Probability and Statistics 2

This class was created by Brainscape user Caleb Pleavin. Visit their profile to learn more about the creator.

Decks in this class (18)

1) Random Variables
What is a sample space,
What is an event,
Describe some of the common notat...
31  cards
2) Multivariate Random Variables
When are two events independent,
What is the joint cumulative dist...,
When are two bivariate random var...
24  cards
3) Expectation
The expectation of a discrete ran...,
What is yhe expectation of a cont...,
What is the variance of a random ...
26  cards
4) Generating Functions
What is the probability generatin...,
If x is finite what does it pgf l...,
How can you find p x k for a disc...
25  cards
5) Sampling and Convergence
What is a random sample of size n...,
What is the sample mean,
What are the expectation and vari...
15  cards
6) Multivariate Normal Distribution
1what is the mean vector and cova...,
What are the properties of expect...,
Ow does the covariance formula fo...
15  cards
1) Overview of Statistical Learning
What is an exponential family,
What is an empirical estimator,
What is the emperical estimate of...
8  cards
2) Entropy and Fisher Information
What is the surprise shannon info...,
What is the log odds ratio,
What is entropy
19  cards
3) Maximum Likelihood Estimation
What is the likelihood function a...,
What is the score function,
What steps are involved in findin...
11  cards
4) Quadratic approximation and normal asymptotics
What is the quadratic approximati...,
What is the information inequality,
What is the asymptotic distributi...
11  cards
5) Likelihood-based confidence interval and likelihood ratio
What is the wilks log likelihood ...,
What are the advantages of using ...,
What is the quadratic approximati...
8  cards
6) Optimality properties and conclusion
What is a summary statistic t d a...,
When is a statistic sufficient,
How does the existence and unique...
10  cards
7) Conditioning and Bayes rule
What is bayes theorem,
What does the law of total expect...,
What is conditional entropy
8  cards
8) Models with latent variables and missing data
What is the difference between co...,
What is the bserved data log like...,
How can we obtain probabilistic p...
5  cards
9) Essentials of Bayesian statistics
How is the bayesian posterior dis...,
What is the difference between ba...,
How can the bayesian update proce...
3  cards
10) Bayesian learning in practise
What is the pdf of the beta distr...,
What are the parameters of the pr...,
In terms of mean parameterization...
14  cards
11) Bayesian model comparison
What is the marginal likelihood i...,
What distinguishes a simple model...,
How is the likelihood of a compos...
15  cards
12) Choosing priors in Bayesian analysis
What are two useful ways to choos...
1  cards

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Probability and Statistics 2

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