| Kode Mata Kuliah | AK5183 / 4 SKS |
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| Penyelenggara | 208 - Aktuaria / FMIPA |
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| Kategori | Kuliah |
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| Bahasa Indonesia | English |
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| Nama Mata Kuliah | Probabilitas dan Statistika Aktuaria | Actuarial Statics and Probability |
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| Bahan Kajian | - Statistika Deskriptif
- Eksperimen acak
- Peluang
- Peubah acak dan distribusi peluang
- Ekspektasi Matematika
- Distribusi Multivariat
- Peluang bersyarat
- Sampel acak
- Distribusi Diskret
- Distribusi Kontinu
- Distribusi Normal Multivariat
- Statistika Terurut
- Distribusi Sampling
- Estimasi
- Uji Hipotesis
| - Descriptive Statistics
- Random experiment
- Probability
- Random variables and probability distributions
- Mathematical Expectation
- Multivariate distributions
- Conditional probability
- Random sample
- Discrete distributions
- Continuous distributions
- Multivariate Normal distribution
- Order Statistics
- Sampling distributions
- Estimation
- Hypothesis Testing
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| Capaian Pembelajaran Mata Kuliah (CPMK) | - Memahami karakteristik (mean dan variance) dan fungsi distribusi kumulatif dari: (a) distribusi univariat; (b) distribusi multivariat, masing-masing untuk distribusi bersama, marjinal, dan bersyarat.
- Memahami distribusi-distribusi yang relevan dengan kajian aktuaria
- Mampu melakukan inferensi pada data yang relevan dengan kajian aktuaria
- Menentukan distribusi dari fungsi peubah acak dan nilai ekspektasinya
- Memahami sampling acak dan distribusinya, dan pengaruh dari ukuran sampel terhadap distribusi dan karakteristiknya
- Memahami dan menentukan distribusi statistik terurut.
| - Understand the characteristics (mean and variance) and cumulative distribution functions of: (a) univariate distributions; (b) multivariate distributions, for joint, marginal, and conditional distributions respectively
- Understand distributions relevant to actuarial studies
- Able to perform inference on data relevant to actuarial studies
- Determine the distribution of functions of random variables and their expected values
- Understand random sampling and its distribution, and the impact of sample size on the distribution and its characteristics
- Understand and determine the distribution of order statistics
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| Metode Pembelajaran | Ceramah, Diskusi | Lecture, Discussion |
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| Modalitas Pembelajaran | Bauran
Sinkron/asinkron
Mandiri/ Kelompok | 1. Blended / Hybrid
2. Synchronous / Asynchronous
3. Independent / Group |
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| Jenis Nilai | ABCDE |
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| Metode Penilaian | Tugas, Kuis, Ujian | Assignments, Quizzes, Exams |
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| Catatan Tambahan | | |
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