Search for tag: "probability density function"

9 Media

Illustrate Finding the Joint PDF of Sample from… duration 8 minutes 25 seconds Illustrate Finding the Joint PDF of Sample from… Illustrate Finding the Joint PDF of Sample from Exponential Family	Illustrate Finding the Joint PDF of Sample from Exponential Family An example to illustrate how to find the joint probability density function of a random sample from a gamma distribution using the result that the gamma family of distributions is an exponential… random sample gamma distribution exponential family joint probability density function From Jane Harvill 103 plays 0
Joint and Marginal Distributions, Continuous Case duration 13 minutes 26 seconds Joint and Marginal Distributions, Continuous Case Joint and Marginal Distributions, Continuous Case	Joint and Marginal Distributions, Continuous Case The previous lesson concluded with joint and marginal distributions for the discrete case. We now consider the same concepts, but for continuous random vectors. While discrete random vectors and the… joint probability density function joint cumulative distribution function expected value marginal probability density function From Jane Harvill 155 plays 0
Location-Scale Families duration 11 minutes 42 seconds Location-Scale Families Location-Scale Families	Location-Scale Families We discuss three techniques for constructing families of distributions. The resulting families have ready physical interpretations that make them useful for modeling as well as convenient… standard probability density function location family location parameter scale family scale parameter location-scale family inverse transformation mean variance From Jane Harvill 410 plays 0
Beta Distribution duration 9 minutes 19 seconds Beta Distribution Beta Distribution	Beta Distribution The beta distribution is the last continuous distribution we will discuss. Like the gamma distribution, the beta distribution earns its name from being associated with the beta function. The beta… beta distribution probability density function cumulative distribution function mean variance shape parameter beta function nth moment From Jane Harvill 47 plays 0
Normal Distribution duration 25 minutes 42 seconds Normal Distribution Normal Distribution	Normal Distribution In this lesson, we learn about the most important distribution in statistics - the normal distribution. We investigate the probability density function and cumulative distribution function and the… normal distribution probability density function cumulative distribution function mean variance moment generating function binomial distribution empirical rule standard normal distribution standardized variable z-score From Jane Harvill 63 plays 0
Gamma Distribution duration 17 minutes 36 seconds Gamma Distribution Gamma Distribution	Gamma Distribution The gamma family of distributions is a very special family that has many distributions as a specific case. In this lesson, we begin with the gamma function. We then introduce the gamma… gamma distribution cumulative distribution function probability density function mean variance moment generating function poisson distribution exponential distribution chi-squared distribution From Jane Harvill 258 plays 0
Uniform Distribution duration 10 minutes 52 seconds Uniform Distribution Uniform Distribution	Uniform Distribution An overview of the uniform distribution is given, including its probability density function (PDF) and cumulative distribution function (CDF). The mean, variance, and moment generating function are… uniform distribution probability density function cumulative distribution function mean variance moment generating function From Jane Harvill 77 plays 0
Continuous Distributions: A Review duration 8 minutes 22 seconds Continuous Distributions: A Review Continuous Distributions: A Review	Continuous Distributions: A Review In this lesson, a brief review of the general properties of continuous distributions is provided. The end of the lesson is a comparison of the properties for continuous and discrete distributions. continuous random variable cumulative distribution function probability density function expected value mean variance moment generating function discrete random variable From Jane Harvill 61 plays 0
Probability Density Functions duration 32 minutes 47 seconds Probability Density Functions Probability Density Functions	Probability Density Functions In this lesson, probability density functions are introduced, defined, and discussed. Properties of probability mass functions and probability density functions are presented. Concepts are… probability density function continuous random variable probability mass function discrete random variable cumulative distribution function From Jane Harvill 137 plays 0