Search for tag: "cumulative distribution function"

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Example: Find Confidence Interval by Inverting… duration 16 minutes 16 seconds Example: Find Confidence Interval by Inverting… Example: Find Confidence Interval by Inverting CDF of an Estimator	Example: Find Confidence Interval by Inverting CDF of an Estimator A confidence interval estimator for the shift parameter is found by inverting the CDF of a sufficient statistic for the parameter. confidence interval estimator cumulative distribution function factorization theorem order statistics From Jane Harvill 480 plays 0
Finding Interval Estimators duration 42 minutes 11 seconds Finding Interval Estimators Finding Interval Estimators	Finding Interval Estimators In this first lesson on interval estimation, we address three methods in the frequentist domain for finding interval estimators. The first is the inversion of a test statistic, the second is using… acceptance region pivotal quantity cumulative distribution function From Jane Harvill 325 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
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
Poisson Distribution duration 11 minutes 45 seconds Poisson Distribution Poisson Distribution	Poisson Distribution The Poisson distribution is different from all of the discrete distributions we have considered up until this point. Instead of counting the number of "successes" or counting the number of… poisson distribution probability mass function cumulative distribution function moment generating function mean variance rate approximation From Jane Harvill 53 plays 0
Negative Binomial Distribution duration 13 minutes 41 seconds Negative Binomial Distribution Negative Binomial Distribution	Negative Binomial Distribution The negative binomial distribution is an extension of the geometric distribution, and so is also related to the Bernoulli distribution. Whereas the geometric distribution results from counting the… negative binomial distribution bernoulli trials probability mass function cumulative distribution function moment generating function From Jane Harvill 164 plays 0
Geometric Distribution duration 17 minutes 46 seconds Geometric Distribution Geometric Distribution	Geometric Distribution Like the binomial and hypergeometric distributions, the geometric distribution is related to the Bernoulli(p) distribution. Unlike the binomial and hypergeometric distributions, the geometric… geometric distribution geometric series probabiity mass function cumulative distribution function moment generating function mean variance memoryless From Jane Harvill 47 plays 0
Bernoulli Distribution duration 10 minutes 45 seconds Bernoulli Distribution Bernoulli Distribution	Bernoulli Distribution The Bernoulli and binomial distributions are used for modeling a dichotomous experiment or a sequence of independent dichotomous experiments, respectively. Alone, both distributions apply to a wide… bernoulli distribution bernoulli experiment bernoulli random variable mean variance moment generating function probability mass function cumulative distribution function From Jane Harvill 58 plays 0
Discrete Distributions: A Review duration 11 minutes 53 seconds Discrete Distributions: A Review Discrete Distributions: A Review	Discrete Distributions: A Review In this lesson, a brief review of the general properties of discrete distributions is provided. discrete distribution probability mass function cumulative distribution function mean variance moment generating function From Jane Harvill 52 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
Distribution Functions duration 32 minutes 41 seconds Distribution Functions Distribution Functions	Distribution Functions This lesson is the first of many that discuss probability functions. We begin the discussion of probability functions with the cumulative distribution function (CDF). The CDF is defined and… cumulative distribution function discrete random variable continuous random variable identically distributed right continuous continuous From Jane Harvill 124 plays 0