Blogs about: Independent Random Variables

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Working with Order Statistics, Part 1

Dan Ma wrote 4 days ago: This post is to demonstrate the methods and techniques for an Exam P (Exam 1) practice problem. This … more →

Tags: 3. Multivariate Probability Distributions, 3-9. Transformations and Order Statistics, SOA Exam P, actuarial exam, CAS Exam 1, order statistics, Exponential Distribution, uniform distribution, Mean

Picking Two Types of Binomial Trials

Dan Ma wrote 1 year ago: We motivate the discussion with the following example. The notation denotes the statement that has a … more →

Tags: Probability Theory, Probability, conditional distribution, Probability and Statistics, hypergeometric distribution, binomial distribution, bernoulli distribution, Independent Sum

When is Independence not Independence?1 comment

jmanton wrote 1 year ago: This brief article uses statistical independence as an example of when a mathematical definition is … more →

Tags: Informal Classroom Notes, Independence, statistical independence, functional dependence

The Poisson Distribution

Dan Ma wrote 1 year ago: Let be a positive constant. Consider the following probability distribution: The above distribution … more →

Tags: Frequency Models, Probability, statistical modeling, binomial distribution, Poisson distribution, Poisson Process, generating function, Probability and Statistics, variance

The generating function

Dan Ma wrote 1 year ago: Consider the function where is a positive constant. The following shows the derivatives of this func … more →

Tags: Probability, Severity Models, statistical modeling, binomial distribution, Poisson distribution, generating function, Moment Generating Function, Independent Sum, Random Variable


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