random-variables

  1. D

    Chapter 2 Random Variables

    What does it mean: 'The inf is only needed when measuring the quantile of distributions that have regions with no probability'?
  2. D

    Chapter 2 Random Variables

    What does it mean: 'where R(x) denotes the possible realizations rendered from the random variable X'?
  3. Nicole Seaman

    P1.T2.20.13. Coskewness and cokurtosis

    Learning objectives: Use sample data to estimate quantiles, including the median. Estimate the mean of two variables and apply the CLT. Estimate the covariance and correlation between two random variables. Explain how coskewness and cokurtosis are related to skewness and kurtosis. Questions...
  4. Nicole Seaman

    P1.T2.20.9. Linear transformation of covariance and correlation

    Learning objectives: Define covariance and explain what it measures. Explain the relationship between the covariance and correlation of two random variables and how these are related to the independence of the two variables. Explain the effects of applying linear transformations on the...
  5. Nicole Seaman

    P1.T2.20.4. Random variables (2nd of 2)

    Learning objectives: Explain the differences between a probability mass function and a probability density function. Characterize the quantile function and quantile-based estimators. Explain the effect of a linear transformation of a random variable on the mean, variance, standard deviation...
  6. Nicole Seaman

    P1.T2.20.3. Random variables (first of two)

    Learning objectives: Describe and distinguish a probability mass function from a cumulative distribution function and explain the relationship between these two. Understand and apply the concept of a mathematical expectation of a random variable. Describe the four common population moments...
  7. Fran

    P1.T2.304. Covariance (Miller)

    AIM: Define, calculate, and interpret the covariance and correlation between two random variables. Questions: 304.1. Two assets, X and Y, produce only three joint outcomes: Prob[X = -3.0%, Y = -2.0%] = 30%, Prob[X = +1.0%, Y = +2.0%] = 50%, and Prob[X = +5.0%, Y = +3.0%] = 20%: What is...
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