • Applicants whose primary language is not English and who graduated from a university where the language of instruction and examination was not English must demonstrate proficiency in English. See General Regulations section 4.3 for requirements.

Program Requirements

Course Requirements
  • During Year 1, students are required to complete the following 3.0 full-course equivalents (FCEs):

    • ​​​STA 2111H Probability Theory I

    • STA 2211H Probability Theory II

    • STA 2101H Methods of Applied Statistics I

    • STA 2201H Methods of Applied Statistics II

    • STA 3000Y Advanced Theory of Statistics.

  • Students must complete an additional 2.0 FCEs at the graduate level. The additional courses must be approved by the Associate Chair of Graduate Studies.

Comprehensive Examination Requirements
  • At the end of Year 1, students must attempt the following comprehensive examinations:

    • ​​​​Probability

    • Theoretical Statistics

    • Applied Statistics.

      All three examinations must be passed by the end of Year 2.

Thesis Requirements

Conducting original research is the most important part of doctoral work. The thesis document must constitute significant and original contribution to the field. Students will have yearly meetings with a committee of no less than three faculty members to assess their progress. The completed thesis must be presented and defended within the Department of Statistical Sciences in addition to being presented and defended at the School of Graduate Studies.
 

Residency Requirements

Students must also satisfy a three-year residency requirement, whereby students must be on campus full-time and consequently in geographical proximity to be able to participate fully in the University activities associated with the program.
 

Program Length

5 years

Time Limit

7 years
 

Field: Actuarial Science and Mathematical Finance

PhD Program

Minimum Admission Requirements

  • Admission to the PhD program is competitive, and applicants are admitted under the General Regulations of the School of Graduate Studies.

  • Applicants may be accepted with a master's degree in statistics from a recognized university with at least a B+ average. Applicants with degrees in biostatistics, computer science, economics, engineering, mathematics, physics, or any discipline where there is a significant quantitative component will be also be considered.

  • Three letters of recommendation.

  • A curriculum vitae.

  • A letter of intent or personal statement outlining goals for graduate studies.

  • Applicants whose primary language is not English and who graduated from a university where the language of instruction and examination was not English must demonstrate proficiency in English. See General Regulations section 4.3 for requirements.

Program Requirements

Course Requirements
  • During Year 1, students must complete the following 3.0 full-course equivalents (FCEs):

    1. All of:

      • STA 2111H Probability Theory I,

      • STA 2211H Probability Theory II, and

      • STA 2503H Applied Probability for Mathematical Finance

    2. One of:

      • STA 4246H Research Topics in Mathematical Finance or

      • STA 2501H Mathematical Risk Theory

    3. Either:

      • STA 3000Y Advanced Theory of Statistics or

      • STA 2101H Methods of Applied Statistics I and

      • STA 2201H Methods of Applied Statistics II.

Comprehensive Examination Requirements
  • ​​​​At the end of Year 1, students must attempt the following comprehensive examinations:

    • Probability

    • Actuarial Science and Mathematical Finance

    • Theoretical Statistics or Applied Statistics.

      All three examinations must be passed by the end of Year 2.

Thesis Requirements

Conducting original research is the most important part of doctoral work. The thesis document must constitute significant and original contribution to the field. Students will have yearly meetings with a committee of no less than three faculty members to assess their progress. The completed thesis must be presented and defended within the Department of Statistical Sciences in addition to being presented and defended at the School of Graduate Studies.
 

Residency Requirements

Students must also satisfy a three-year residency requirement, whereby students must be on campus full-time and consequently in geographical proximity to be able to participate fully in the University activities associated with the program.
 

Program Length

5 years

Time Limit

7 years

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