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The course covers severity, frequency, and aggregate loss models, including risk measures and value at risk, heavy-tailed and mixed distributions, and coverage modifications. It also introduces stochastic processes and Poisson processes, univariate distribution construction, and applications such as stochastic sampling, premium calculations, and discrete-time risk models. Assessments use assignments, a midterm open-book exam, and a final open-book exam, with participation affecting marks.",{"@graph":69,"@context":123},[70,84,106],{"@type":71,"itemListElement":72},"BreadcrumbList",[73,77,79,82],{"item":74,"name":75,"@type":76,"position":8},"https://docshare.wps.com","Home","ListItem",{"item":78,"name":9,"@type":76,"position":14},"https://docshare.wps.com/document/",{"item":80,"name":20,"@type":76,"position":81},"https://docshare.wps.com/document/exam/",3,{"item":83,"name":65,"@type":76,"position":19},"https://docshare.wps.com/document/stat-3660-a-actuarial-mathematics-i-course-syllabus/399187/",{"url":83,"name":65,"@type":85,"image":86,"author":91,"headline":65,"publisher":94,"fileFormat":97,"inLanguage":63,"description":67,"dateModified":98,"datePublished":99,"encodingFormat":97,"isAccessibleForFree":100,"interactionStatistic":101},"DigitalDocument",{"url":87,"@type":88,"width":89,"height":90},"https://docshare.wps.com/thumbnails/stat-3660-a-actuarial-mathematics-i-course-syllabus/399187.png","ImageObject",300,407,{"name":92,"@type":93},"Margaret","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-10","2026-09-27",true,{"@type":102,"interactionType":103,"userInteractionCount":105},"InteractionCounter",{"@type":104},"ViewAction",14,{"@type":107,"mainEntity":108},"FAQPage",[109,115,119],{"name":110,"@type":111,"acceptedAnswer":112},"What is the main objective of STAT 3660 A: Actuarial Mathematics I?","Question",{"text":113,"@type":114},"The course aims to teach concepts and tools for modeling, estimating, and pricing risks in non-life insurance, including frequency, severity, and aggregate models for short-term actuarial applications.","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"What topics are covered in the course?",{"text":118,"@type":114},"Topics include severity/frequency models, loss models, risk measures, value at risk, stochastic processes such as Poisson processes, creating univariate distributions, heavy-tailed and mixed distributions, and coverage modifications.",{"name":120,"@type":111,"acceptedAnswer":121},"How are student grades determined and what do the exams cover?",{"text":122,"@type":114},"Assignments account for 45%, the midterm for 20%, and the final for 35%, with up to a 3% adjustment based on participation. The midterm is an open-book exam covering chapters 1 to 3, and the final is a 3-hour open-book exam covering chapters 1 to 7 with a minimum 50% on both exams.","https://schema.org",{"og:url":83,"og:type":125,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":127,"canonical":83},"index,follow",{"doc_id":129,"site_id":62},399187,1790531689,{"code":4,"msg":5,"data":132},{"doc_id":129,"user_id":133,"nickname":92,"user_avatar":134,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":135,"file_id":136,"file_url":137,"file_type":138,"file_size":139,"view_count":105,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":24,"language":140,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":141,"faqs":142,"seo_title":143,"seo_description":67,"update_tm":144,"read_time":145,"preview_page_count":4},137451207643,"https://ap-avatar.wpscdn.com/davatar_3d24733baf745e90a7e4bdd5f77d97b2","STAT 3660 A: Actuarial Mathematics I  \nItre Mtalai  \nFall 2021  \nE-mail: Itre.Mtalai@carleton.ca Web: [https://brightspace.carleton.ca/](https://brightspace.carleton.ca/)  \n[Of](Of)fi[ce Hours: will be posted Brightspace](ce Hours: will be posted Brightspace). Class Hours: Mon. & Wed. 1:05 pm-2:25 pm  \nCourse Description  \nThe objective of this course is to learn some concepts and tools related to modelling, estimating and pricing risks in non-life insurance. It will introduce students to a variety of frequency, severity, and aggregate models that are useful for short-term actuarial applications. It will cover the following topics: severity/frequency models, loss models, risk measures, value at risk, stochastic processes, Poisson process, characteristics of actuarial models, creating new univariate distributions, heavy-tailed distributions, mixed distributions, coverage modifications.  \nThis course attempts to cover portions of the syllabus for the fifth exam given by the Society of Actuaries (Exam STAM: Short-Term Actuarial Mathematics) . The syllabus for STAM may be found at [https://www.soa.org/globalassets/assets/files/edu/2020/2020-06-exam-stam-syllabi](https://www.soa.org/globalassets/assets/files/edu/2020/2020-06-exam-stam-syllabi). pdf.  \nRequired Materials  \n􀀏 Course material will be posted on Brightspace.  \n􀀏 Textbook: Loss Models: From Data to Decisions,(Fifth Edition), 2019, by Klugman, S.A., Panjer, H.H. and Willmot, G.E., Wiley, ISBN: 978-1-119-52378-9 . Its solutions manual is also available.  \nPrerequisites/Corequisites  \nPrerequisites: STAT 2655 with grades of C+ or higher; or permission of the School.  \nGrading Policy  \nI reserve the right to adjust a student's final mark by up to 3% based on participation. The grade will count the assessments using the following proportions:  \n􀀏 Assignments: 45% .  \n􀀏 Midterm exam: 20% .  \n􀀏 Final exam: 35% .  \nExams an Assignments  \nAssignments  \nThree assignments of 15% each.  \nMidterm exam  \nThe midterm exam is an open book exam that covers the material seen in chapters 1 to 3 (weeks 1-8) .  \nStudents who miss the midterm because of a legitimate and documented reason, may apply to write a deferred exam, see [http://carleton.ca/registrar/wp-content/uploads/med_cert](http://carleton.ca/registrar/wp-content/uploads/med_cert) . pdf.  \nFinal exam  \nThe final exam is a 3-hours open book exam that covers the material seen in chapters 1 to 7 . Students are required to obtain a minimum score of 50% on both exams.  \nStatistical software  \nThis course will require the use of a statistical software of choice such as R or Python.  \nTentative Course Outline  \nThis course includes seven chapters.  \n1. Chapter 1: Probability theory-review.  \n2. Chapter 2: Individual risk modelling.  \n3. Chapter 3: Collective risk modelling.  \n4. Chapter 4: Stochastic Sampling.  \n5. Chapter 5: Premium Calculations and Aggregate Models.  \n6. Chapter 6: Coverage modification.  \n7. Chapter 7: Discrete time risk models.  \nTentative Course Schedule  \n\n| Week | Chapter | Topics |\n| --- | --- | --- |\n\n\n| 0 | CH 0 | First Activities, STAM exam overview |\n| --- | --- | --- |\n| 1-2 | CH 1 | Functions and moments, Probability distributions, Variance, Conditional probability and expectation, conditional variance, risk measures. |\n| 2-4 | CH 2 | Frequency models, severity models |\n| 5-7 | CH 3 | Collective risk models, Risk measures,\u003Cbr>Risk pooling, Costs per contract. |\n\n\n| N/A | N/A | FALL BREAK |\n| --- | --- | --- |\n\n\n| 8 | CH 4 | Stochastic Sampling-Inverse method, Mixture distributions, estimation of VaR and TVaR |\n| --- | --- | --- |\n| 9-10 | CH 5 | Sum of independent rvs, Panjer Algorithm,\u003Cbr>discretization, FFT |\n| 10-11 | CH 6 | Deductibles, limits, coinsurance |\n| 12 | CH 7 | Introduction to Ruin theory, Lundberg exponential bound |\n\nCourse Policies  \nAcademic integrity  \nThe University Senate defines plagiarism as \"presenting, whether intentionally or not, the ideas, expression of ideas or work of others as one's","cbCaieA2XcZUtHAL","https://ap.wps.com/l/cbCaieA2XcZUtHAL","pdf",91833,"English","# Course Description\n## Required Materials\n## Prerequisites and Grading Policy\n## Exams and Assignments\n## Statistical Software\n## Tentative Course Outline\n## Course Schedule\n## Course Policies\n## Academic Integrity\n## Accommodations","[{\"question\":\"What is the main objective of STAT 3660 A: Actuarial Mathematics I?\",\"answer\":\"The course aims to teach concepts and tools for modeling, estimating, and pricing risks in non-life insurance, including frequency, severity, and aggregate models for short-term actuarial applications.\"},{\"question\":\"What topics are covered in the course?\",\"answer\":\"Topics include severity/frequency models, loss models, risk measures, value at risk, stochastic processes such as Poisson processes, creating univariate distributions, heavy-tailed and mixed distributions, and coverage modifications.\"},{\"question\":\"How are student grades determined and what do the exams cover?\",\"answer\":\"Assignments account for 45%, the midterm for 20%, and the final for 35%, with up to a 3% adjustment based on participation. The midterm is an open-book exam covering chapters 1 to 3, and the final is a 3-hour open-book exam covering chapters 1 to 7 with a minimum 50% on both exams.\"}]","STAT 3660 A - Actuarial Mathematics I - Course Syllabus | PDF",1790494367,13]