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- Math1710 - Probability And Statistics I

Roberto F.

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Random sample

A collection of observations from a random experiment

Classes

A division of the range of values in non-overlapping intervals

When to draw a histogram

Continous Data

When to draw a bar chart

Discrete data

Density

Relative frequency within the interval divided by the interval width

Why is the density-scaled histogram better than the relative frequency-scaled histogram

Appearance may be the same, however a density-scaled histogram allows us to easily compare the shape of more than one sample, even if the data points are different

Number of classes

Sample Standard Deviation

Sample Correlation Coefficient

Order Statistics

Full vs Reduced Box Plots

Interquartile Range

Probability

Sample Space

Event

Ways to assign probabilities

Axioms of probability

Law of Large Numbers

Frequentist/Objectivist

Subjectivists

Multiplication Principle

Permutation

Combinations

Random Variable

Range Space

Probability Mass Function

Expectance

Estimate

Variance

Bernoulli Trials

Binomial Distribution

Binomial Expectance and Variance

Geometric Distribution

Poisson Distribution

Hypergeometric Distribution

Finite Population Correlation Factor

Continuous Random Variable

Beta Distribution

Exponential Distribution

Normal Distribution

Normal Approximations (Binomial)

Central Limit Theorem

Equivalent Events

Probability Generating Functions

Standard PGFs

Independent Variable PGF Property

Statistical Inference

Estimator

A is favourable to B, when..

A is independent when

Joint Probability Mass Function

Marginal Probability Mass Function

Conditional Joint Probability Mass Functions

Statistically Independent (Joint)

Expectation From Joint Distributions

Variance Coding

Prior Distribution

Posterior Distribution

Likelihood

Beta-Binomial Model

Beta-Geometric Model

Exponential-Poisson Model

Continuity Correction

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