| Catatan Tambahan | Silabus kuliah :
Mata kuliah ini membahas fondasi probabilitas dan statistika: pemodelan ketidakpastian, peubah acak diskrit/kontinu, sebaran peluang penting, transformasi peubah acak, hingga dasar‐dasar teori pencuplikan dan pembangkitan sampel acak. Penekanan pada pemahaman konsep, kemampuan menghitung, serta penerapan pada kasus nyata (quality control, reliabilitas, inferensi dasar).
Adapun Refernsi Perkuliahan ini diambil dari :
[1]. R. E. Walpole, R. H. Myers, S. L. Myers, and K. Ye, Probability & Statistics for Engineers & Scientists, 9th Edition, Pearson Education, 2016.
[2]. R. D. Yates and D. J. Goodman, Probability and Stochastic Processes: A Friendly Introduction for Electrical and Computer Engineers, 3rd Edition, Wiley, 2013.
[3]. J. L. Devore, Probability and Statistics for Engineering and the Sciences, 9th Edition, Cengage Learning, 2016 | Course description :
I. Concept of Opportunity: Sample Space, Events, Operation to Event, Enumeration of Snippet Points, Event Chances, Law of Chance, Conditional Probability, Bayes Rule
II. Random Variables: Concept of Random Variables, Discrete Probability Distributions, Continuous Probability Distributions, Empirical Distributions, Combined Probability Distributions, Expected Values, Expected Value Law, Properties of Variance, Chebyshev Theorem
III. Discrete Probability Distribution: Uniform distribution, Binomial and multinomial distribution, Hypergeometric distribution, Poisson distribution, Negative and geometric binomial distribution
IV. Continuous Probability Distribution: Normal/Gauss distribution, Areas below normal curve, Normal approximation for binomial distribution, Gamma, Exponential, and Chi-squared distribution, Weibull Distribution
V . Functions of Random Variables: Random Variable Transformations, Moment Generator Functions, Random Sampling, Sampling Theory, Mean Scatter Sampling, Scatter Sampling (n-1)S^2/Sigma^2, t-Distribution
VI. Estimation Theory: Introduction, Classical Estimation Method, Mean Estimation, Variance Estimation, Estimation Method
VII. Hypothesis Test
References :
[1]. R. E. Walpole, R. H. Myers, S. L. Myers, and K. Ye, Probability & Statistics for Engineers & Scientists, 9th Edition, Pearson Education, 2016.
[2]. R. D. Yates and D. J. Goodman, Probability and Stochastic Processes: A Friendly Introduction for Electrical and Computer Engineers, 3rd Edition, Wiley, 2013.
[3]. J. L. Devore, Probability and Statistics for Engineering and the Sciences, 9th Edition, Cengage Learning, 2016 |
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