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Statistics is the science and practice of developing human knowledge through the use of empirical data expressed in quantitative form.It is based on statistical theory which is supposed to be a branch of applied mathematics.Within statistical theory, randomness and uncertainty are modeled by probability theory.
Topics for Probability and Statistics in Engineering:
- probability theory, parameter estimation, hypothesis testing , regression analysis, Total Probability , Bayes' Theorems, discrete random variables , continuous random variables , vectors, Bernoulli trial sequence , Poisson process models, conditional distributions, functions of random variables , statistical moments, second-moment uncertainty propagation.
- second-moment conditional analysis, exponential probability model, gamma probability model, normal probability model, lognormal probability model, uniform probability model, beta probability model, extreme-type distributions, Sample Spaces , Events, Probability Axioms Rules, Conditional Probability, Total Probability, Independence, Bayes’ Theorem.
- Discrete Random Variables, PMF, CDF, Expected Values, Discrete Distributions , Continuous Random Variables, Continuous Distributions, Multiple Discrete Random Variables, Multiple Continuous Random Variables, Covariate, Correlation, Bivariate Normal Distribution, Functions of Random Variables, Sampling, Central Limit Theorem, Confidence Intervals , Hypothesis Testing, Linear Regression.
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